Stellar Explosions Explosions

Total Page:16

File Type:pdf, Size:1020Kb

Stellar Explosions Explosions Chapter 21: Stellar Explosions Explosions © 2017 Pearson Education, Inc. Chapter 21: Stellar Explosions • The Final Fate of Stars • Low Mass Stars – Forming White Dwarfs – The Fate of a White Dwarf • Novae • High Mass Stars – Fusion of Heavy Elements – Collapse of the Iron Core – Photodisintegration • Supernovae • Making elements heavier than Iron • The Cycle of Stellar Evolution © 2017 Pearson Education, Inc. Final Fate of Stars • A low mass star (up to ¼ solar masses) cannot achieve the temperatures required to fuse He. After the main sequence 1 2 + – 4 1H → 4He + 2 e + 휈푒 It forms a Helium white dwarf. © 2017 Pearson Education, Inc. • A star of mass greater than ¼ solar masses but less than 8 solar masses will achieve the temperatures required to fuse He to C and O 2 6 – 3 4He → 12C 2 6 8 – 4He + 12C → 16O and forms a Carbon-Oxygen white dwarf © 2017 Pearson Education, Inc. Final Fate of Stars • Even larger stars, of mass greater than 8 solar masses but less than 12 solar masses can go on to fuse O with He to form Ne 2 8 10 – 4He + 16O → 20Ne ending up as Neon-Oxygen white dwarfs. • Stars of mass greater that 12 solar masses will have a very different history. Electron degeneracy pressure cannot sustain the core • This leads to a catastrophic explosion that leaves behind a neutron star. • The explosion is called a supernova. © 2017 Pearson Education, Inc. Final Fate of Stars © 2017 Pearson Education, Inc. White Dwarfs, Binaries and Novae • As the white dwarf cools, its size does not change much; it simply gets dimmer and dimmer, and should finally cease to glow (black dwarf). White dwarfs are sustained by electron degeneracy. • However, we sometimes see white dwarfs suddenly brighten, i.e., turn nova. • Nova Persei, a WD that suddenly brightened by a factor of 40,000! • In general, a nova is a star that flares up very suddenly and then returns slowly to its former luminosity. © 2017 Pearson Education, Inc. White Dwarfs, Binaries and Novae • We know today that a nova is a white dwarf that is undergoing an explosion on its surface • The explosion results in a rapid and temporary increase of its luminosity • What causes a white dwarf to undergo surface explosions? © 2017 Pearson Education, Inc. White Dwarfs, Binaries and Novae • A white dwarf that is part of a semidetached binary system can undergo repeated novas. © 2017 Pearson Education, Inc. White Dwarfs, Binaries and Novae • Material falls onto the white dwarf from its main- sequence companion. • This forms a swirling disk of matter around the white dwarf. The disk gets hotter and hotter (by friction or viscosity) even as it falls in and becomes more and more luminous. • The gas becomes denser as it builds up on the surface because of the great mass and small radius of the white dwarf. • When enough material has accreted, fusion can reignite very suddenly, burning off the new material. © 2017 Pearson Education, Inc. White Dwarfs, Binaries and Novae • The sudden start of fusion can generate shock waves that blow the surface layers into space. • Material keeps being transferred to the white dwarf, and the process repeats. • A nova represents one way in which a dead star in a binary system can extend its life. © 2017 Pearson Education, Inc. Supernovae • Supernovae are far more catastrophic and luminous explosions than novae. • Supernovae are not “super” versions of novae. These explosions have a very different origin. • They can achieve luminosities that are over millions of times that of the sun. • They are one-time events. Once they occur, there is little or nothing left of the progenitor star. • Supernovae are classified by duration (light-curves) and by their absorption spectra. The most important consideration is the presence or absence of Hydrogen. © 2017 Pearson Education, Inc. Supernovae • There are two types of supernovae, both equally common, which exhibit very different light-curves: – Type I, is a carbon-detonation supernova – Type II, is a core-collapse supernova that occurs at the death of a high-mass star. © 2017 Pearson Education, Inc. Type I: Carbon Detonation Supernova Carbon-detonation supernova: • Each time a white dwarf in a binary goes nova, it ejects some of the matter it has collected from its companion. • Still, not all of it is eliminated and the white dwarf grows in size. • In time this white dwarf will accumulate too much mass from its binary companion. • If the white dwarf’s mass exceeds 1.4 solar masses (Chandrashekar limit), electron degeneracy can no longer keep the core from collapsing. • Carbon fusion begins throughout the star almost simultaneously, resulting in a carbon explosion. © 2017 Pearson Education, Inc. Type I: Carbon Detonation Supernova • This graphic illustrates this mechanism. • Nothing is left of the white dwarf after the Carbon Detonation. Type I