States of Matter Chapter (Sections 1-3)
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												Chapter 3 Equations of State
Chapter 3 Equations of State The simplest way to derive the Helmholtz function of a fluid is to directly integrate the equation of state with respect to volume (Sadus, 1992a, 1994). An equation of state can be applied to either vapour-liquid or supercritical phenomena without any conceptual difficulties. Therefore, in addition to liquid-liquid and vapour -liquid properties, it is also possible to determine transitions between these phenomena from the same inputs. All of the physical properties of the fluid except ideal gas are also simultaneously calculated. Many equations of state have been proposed in the literature with either an empirical, semi- empirical or theoretical basis. Comprehensive reviews can be found in the works of Martin (1979), Gubbins (1983), Anderko (1990), Sandler (1994), Economou and Donohue (1996), Wei and Sadus (2000) and Sengers et al. (2000). The van der Waals equation of state (1873) was the first equation to predict vapour-liquid coexistence. Later, the Redlich-Kwong equation of state (Redlich and Kwong, 1949) improved the accuracy of the van der Waals equation by proposing a temperature dependence for the attractive term. Soave (1972) and Peng and Robinson (1976) proposed additional modifications of the Redlich-Kwong equation to more accurately predict the vapour pressure, liquid density, and equilibria ratios. Guggenheim (1965) and Carnahan and Starling (1969) modified the repulsive term of van der Waals equation of state and obtained more accurate expressions for hard sphere systems. Christoforakos and Franck (1986) modified both the attractive and repulsive terms of van der Waals equation of state. Boublik (1981) extended the Carnahan-Starling hard sphere term to obtain an accurate equation for hard convex geometries. - 
												
												Sounds of a Supersolid A
NEWS & VIEWS RESEARCH hypothesis came from extensive population humans, implying possible mosquito exposure long-distance spread of insecticide-resistant time-series analysis from that earlier study5, to malaria parasites and the potential to spread mosquitoes, worsening an already dire situ- which showed beyond reasonable doubt that infection over great distances. ation, given the current spread of insecticide a mosquito vector species called Anopheles However, the authors failed to detect resistance in mosquito populations. This would coluzzii persists locally in the dry season in parasite infections in their aerially sampled be a matter of great concern because insecticides as-yet-undiscovered places. However, the malaria vectors, a result that they assert is to be are the best means of malaria control currently data were not consistent with this outcome for expected given the small sample size and the low available8. However, long-distance migration other malaria vectors in the study area — the parasite-infection rates typical of populations of could facilitate the desirable spread of mosqui- species Anopheles gambiae and Anopheles ara- malaria vectors. A problem with this argument toes for gene-based methods of malaria-vector biensis — leaving wind-powered long-distance is that the typical infection rates they mention control. One thing is certain, Huestis and col- migration as the only remaining possibility to are based on one specific mosquito body part leagues have permanently transformed our explain the data5. (salivary glands), rather than the unknown but understanding of African malaria vectors and Both modelling6 and genetic studies7 undoubtedly much higher infection rates that what it will take to conquer malaria. - 
												
