Stellar Superfluids
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Plasma Physics and Pulsars
Plasma Physics and Pulsars On the evolution of compact o bjects and plasma physics in weak and strong gravitational and electromagnetic fields by Anouk Ehreiser supervised by Axel Jessner, Maria Massi and Li Kejia as part of an internship at the Max Planck Institute for Radioastronomy, Bonn March 2010 2 This composition was written as part of two internships at the Max Planck Institute for Radioastronomy in April 2009 at the Radiotelescope in Effelsberg and in February/March 2010 at the Institute in Bonn. I am very grateful for the support, expertise and patience of Axel Jessner, Maria Massi and Li Kejia, who supervised my internship and introduced me to the basic concepts and the current research in the field. Contents I. Life-cycle of stars 1. Formation and inner structure 2. Gravitational collapse and supernova 3. Star remnants II. Properties of Compact Objects 1. White Dwarfs 2. Neutron Stars 3. Black Holes 4. Hypothetical Quark Stars 5. Relativistic Effects III. Plasma Physics 1. Essentials 2. Single Particle Motion in a magnetic field 3. Interaction of plasma flows with magnetic fields – the aurora as an example IV. Pulsars 1. The Discovery of Pulsars 2. Basic Features of Pulsar Signals 3. Theoretical models for the Pulsar Magnetosphere and Emission Mechanism 4. Towards a Dynamical Model of Pulsar Electrodynamics References 3 Plasma Physics and Pulsars I. The life-cycle of stars 1. Formation and inner structure Stars are formed in molecular clouds in the interstellar medium, which consist mostly of molecular hydrogen (primordial elements made a few minutes after the beginning of the universe) and dust. -
Surface Structure of Quark Stars with Magnetic Fields
PRAMANA °c Indian Academy of Sciences Vol. 67, No. 5 | journal of November 2006 physics pp. 937{949 Surface structure of quark stars with magnetic ¯elds PRASHANTH JAIKUMAR Department of Physics and Astronomy, Ohio University, Athens, OH 45701, USA E-mail: [email protected] Abstract. We investigate the impact of magnetic ¯elds on the electron distribution of the electrosphere of quark stars. For moderately strong magnetic ¯elds of B » 1013 G, quantization e®ects are generally weak due to the large number density of electrons at surface, but can nevertheless a®ect the photon emission properties of quark stars. We outline the main observational characteristics of quark stars as determined by their surface emission, and briefly discuss their formation in explosive events termed as quark-novae, which may be connected to the r-process. Keywords. Quark stars; magnetic ¯elds; nucleosynthesis. PACS Nos 26.60.+c; 24.85.+p; 97.60.Jd 1. Introduction There is a renewed interest in the theory and observation of strange quark stars, which are believed to contain, or be entirely composed of, decon¯ned quark mat- ter [1]. An observational con¯rmation of their existence would be conclusive ev- idence of quark decon¯nement at large baryon densities, an expected feature of quantum chromodynamics (QCD). Furthermore, discovery of a stable bare quark star a±rms the Bodmer{Terazawa{Witten conjecture [2], that at high enough den- sity, strange quark matter, composed of up, down and strange quarks, is absolutely stable with respect to nuclear matter. This intriguing hypothesis is over three decades old, and bare quark stars are but one possible realization put forward in the intervening years. -
Collapsing Supra-Massive Magnetars: Frbs, the Repeating FRB121102 and Grbs
J. Astrophys. Astr. (2018) 39:14 © Indian Academy of Sciences https://doi.org/10.1007/s12036-017-9499-9 Review Collapsing supra-massive magnetars: FRBs, the repeating FRB121102 and GRBs PATRICK DAS GUPTA∗ and NIDHI SAINI Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India. ∗Corresponding author. E-mail: [email protected], [email protected] MS received 30 August 2017; accepted 3 October 2017; published online 10 February 2018 Abstract. Fast Radio Bursts (FRBs) last for ∼ few milli-seconds and, hence, are likely to arise from the gravitational collapse of supra-massive, spinning neutron stars after they lose the centrifugal support (Falcke & Rezzolla 2014). In this paper, we provide arguments to show that the repeating burst, FRB 121102, can also be modeled in the collapse framework provided the supra-massive object implodes either into a Kerr black hole surrounded by highly magnetized plasma or into a strange quark star. Since the estimated rates of FRBs and SN Ib/c are comparable, we put forward a common progenitor scenario for FRBs and long GRBs in which only those compact remnants entail prompt γ -emission whose kick velocities are almost aligned or anti-aligned with the stellar spin axes. In such a scenario, emission of detectable gravitational radiation and, possibly, of neutrinos are expected to occur during the SN Ib/c explosion as well as, later, at the time of magnetar implosion. Keywords. FRBs—FRB 121102—Kerr black holes—Blandford–Znajek process—strange stars—GRBs— pre-natal kicks. 1. Introduction 43% linear polarization and 3% circular polarization (Petroff et al. -