supernovae are Hydrogen poor. • In this way, the heavier elements are transferred back to the Interstellar medium © 2017 Pearson Education, Inc. Type I: Carbon Detonation Supernova • On the right is an image of the supernova remnant G 299, which resulted from a Type I supernova explosion. • (Type I supernovae are used to measure the expansion of the universe) • The supernova remnant SN 1572. It resulted from a Type I supernova, visible to the naked eye and observed in 1572, in particular by Tycho Brahe. © 2017 Pearson Education, Inc. Larger Mass Stars • Larger mass stars are able to fuse heavier elements. The sequence goes like this 2 10 12 – 4He + 20Ne → 24Mg 2 12 14 – 4He + 24Mg → 28Si • This is the He capture sequence. It requires higher temperatures at every step and each step occurs faster. The last two stages occur appreciably only in stars of mass > 12 solar masses. Advanced nuclear fusion of the heavier elements then starts to occur: 6 8 14 – 12C + 16O → 28Si 2 14 16 – 4He + 28Si → 32S 14 14 28 – 28Si + 28Si → 56Fe © 2017 Pearson Education, Inc. Larger Mass Stars • Core temperatures of stars of mass greater than 12 solar masses allow the fusion of elements up to Fe. • Other pathways also occur, e.g., an intermediate mass element like Nitrogen is formed during the following reaction: 1 6 7 6 + – 1H + 12C → 13N → 13C + n + 푒 + 휈푒 6 1 7 – 13C + 1H → 14N • All these reactions release energy. • Iron is the heaviest element that is energetically favorable to fuse. • Fusion to even heavier elements obviously does occur, but now it removes energy from the star. © 2017 Pearson Education, Inc. Larger Mass Stars • But He capture continues, releasing energy, as well: 2 14 16 – 4He + 28Si → 32S 2 16 18 – 4He + 32S → 36Ar 2 18 20 – 4He + 36Ar → 40Ca 2 20 22 – 4He + 40Ca → 44Ti 2 22 24 – 4He + 44Ti → 48Cr 2 24 26 – 4He + 48Cr → 52Fe • and… at the cost of energy: 2 26 28 – 4He + 52Fe → 56Ni 2 28 30 – 4He + 56Ni → 60Zn – Etc. © 2017 Pearson Education, Inc. Large Mass Stars © 2017 Pearson Education, Inc. Nuclear Binding Energy © 2017 Pearson Education, Inc. Fate of the Iron Core • Iron lies at the lowest point of the curve, so with the appearance of substantial amounts of iron, fusion ceases. • The iron core has no way to generate the energy required to sustain itself and it begins to collapse. • With the collapse, the core temperature rises to about 10 billion degrees K. • Gravitational energy is released as heat in the form of photons. • According to Wien’s law these photons have a very small wavelength © 2017 Pearson Education, Inc. Fate of the Iron Core © 2017 Pearson Education, Inc. Photodisintegration • Wien’s Law: 2.898 × 10−3 휆 = = 2.898 × 10−13 m 푇 • They are smaller than the nucleus and extremely energetic. They act as high energy bullets and begin a process of photodisintegration of the heavy elements in the core. • In less than one second the process undoes all the effects of fusion, splitting the Iron nuclei into smaller and smaller pieces. • This process cools the core, reduces the pressure and accelerates the core’s collapse. © 2017 Pearson Education, Inc. Photodisintegration • Soon the core ends up where it began, made of protons, electrons and neutrons, but at much higher densities. • The gravitational force (weight of the core) is far too much for electron degeneracy to counterbalance it. • The electrons then begin to combine with the protons to form neutrons. This process is called neutronization − 푝 + 푒 → 푛 + 휈푒 • Since there are equal numbers of protons and electrons the central region of the core is now made of neutrons. © 2017 Pearson Education, Inc. Type II: Core Collapse Supernova • When the neutronization process begins, the core density is about 1012 kg/m3 • A very large number of neutrinos are produced in this process. These neutrinos carry out about 1046 Joules of energy (in about 10 seconds) because they interact weakly with matter. • As they get closer together, the neutrons begin to exert an outward degeneracy pressure on the core. • The core continues to collapse, compressing the matter to a density of 1017 kg/m3, at which point the neutron degeneracy pressure causes the collapse to halt. The outer layers rebound off the inner core. © 2017 Pearson Education, Inc. Type II: Core Collapse Supernova • A massive shock wave sweeps through the star, ejecting all the outer layers (including the heavy elements just formed) into space. This is a Core- Collapse Supernova. • A neutron core survives this type of a supernova explosion. Type II supernovae are Hydrogen rich. © 2017 Pearson Education, Inc. Supernova Remnants • Supernovae leave remnants—the expanding clouds of material from the explosion. • The core is bounded by an expanding shock wave, which is expanding into space and sweeping up material from the ISM Electrons ejected from the core are in the middle, The Crab nebula emitting radio synchrotron resulted from a Type II radiation.