												Current Status of Equation of State in Nuclear Matter and Neutron Stars
Open Issues in Understanding Core Collapse Supernovae June 22-24, 2004 Current Status of Equation of State in Nuclear Matter and Neutron Stars J.R.Stone1,2, J.C. Miller1,3 and W.G.Newton1 1 Oxford University, Oxford, UK 2Physics Division, ORNL, Oak Ridge, TN 3 SISSA, Trieste, Italy Outline 1. General properties of EOS in nuclear matter 2. Classification according to models of N-N interaction 3. Examples of EOS – sensitivity to the choice of N-N interaction 4. Consequences for supernova simulations 5. Constraints on EOS 6. High density nuclear matter (HDNM) 7. New developments Equation of State is derived from a known dependence of energy per particle of a system on particle number density: EA/(==En) or F/AF(n) I. E ( or Boltzman free energy F = E-TS for system at finite temperature) is constructed in a form of effective energy functional (Hamiltonian, Lagrangian, DFT/EFT functional or an empirical form) II. An equilibrium state of matter is found at each density n by minimization of E (n) or F (n) III. All other related quantities like e.g. pressure P, incompressibility K or entropy s are calculated as derivatives of E or F at equilibrium: 2 ∂E ()n ∂F ()n Pn()= n sn()=− | ∂n ∂T nY, p ∂∂P()nnEE() ∂2 ()n Kn()==9 18n +9n2 ∂∂nn∂n2 IV. Use as input for model simulations (Very) schematic sequence of equilibrium phases of nuclear matter as a function of density: <~2x10-4fm-3 ~2x10-4 fm-3 ~0.06 fm-3 Nuclei in Nuclei in Neutron electron gas + ‘Pasta phase’ Electron gas ~0.1 fm-3 0.3-0.5 fm-3 >0.5 fm-3 Nucleons + n,p,e,µ heavy baryons Quarks ??? - 
												
												Liquid-Vapor Equilibrium in a Binary System
Liquid-Vapor Equilibria in Binary Systems1 Purpose The purpose of this experiment is to study a binary liquid-vapor equilibrium of chloroform and acetone. Measurements of liquid and vapor compositions will be made by refractometry. The data will be treated according to equilibrium thermodynamic considerations, which are developed in the theory section. Theory Consider a liquid-gas equilibrium involving more than one species. By definition, an ideal solution is one in which the vapor pressure of a particular component is proportional to the mole fraction of that component in the liquid phase over the entire range of mole fractions. Note that no distinction is made between solute and solvent. The proportionality constant is the vapor pressure of the pure material. Empirically it has been found that in very dilute solutions the vapor pressure of solvent (major component) is proportional to the mole fraction X of the solvent. The proportionality constant is the vapor pressure, po, of the pure solvent. This rule is called Raoult's law: o (1) psolvent = p solvent Xsolvent for Xsolvent = 1 For a truly ideal solution, this law should apply over the entire range of compositions. However, as Xsolvent decreases, a point will generally be reached where the vapor pressure no longer follows the ideal relationship. Similarly, if we consider the solute in an ideal solution, then Eq.(1) should be valid. Experimentally, it is generally found that for dilute real solutions the following relationship is obeyed: psolute=K Xsolute for Xsolute<< 1 (2) where K is a constant but not equal to the vapor pressure of pure solute. - 
												
												Bose-Einstein Condensation
Physics monitor The oldest galaxy, as seen by the European Southern Observatory's NTT telescope. The left picture shows the target quasar, with right, the quasar image removed to make the galaxy, situated just to the north-west of the quasar, easier to see. superfluidity. Condensates could also play an important role in particle physics and cosmology, explaining, for example, why the pion as a bound quark-antiquark state is so much lighter than the three-quark proton. A hunt to create a pure Bose- Einstein condensate has been underway for over 15 years, with different groups employing different techniques to cool their bosons. The two recent successes have been achieved by incorporating several techniques. In both cases, the bosons have been atoms. In Colo just 2 arcsec away from the quasar. led to Einstein's prediction. Unlike rado, rubidium-87 was used, whilst at This tiny angular separation corre fermions, which obey the Pauli Rice University, the condensate was sponds to a distance 'on the ground' exclusion principle of only one formed from lithium-7. Both teams of 40,000 light-years. resident particle per allowed quantum started with the technique of laser There are strong indications that state, any number of bosons can cooling. This works by pointing finely this galaxy contains all the necessary pack into an identical quantum state. tuned laser beams at the sample nuclei to produce the observed This led Einstein to suggest that such that any atoms moving towards absorption effects. Only hydrogen under certain conditions, bosons a beam are struck by a photon, which and helium were produced in the Big would lose their individual identities, slows them down. - 
												