When Neutron Stars Melt, What’S Left Behind Is Spectacular Explosion
Space oddity implodes. The outer layers are cast off in a When neutron stars melt, what’s left behind is spectacular explosion. What’s left behind is truly strange. Anil Ananthaswamy reports a rapidly spinning neutron star, which as the name implies is made mainly of neutrons, with a crust of iron. Whirling up to 1000 times per second, a neutron star is constantly shedding magnetic fields. Over time, this loss of energy causes the star to spin slower and slower. As it spins down, the centrifugal forces that kept gravity at bay start weakening, allowing gravity to squish the star still further. In what is a blink of an eye in cosmic time, the neutrons can be converted to strange N 22 September last year, the website of fundamental building blocks of matter in quark matter, which is a soup of up, down and The Astronomer’s Telegram alerted ways that even machines like the Large strange quarks. In theory, this unusual change Oresearchers to a supernova explosion in Hadron Collider cannot. happens when the density inside the neutron a spiral galaxy about 84 million light years Astrophysicists can thank string theorist star starts increasing. New particles called away. There was just one problem. The same Edward Witten for quark stars. In 1984, he hyperons begin forming that contain at least object, SN 2009ip, had blown up in a similarly hypothesised that protons and neutrons one strange quark bound to others. spectacular fashion just weeks earlier. Such may not be the most stable forms of matter. However, the appearance of hyperons stars shouldn’t go supernova twice, let alone Both are made of two types of smaller marks the beginning of the end of the neutron in quick succession. -
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Probing the Nuclear Equation of State from the Existence of a 2.6 M Neutron Star: the GW190814 Puzzle
S S symmetry Article Probing the Nuclear Equation of State from the Existence of a ∼2.6 M Neutron Star: The GW190814 Puzzle Alkiviadis Kanakis-Pegios †,‡ , Polychronis S. Koliogiannis ∗,†,‡ and Charalampos C. Moustakidis †,‡ Department of Theoretical Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece; [email protected] (A.K.P.); [email protected] (C.C.M.) * Correspondence: [email protected] † Current address: Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece. ‡ These authors contributed equally to this work. Abstract: On 14 August 2019, the LIGO/Virgo collaboration observed a compact object with mass +0.08 2.59 0.09 M , as a component of a system where the main companion was a black hole with mass ∼ − 23 M . A scientific debate initiated concerning the identification of the low mass component, as ∼ it falls into the neutron star–black hole mass gap. The understanding of the nature of GW190814 event will offer rich information concerning open issues, the speed of sound and the possible phase transition into other degrees of freedom. In the present work, we made an effort to probe the nuclear equation of state along with the GW190814 event. Firstly, we examine possible constraints on the nuclear equation of state inferred from the consideration that the low mass companion is a slow or rapidly rotating neutron star. In this case, the role of the upper bounds on the speed of sound is revealed, in connection with the dense nuclear matter properties. Secondly, we systematically study the tidal deformability of a possible high mass candidate existing as an individual star or as a component one in a binary neutron star system. -
Variable Star Classification and Light Curves Manual
Variable Star Classification and Light Curves An AAVSO course for the Carolyn Hurless Online Institute for Continuing Education in Astronomy (CHOICE) This is copyrighted material meant only for official enrollees in this online course. Do not share this document with others. Please do not quote from it without prior permission from the AAVSO. Table of Contents Course Description and Requirements for Completion Chapter One- 1. Introduction . What are variable stars? . The first known variable stars 2. Variable Star Names . Constellation names . Greek letters (Bayer letters) . GCVS naming scheme . Other naming conventions . Naming variable star types 3. The Main Types of variability Extrinsic . Eclipsing . Rotating . Microlensing Intrinsic . Pulsating . Eruptive . Cataclysmic . X-Ray 4. The Variability Tree Chapter Two- 1. Rotating Variables . The Sun . BY Dra stars . RS CVn stars . Rotating ellipsoidal variables 2. Eclipsing Variables . EA . EB . EW . EP . Roche Lobes 1 Chapter Three- 1. Pulsating Variables . Classical Cepheids . Type II Cepheids . RV Tau stars . Delta Sct stars . RR Lyr stars . Miras . Semi-regular stars 2. Eruptive Variables . Young Stellar Objects . T Tau stars . FUOrs . EXOrs . UXOrs . UV Cet stars . Gamma Cas stars . S Dor stars . R CrB stars Chapter Four- 1. Cataclysmic Variables . Dwarf Novae . Novae . Recurrent Novae . Magnetic CVs . Symbiotic Variables . Supernovae 2. Other Variables . Gamma-Ray Bursters . Active Galactic Nuclei 2 Course Description and Requirements for Completion This course is an overview of the types of variable stars most commonly observed by AAVSO observers. We discuss the physical processes behind what makes each type variable and how this is demonstrated in their light curves. Variable star names and nomenclature are placed in a historical context to aid in understanding today’s classification scheme. -
Lecture 24. Degenerate Fermi Gas (Ch
Lecture 24. Degenerate Fermi Gas (Ch. 7) We will consider the gas of fermions in the degenerate regime, where the density n exceeds by far the quantum density nQ, or, in terms of energies, where the Fermi energy exceeds by far the temperature. We have seen that for such a gas μ is positive, and we’ll confine our attention to the limit in which μ is close to its T=0 value, the Fermi energy EF. ~ kBT μ/EF 1 1 kBT/EF occupancy T=0 (with respect to E ) F The most important degenerate Fermi gas is 1 the electron gas in metals and in white dwarf nε()(),, T= f ε T = stars. Another case is the neutron star, whose ε⎛ − μ⎞ exp⎜ ⎟ +1 density is so high that the neutron gas is ⎝kB T⎠ degenerate. Degenerate Fermi Gas in Metals empty states ε We consider the mobile electrons in the conduction EF conduction band which can participate in the charge transport. The band energy is measured from the bottom of the conduction 0 band. When the metal atoms are brought together, valence their outer electrons break away and can move freely band through the solid. In good metals with the concentration ~ 1 electron/ion, the density of electrons in the electron states electron states conduction band n ~ 1 electron per (0.2 nm)3 ~ 1029 in an isolated in metal electrons/m3 . atom The electrons are prevented from escaping from the metal by the net Coulomb attraction to the positive ions; the energy required for an electron to escape (the work function) is typically a few eV. -
Mass-Radius Relation of Compact Stars with Quark Matter INT Summer Program "QCD and Dense Matter: from Lattices to Stars", June 2004, INT, Seattle, Washington, USA
Mass-Radius Relation of Compact Stars with Quark Matter INT Summer Program "QCD and Dense Matter: From Lattices to Stars", June 2004, INT, Seattle, Washington, USA JurgenÄ Schaffner{Bielich Institut furÄ Theoretische Physik/Astrophysik J. W. Goethe UniversitÄat Frankfurt am Main { p.1 Phase Diagram of QCD T early universe RHIC Tc Quark-Gluon Plasma Hadrons Color Superconductivity nuclei neutron stars µ mN / 3 c µ ² Early universe at zero density and high temperature ² neutron star matter at zero temperature and high density ² lattice gauge simulations at ¹ = 0: phase transition at Tc ¼ 170 MeV { p.2 Neutron Stars ² produced in supernova explosions (type II) ² compact, massive objects: radius ¼ 10 km, mass 1 ¡ 2M¯ 14 3 ² extreme densities, several times nuclear density: n À n0 = 3 ¢ 10 g/cm { p.3 Masses of Pulsars (Thorsett and Chakrabarty (1999)) ² more than 1200 pulsars known ² best determined mass: M = (1:4411 § 0:00035)M¯ (Hulse-Taylor-Pulsar) ² shortest rotation period: 1.557 ms (PSR 1937+21) { p.4 ² n = 104 ¡ 4 ¢ 1011 g/cm3: outer crust or envelope (free e¡, lattice of nuclei) ² n = 4 ¢ 1011 ¡ 1014 g/cm3: Inner crust (lattice of nuclei with free neutrons and e¡) Structure of Neutron Stars — the Crust (Dany Page) ² n · 104 g/cm3: atmosphere (atoms) { p.5 ² n = 4 ¢ 1011 ¡ 1014 g/cm3: Inner crust (lattice of nuclei with free neutrons and e¡) Structure of Neutron Stars — the Crust (Dany Page) ² n · 104 g/cm3: atmosphere (atoms) ² n = 104 ¡ 4 ¢ 1011 g/cm3: outer crust or envelope (free e¡, lattice of nuclei) { p.5 Structure of Neutron -
Condensation of Bosons with Several Degrees of Freedom Condensación De Bosones Con Varios Grados De Libertad