Recommended publications
  • Stellar Explosions
    Chapter 11: Stellar Explosions Prof. Douglas Laurence AST 1002 What are Stellar Explosions? Stellar remnant, probably a neutron star. • When stars above a certain mass die (run out of fuel at their core), they will literally explode in novae, supernovae, or hypernovae • The explosions “blows away” some of the star, leaving a stellar remnant, which can be: • A white dwarf • A neutron star • Or a black hole Stellar and Remnants Masses • Stars with a (main sequence) mass < 8#⊙ will eventually become white dwarfs. • White dwarfs have a remnant mass < 1.4#⊙, known as the Chandrasekhar limit. • Stars with a mass < 25#⊙will eventually become neutron stars. • Neutron stars have a remnant mass < 3#⊙, known as the Tolman-Oppenheimer- Volkoff (TOV) limit. • Stars with mass > 25#⊙, or remnant mass > 3#⊙, become black holes. • What a star becomes is determined by the remnant mass; remnant masses trend with main sequence masses, but they’re the decider. • A star with a very large mass can have a dramatically lower remnant mass after a stellar explosion, if the explosion blows away much of the star’s mass. Novae and White Dwarfs • Very little mass is ejected by a nova, so it will not affect the type of stellar remnant left behind (which will invariably be a white dwarf.) • Novae can increase brightness by 10,000 times. • Some novae repeat themselves, becoming what are called recurrent novae. Mechanism of Nova Production • Novae occur in binary systems between a red giant and a white dwarf. • White dwarf is formed by planetary nebula. • Novae don’t produce white dwarfs.
    [Show full text]
  • Metadata of the Chapter That Will Be Visualized Online
    Metadata of the chapter that will be visualized online Chapter Title Binary Systems and Their Nuclear Explosions Copyright Year 2018 Copyright Holder The Author(s) Author Family Name Isern Particle Given Name Jordi Suffix Organization Institute of Space Sciences (ICE, CSIC) Address Barcelona, Spain Organization Institut d’Estudis Espacials de Catalunya (IEEC) Address Barcelona, Spain Email [email protected] Corresponding Author Family Name Hernanz Particle Given Name Margarita Suffix Organization Institute of Space Sciences (ICE, CSIC) Address Barcelona, Spain Organization Institut d’Estudis Espacials de Catalunya (IEEC) Address Barcelona, Spain Email [email protected] Author Family Name José Particle Given Name Jordi Suffix Organization Universitat Politècnica de Catalunya (UPC) Address Barcelona, Spain Organization Institut d’Estudis Espacials de Catalunya (IEEC) Address Barcelona, Spain Email [email protected] Abstract The nuclear energy supply of a typical star like the Sun would be ∼ 1052 erg if all the hydrogen could be incinerated into iron peak elements. Chapter 5 1 Binary Systems and Their Nuclear 2 Explosions 3 Jordi Isern, Margarita Hernanz, and Jordi José 4 5.1 Accretion onto Compact Objects and Thermonuclear 5 Runaways 6 The nuclear energy supply of a typical star like the Sun would be ∼1052 erg if all 7 the hydrogen could be incinerated into iron peak elements. Since the gravitational 8 binding energy is ∼1049 erg, it is evident that the nuclear energy content is more 9 than enough to blow up the Sun. However, stars are stable thanks to the fact that their 10 matter obeys the equation of state of a classical ideal gas that acts as a thermostat: if 11 some energy is released as a consequence of a thermal fluctuation, the gas expands, 12 the temperature drops and the instability is quenched.