												Solid State Insurrection
INTRODUCTION WHAT IS SOLID STATE PHYSICS AND WHY DOES IT MATTER? Solid state physics sounds kind of funny. —GREGORY H. WANNIER, 1943 The Superconducting Super Collider (SSC), the largest scientific instrument ever proposed, was also one of the most controversial. The enormous parti- cle accelerator’s beam pipe would have encircled hundreds of square miles of Ellis County, Texas. It was designed to produce evidence for the last few elements of the standard model of particle physics, and many hoped it might generate unexpected discoveries that would lead beyond. Advocates billed the SSC as the logical apotheosis of physical research. Opponents raised their eyebrows at the facility’s astronomical price tag, which stood at $11.8 billion by the time Congress yanked its funding in 1993. Skeptics also objected to the reductionist rhetoric used to justify the project—which suggested that knowledge of the very small was the only knowledge that could be truly fun- damental—and grew exasperated when SSC boosters ascribed technological developments and medical advances to high energy physics that they thought more justly credited to other areas of science. To the chagrin of the SSC’s supporters, many such skeptics were fellow physicists. The most prominent among them was Philip W. Anderson, a No- bel Prize–winning theorist. Anderson had risen to prominence in the new field known as solid state physics after he joined the Bell Telephone Labora- tories in 1949, the ink on his Harvard University PhD still damp. In a House of Representatives committee hearing in July 1991, Anderson, by then at © 2018 University of Pittsburgh Press. - 
												
												A Modern View of the Equation of State in Nuclear and Neutron Star Matter
S S symmetry Article A Modern View of the Equation of State in Nuclear and Neutron Star Matter G. Fiorella Burgio * , Hans-Josef Schulze , Isaac Vidaña and Jin-Biao Wei INFN Sezione di Catania, Dipartimento di Fisica e Astronomia, Università di Catania, Via Santa Sofia 64, 95123 Catania, Italy; [email protected] (H.-J.S.); [email protected] (I.V.); [email protected] (J.-B.W.) * Correspondence: fi[email protected] Abstract: Background: We analyze several constraints on the nuclear equation of state (EOS) cur- rently available from neutron star (NS) observations and laboratory experiments and study the existence of possible correlations among properties of nuclear matter at saturation density with NS observables. Methods: We use a set of different models that include several phenomenological EOSs based on Skyrme and relativistic mean field models as well as microscopic calculations based on different many-body approaches, i.e., the (Dirac–)Brueckner–Hartree–Fock theories, Quantum Monte Carlo techniques, and the variational method. Results: We find that almost all the models considered are compatible with the laboratory constraints of the nuclear matter properties as well as with the +0.10 largest NS mass observed up to now, 2.14−0.09 M for the object PSR J0740+6620, and with the upper limit of the maximum mass of about 2.3–2.5 M deduced from the analysis of the GW170817 NS merger event. Conclusion: Our study shows that whereas no correlation exists between the tidal deformability and the value of the nuclear symmetry energy at saturation for any value of the NS mass, very weak correlations seem to exist with the derivative of the nuclear symmetry energy and with the nuclear incompressibility. - 
												