Condensation of bosons with several degrees of freedom Condensación de bosones con varios grados de libertad Trabajo presentado por Rafael Delgado López1 para optar al título de Máster en Física Fundamental bajo la dirección del Dr. Pedro Bargueño de Retes2 y del Prof. Fernando Sols Lucia3 Universidad Complutense de Madrid Junio de 2013 Calificación obtenida: 10 (MH) 1 [email protected], Dep. Física Teórica I, Universidad Complutense de Madrid 2 [email protected], Dep. Física de Materiales, Universidad Complutense de Madrid 3 [email protected], Dep. Física de Materiales, Universidad Complutense de Madrid Abstract The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited as a first step to tackle the more complex case of a molecular condensate, where several degrees of freedom have to be taken into account. In the charged bose gas, the conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau level, which plays an essential role in the case of large magnetic fields. In that limit, signatures of two diffuse phase transitions (crossovers) appear in the specific heat. In particular, at temperatures lower than the cyclotron frequency, the system behaves as an effectively one-dimensional free boson system, with the specific heat equal to (1/2) NkB and a gradual condensation at lower temperatures. In the molecular case, which is currently in progress, we have studied the condensation of rotational levels in a two–dimensional trap within the Bogoliubov approximation, showing that multi–step condensation also occurs. -
Cygnus X-3 and the Case for Simultaneous Multifrequency
by France Anne-Dominic Cordova lthough the visible radiation of Cygnus A X-3 is absorbed in a dusty spiral arm of our gal- axy, its radiation in other spectral regions is observed to be extraordinary. In a recent effort to better understand the causes of that radiation, a group of astrophysicists, including the author, carried 39 Cygnus X-3 out an unprecedented experiment. For two days in October 1985 they directed toward the source a variety of instru- ments, located in the United States, Europe, and space, hoping to observe, for the first time simultaneously, its emissions 9 18 Gamma Rays at frequencies ranging from 10 to 10 Radiation hertz. The battery of detectors included a very-long-baseline interferometer consist- ing of six radio telescopes scattered across the United States and Europe; the Na- tional Radio Astronomy Observatory’s Very Large Array in New Mexico; Caltech’s millimeter-wavelength inter- ferometer at the Owens Valley Radio Ob- servatory in California; NASA’s 3-meter infrared telescope on Mauna Kea in Ha- waii; and the x-ray monitor aboard the European Space Agency’s EXOSAT, a sat- ellite in a highly elliptical, nearly polar orbit, whose apogee is halfway between the earth and the moon. In addition, gamma- Wavelength (m) ray detectors on Mount Hopkins in Ari- zona, on the rim of Haleakala Crater in Fig. 1. The energy flux at the earth due to electromagnetic radiation from Cygnus X-3 as a Hawaii, and near Leeds, England, covered function of the frequency and, equivalently, energy and wavelength of the radiation. -
Exploring Fundamental Physics with Neutron Stars
EXPLORING FUNDAMENTAL PHYSICS WITH NEUTRON STARS PIERRE M. PIZZOCHERO Dipartimento di Fisica, Università degli Studi di Milano, and Istituto Nazionale di Fisica Nucleare, sezione di Milano, Via Celoria 16, 20133 Milano, Italy ABSTRACT In this lecture, we give a First introduction to neutron stars, based on Fundamental physical principles. AFter outlining their outstanding macroscopic properties, as obtained From observations, we inFer the extreme conditions oF matter in their interiors. We then describe two crucial physical phenomena which characterize compact stars, namely the gravitational stability of strongly degenerate matter and the neutronization of nuclear matter with increasing density, and explain how the Formation and properties of neutron stars are a direct consequence oF the extreme compression of matter under strong gravity. Finally, we describe how multi-wavelength observations of diFFerent external macroscopic Features (e.g. maximum mass, surface temperature, pulsar glitches) can give invaluable inFormation about the exotic internal microscopic scenario: super-dense, isospin-asymmetric, superFluid, bulk hadronic matter (probably deconFined in the most central regions) which can be Found nowhere else in the Universe. Indeed, neutrons stars represent a unique probe to study the properties of the low-temperature, high-density sector of the QCD phase diagram. Moreover, binary systems of compact stars allow to make extremely precise measurements of the properties of curved space-time in the strong Field regime, as well as being efFicient sources oF gravitational waves. I – INTRODUCTION Neutron stars are probably the most exotic objects in the Universe: indeed, they present extreme and quite unique properties both in their macrophysics, controlled by the long-range gravitational and electromagnetic interactions, and in their microphysics, controlled by the short-range weak and strong nuclear interactions.