    [Show full text]
  • Fundamentals of Stellar Evolution Theory: Understanding the HRD
    Fundamentals of Stellar Evolution Theory: Understanding the HRD By C E S A R E C H I O S I Department of Astronomy, University of Padua, Vicolo Osservatorio 5, 35122 Padua, Italy Published in: "Stellar Astrophysics for the Local Group: a First Step to the Universe" VIII Canary Islands Winter School Cambridge University Press 25 March, 1997 Abstract. We summarize the results of stellar evolution theory for single stars that have been obtained over the last two decades, and compare these results with the observations. We discuss in particular the effect of mass loss by stellar winds during the various evolutionary stages of stars that are affected by this phenomenon. In addition, we focus on the problem of mixing in stellar interiors calling attention on weak aspects of current formulations and presenting plausible alternatives. Finally, we survey some applications of stellar models to several areas of modern astrophysics. 1. Introduction The major goal of stellar evolution theory is the interpretation and reproduction of the Hertzsprung-Russell Diagram (HRD) of stars in different astrophysical environments: solar vicinity, star clusters of the Milky Way and nearby galaxies, fields in external galaxies. The HRD of star clusters, in virtue of the small spread in age and composition of the component stars, is the classical template to which stellar models are compared. If the sample of stars is properly chosen from the point of view of completeness, even the shortest lived evolutionary phases can be tested. The HRD of field stars, those in external galaxies in particular, contains much information on the past star formation history.
    [Show full text]
  • N-Body Techniques for Astrophysics: Lecture 4 – STARLAB
    Michela Mapelli N-body techniques for astrophysics: Lecture 4 – STARLAB PhD School in Astrophysics, University of Padova November 19-30, 2018 Michela Mapelli N-body techniques for astrophysics: Lecture 4 – STARLAB MOST IMPORTANT INGREDIENT: stay calm, breath, don't panic, don't kill yourself, don't kill your office mates PhD School in Astrophysics, University of Padova November 19-30, 2018 OUTLINE: 1* definition and structure of starlab http://www.sns.ias.edu/~starlab/overview/ http://www.sns.ias.edu/~starlab/structure/ 2* the dynamics: KIRA http://www.sns.ias.edu/~starlab/kira/ 3* the stellar evolution: SEBA 4* the outputs http://www.sns.ias.edu/~starlab/internals/ 5* compilation and installation 6* writing initial conditions http://www.sns.ias.edu/~starlab/examples/ 7* running kira 8* visualize outputs 1) definition and structure of starlab http://www.sns.ias.edu/~starlab/ * Software environment: multiple codes to generate, evolve and analyze a collisional system (such as a star cluster) They can be combined * Tools to Monte Carlo generate initial conditions (e.g. makeplummer) Evolve stars and binaries via population synthesis (e.g. SeBa) Evolve collisional dynamics (e.g. kira) Analyze outputs (e.g. xstarplot) * Collisional dynamics is evolved through HERMITE SCHEME with block time steps: example of code adopting tools described in lecture 3 1) definition and structure of starlab http://www.sns.ias.edu/~starlab/structure/ - CLASS: description of structure+ its functions - an OBJECT belongs to a class if it is DEFINED as member of the class → star a; EACH PARTICLE + root belongs to the node class (include/node.h) class node { static node* root; // Global address of the root node.
    [Show full text]
  • Ch 06-Phys--Star Death & H-R Di
    Ch. 6--Stars and H-R Diagrams Chapter 6 THE LIFE AND DEATH OF A STAR, and THE H-R DIAGRAM A.) Hertzsprung-Russell Diagrams: 1.) The Hertzsprung-Russell diagram plots luminosity versus temperature. Aside from its primary use (i.e., if you can determine a star's surface temperature, the H-R diagram will give you its luminosity), it is a useful educational tool in the sense that it highlights in the universe order out of what would otherwise appear to be disorder. Hertzsprung-Russell diagram 2.) The basics of the H-R diagram and things you Luminosity (solar units) blue giants need to understand about and supergiants the system follow. 10,000 red giants and supergiants a.) Temperature 100 on the H-R diagram 100 R ranges from 30,000 main sun sequence degrees Kelvin to 1 sun 3000 degrees Kelvin 10 Rsun (those temperatures are plotted backward- .01 R -odd, but that's the sun red dwarfs way some white dwarfs astronomers are--a .0001 .1 Rsun little bit of physicist humor). It plots from 30,000 10,000 6000 3000 O type to M type stars (we talked about spec- Surface Temperature (degrees K) tral classification earlier). OAGMBFK Spectral Class 171 b.) The luminosity scale is expressed in terms of luminosity of the sun. That is, on a H-R diagram, L = 1 is found in the middle of the plot and denotes the sun's position on the diagram. c.) Luminosity on the H-R diagram ranges from 10-4 to 104. Again, 1 denotes the luminosity of the sun.
    [Show full text]
  • NEUTRON STARS, GAMMA RAY BURSTS, and BLACK HOLES (Chap
    NEUTRON STARS, GAMMA RAY BURSTS, and BLACK HOLES (chap. 22 in textbook) We will review the classes of remnants that can be left behind a star at the end of its life. We have already discussed the remnants of low-mass stars: white dwarfs. The following diagram may clarify, and is a useful review of stellar evolution. So we will discuss “neturon stars” and “black holes,” but in between we discuss the still mysterious “gamma-ray bursts.” Neutron Stars For carbon detonation SN ⇒ probably no remnant. The entire white dwarf explodes and disperses. A large fraction of it is turned into iron, and in fact this is believed to be the main supply of iron everywhere in the universe. (Recall that the light curves could be interpreted as the radioactive decay of two elements: nickel and cobalt. These will become iron.) For core-collapse SN ⇒ remnant is a neutron-degenerate core ⇒ neutron star Densities ~ 1014 to 1015 g/cm3 ~ billion times denser than water Cubic centimeter contains ~ 100 million tons! Like a single enormous nucleus, all neutrons nearly touching. So they are very tiny for stars! (See graphic figure 22.1 in textbook.) Gravity at surface is huge. e.g. a human would weigh ~ million tons Rotation period ~ fraction of a second when first formed (conservation of angular momentum) Magnetic field is huge, amplified by the collapse (~1012 x Earth’s field strength). Most extreme of these are called “magnetars”—100s now known. Observed as pulsars (discovered 1967). This was one of the most important astronomical discoveries of all time, by graduate student Jocelyn Bell, although her advisor was given the Nobel Prize for the totally accidental or serendipitous discovery.
    [Show full text]
  • Stellar Evolution
    Stellar Evolution The Lives and Deaths of Stars Protostars. These objects radiate energy away in the form of light. That energy comes from gravity – released by contraction. On the Main Sequence, the contraction stops because gravity and internal pressure exactly balance each other. Nuclear reactions occur at exactly the right rate to blbalance grav ity. AstarsA stars’ mass determines its luminosity Nuclear reactions slowly convert H to He in the core. Newlyyypy formed stars are typically: ~91% Hydrogen (H) ~9% Helium (He) In the Sun’s core, the conversion of H to He w ill take ~10 billion years (its Main Sequence lifetime). Composition of a Sun-Sun-likelike star What happens when the core Hydrogen is used up? Nuclear reactions stop. Core pressure decreases. Core contracts and gets hotter - htiheating overl liaying l ayers. 4H → 1He burning moves to a hot “shell.” Post-Main Sequence evolution •4H → 1He reactions occur faster than before. •The star gets brighter (more luminous)! •The hot shell causes the outer layers to expand and cool! •The star moves o ff t he Ma in Sequence, …up the “Red Giant” branch. AiAscension up thditthe red giant branch takes ~100 million years What happens in the core as it continues to contract and getht ho tter? Remember why Hydrogen burning requires 107 K? (Protons repel each other.) Helium nuclei ((p2 protons) rep el each other even more… Helium begins to fuse into Carbon at >108 K. This reaction is called “triple alpha ”= 3He → C. The Helium Flash: Post-Main Sequence evolution 8 After the core reaches 10 K, Helium “ignites” to make Carbon.
    [Show full text]
  • Chapter 22 Neutron Stars and Black Holes Units of Chapter 22 22.1 Neutron Stars 22.2 Pulsars 22.3 Xxneutron-Star Binaries: X-Ray Bursters
    Chapter 22 Neutron Stars and Black Holes Units of Chapter 22 22.1 Neutron Stars 22.2 Pulsars 22.3 XXNeutron-Star Binaries: X-ray bursters [Look at the slides and the pictures in your book, but I won’t test you on this in detail, and we may skip altogether in class.] 22.4 Gamma-Ray Bursts 22.5 Black Holes 22.6 XXEinstein’s Theories of Relativity Special Relativity 22.7 Space Travel Near Black Holes 22.8 Observational Evidence for Black Holes Tests of General Relativity Gravity Waves: A New Window on the Universe Neutron Stars and Pulsars (sec. 22.1, 2 in textbook) 22.1 Neutron Stars According to models for stellar explosions: After a carbon detonation supernova (white dwarf in binary), little or nothing remains of the original star. After a core collapse supernova, part of the core may survive. It is very dense—as dense as an atomic nucleus—and is called a neutron star. [Recall that during core collapse the iron core (ashes of previous fusion reactions) is disintegrated into protons and neutrons, the protons combine with the surrounding electrons to make more neutrons, so the core becomes pure neutron matter. Because of this, core collapse can be halted if the core’s mass is between 1.4 (the Chandrasekhar limit) and about 3-4 solar masses, by neutron degeneracy.] What do you get if the core mass is less than 1.4 solar masses? Greater than 3-4 solar masses? 22.1 Neutron Stars Neutron stars, although they have 1–3 solar masses, are so dense that they are very small.
    [Show full text]
  • Review for Test #3 Nov 8
    Review for Test #3 Nov 8 Topics: • Stars (including our Sun) • The Interstellar medium • Stellar Evolution and Stellar Death • Neutron stars, pulsars and magnetars • Black Holes and General Relativity Methods • Conceptual Review and Practice Problems Chapters 11, 12, 13, 14 • Review lectures (on-line) and know answers to clicker questions • Try practice quizzes on-line • Bring: • Two Number 2 pencils and your UNM ID • Simple calculator (no electronic notes) Reminder: There are NO make-up tests for this class Test #3 Review How to take a multiple choice test 1) Before the Test: • Study hard (~2 hours/day Friday through Monday) • Get plenty of rest the night before 2) During the Test: • Draw simple sketches to help visualize problems • Solve numerical problems in the margin • Come up with your answer first, then look for it in the choices • If you can’t find the answer, try process of elimination • If you don’t know the answer, Go on to the next problem and come back to this one later • TAKE YOUR TIME, don’t hurry • If you don’t understand something, ask me. Test #3 Useful Equations parallactic distance d = 1/p where p is parallax in arcsec and d is in parsecs Schwarschild Radius: 2 GM R = c2 Lifetimes of stars (on the main sequence): L = 1010/M2 years where M is the Mass in solar masses and L is the Lifetime Equivalence of Matter and Energy: E = mc2 We can observe emission from molecules. Most abundant is H2 (don't confuse with H II), but its emission is extremely weak, so other "trace" molecules observed: CO (carbon monoxide) H2O (water vapor) HCN (hydrogen cyanide) NH3 (ammonia) etc.
    [Show full text]
  • Binary Progenitors of Supernovae
    J. Astrophys. Astr. (1984) 5, 389–402 Binary Progenitors of Supernovae Virginia Trimble Department of Physics, University of California, Irvine CA 92717, USA & Astronomy Program, University of Maryland, College Park MD 20742, USA (Invited article) Abstract. Supernovae of both Type I (hydrogen-poor) and Type II (hydrogen-rich) can be expected to occur among binary stars. Among massive stars ( ≳ 10 Μ), the companion makes it more difficult for the primary to develop an unstable core of ≳ 1.4 .M while still retaining the extended, hydrogen-rich envelope needed to make a typical Type II light curve. Among 1–10 M stars, on the other hand, a companion plays a vital role in currently popular models for Type I events, by transferring material to the primary after it has become a stable white dwarf, and so driving it to conditions where either core collapse or explosive nuclear burning will occur. Several difficulties (involving nucleosynthesis, numbers and lifetimes of progenitors, the mass-transfer mechanism, etc.) still exist in these models. Some of them are overcome by a recent, promising scenario in which the secondary also evolves to a degenerate configuration, and the two white dwarfs spiral together to produce a hydrogen-free explosion, long after single stars of the same initial masses have ceased to be capable of fireworks. Key words: Supernovae, progenitors—binary stars, evolution At least half the stars in the sky are double or multiple (Abt & Levy 1976, 1978); and one star in every few hundred must become a supernova in order to produce the event rate observed in massive spiral galaxies like the Milky Way (Tammann 1982); thus, one star out of 300 to 1000 ought to be a binary supernova progenitor.
    [Show full text]
  • N-Body Techniques for Astrophysics: Lecture 2 – DIRECT N-BODY Codes
    Michela Mapelli N-body techniques for astrophysics: Lecture 2 – DIRECT N-BODY codes PhD School in Astrophysics, University of Padova November 3-12, 2015 OUTLINE of LECTURE 2: BASIC NOTIONS: 1. WHAT? DEFINITION of DIRECT N-BODY 2. WHY/WHEN DO WE NEED DIRECT N-BODY CODES? 3. HOW ARE DIRECT N-BODY CODES IMPLEMENTED? 3.1 EXAMPLE OF INTEGRATOR: Hermite 4th order 3.2 EXAMPLE OF TIME STEP CHOICE: block time step 3.3 EXAMPLE of REGULARIZATION: KS 4. WHERE? HARDWARE: 4.1 GRAPE → 4.2 GPU EXTRA: 5. MPI? 6. coupling with more physics: stellar evolution 7. EXAMPLES 1. DEFINITION - ONLY force that matters is GRAVITY - Newton's EQUATIONS of MOTION: DIRECT N-Body codes calculate all N2 inter-particle forces → SCALE as O(N2) N-body codes that use different techniques (e.g. MULTIPOLE EXPANSION of FORCES for sufficiently distant particles) induce LARGER ERRORS on ENERGY BUT scale as O(N logN) – see NEXT LECTURE → Why do we use expensive direct N-body codes that scale as O(N2) if we can do similar things with O(N logN) codes? 2. WHY/WHEN do we use direct N-body codes? We DO NOT NEED direct N-body codes for COLLISIONLESS systems: astrophysical systems where the stellar density is low → gravitational interactions between stars are weak and rare, and do not affect the evolution of the system Interaction Rate scales as density / vel^3 2. WHY/WHEN do we use direct N-body codes? We DO NOT NEED direct N-body codes for COLLISIONLESS systems: astrophysical systems where the stellar density is low → gravitational interactions between stars are weak and rare, and do not affect the evolution of the system The collisionless systems evolve SMOOTHLY in time → they can be treated as a FLUID in the phase space e.g.
    [Show full text]
  • Chapter 21 Stellar Explosions Units of Chapter 21
    Chapter 21 Stellar Explosions Units of Chapter 21 21.1 XXLife after Death for White Dwarfs 21.2 The End of a High-Mass Star 21.3 Supernovae Supernova 1987A The Crab Nebula in Motion 21.4 The Formation of the Elements 21.5 The Cycle of Stellar Evolution 21.1 Life after Death for White Dwarfs A nova is a star that flares up very suddenly and then returns slowly to its former luminosity: 21.1 Life after Death for White Dwarfs A white dwarf that is part of a semidetached binary system can undergo repeated novas. 21.1 Life after Death for White Dwarfs Material falls onto the white dwarf from its main- sequence companion. When enough material has accreted, fusion can reignite very suddenly, burning off the new material. Material keeps being transferred to the white dwarf, and the process repeats, as illustrated here: 21.1 Life after Death for White Dwarfs This series of images shows ejected material expanding away from a star after a nova explosion: 21.2 The End of a High-Mass Star A high-mass star can continue to fuse elements in its core right up to iron (after which the fusion reaction is energetically unfavored). As heavier elements are fused, the reactions go faster and the stage is over more quickly. A 20-solar-mass star will burn carbon for about 10,000 years, but its iron core lasts less than a day. 21.2 The End of a High-Mass Star This graph shows the relative stability of nuclei. On the left, nuclei gain energy through fusion; on the right they gain it through fission: Iron is the crossing point; when the core has fused to iron, no more fusion can take place 21.2 The End of a High-Mass Star The inward pressure is enormous, due to the high mass of the star.
    [Show full text]