												Supersolid State of Matter Nikolai Prokof 'Ev University of Massachusetts - Amherst, [email protected]
University of Massachusetts Amherst ScholarWorks@UMass Amherst Physics Department Faculty Publication Series Physics 2005 Supersolid State of Matter Nikolai Prokof 'ev University of Massachusetts - Amherst, [email protected] Boris Svistunov University of Massachusetts - Amherst, [email protected] Follow this and additional works at: https://scholarworks.umass.edu/physics_faculty_pubs Part of the Physical Sciences and Mathematics Commons Recommended Citation Prokof'ev, Nikolai and Svistunov, Boris, "Supersolid State of Matter" (2005). Physics Review Letters. 1175. Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1175 This Article is brought to you for free and open access by the Physics at ScholarWorks@UMass Amherst. It has been accepted for inclusion in Physics Department Faculty Publication Series by an authorized administrator of ScholarWorks@UMass Amherst. For more information, please contact [email protected]. On the Supersolid State of Matter Nikolay Prokof’ev and Boris Svistunov Department of Physics, University of Massachusetts, Amherst, MA 01003 and Russian Research Center “Kurchatov Institute”, 123182 Moscow We prove that the necessary condition for a solid to be also a superfluid is to have zero-point vacancies, or interstitial atoms, or both, as an integral part of the ground state. As a consequence, superfluidity is not possible in commensurate solids which break continuous translation symmetry. We discuss recent experiment by Kim and Chan [Nature, 427, 225 (2004)] in the context of this theorem, question its bulk supersolid interpretation, and offer an alternative explanation in terms of superfluid helium interfaces. PACS numbers: 67.40.-w, 67.80.-s, 05.30.-d Recent discovery by Kim and Chan [1, 2] that solid 4He theorem. - 
												
												Understanding Vapor Diffusion and Condensation
uilding enclosure assemblies temperature is the temperature at which the moisture content, age, temperature, and serve a variety of functions RH of the air would be 100%. This is also other factors. Vapor resistance is commonly to deliver long-lasting sepa- the temperature at which condensation will expressed using the inverse term “vapor ration of the interior building begin to occur. permeance,” which is the relative ease of environment from the exteri- The direction of vapor diffusion flow vapor diffusion through a material. or, one of which is the control through an assembly is always from the Vapor-retarding materials are often Bof vapor diffusion. Resistance to vapor diffu- high vapor pressure side to the low vapor grouped into classes (Classes I, II, III) sion is part of the environmental separation; pressure side, which is often also from the depending on their vapor permeance values. however, vapor diffusion control is often warm side to the cold side, because warm Class I (<0.1 US perm) and Class II (0.1 to primarily provided to avoid potentially dam- air can hold more water than cold air (see 1.0 US perm) vapor retarder materials are aging moisture accumulation within build- Figure 2). Importantly, this means it is not considered impermeable to near-imperme- ing enclosure assemblies. While resistance always from the higher RH side to the lower able, respectively, and are known within to vapor diffusion in wall assemblies has RH side. the industry as “vapor barriers.” Some long been understood, ever-increasing ener- The direction of the vapor drive has materials that fall into this category include gy code requirements have led to increased important ramifications with respect to the polyethylene sheet, sheet metal, aluminum insulation levels, which in turn have altered placement of materials within an assembly, foil, some foam plastic insulations (depend- the way assemblies perform with respect to and what works in one climate may not work ing on thickness), and self-adhered (peel- vapor diffusion and condensation control. - 
												
												Sub-Slab Vapor Sampling Procedures
Sub-Slab Vapor Sampling Procedures RR-986 July 2014 Table of Contents I. Introduction .......................................................................................................................... 2 II. Sub-Slab Sample Ports .......................................................................................................... 2 A. Distribution of sub-slab probes ...................................................................................... 3 B. Permanent vs. temporary sub-slab probes .................................................................... 4 C. Tubing used in the sample train ..................................................................................... 4 D. Abandonment of sub-slab probes .................................................................................. 4 E. Sub-slab vapor samples collected from a sump pit ....................................................... 4 III. Leak Testing and Collecting a Sub-slab Sample .................................................................... 5 A. Shut-in test ..................................................................................................................... 6 B. Helium shroud ................................................................................................................ 7 C. Other leak detection methods for probe seals .............................................................. 7 D. Sample collection after leak testing ............................................................................... 8 - 
												
												Chapter 9 Phases of Nuclear Matter
Nuclear Science—A Guide to the Nuclear Science Wall Chart ©2018 Contemporary Physics Education Project (CPEP) Chapter 9 Phases of Nuclear Matter As we know, water (H2O) can exist as ice, liquid, or steam. At atmospheric pressure and at temperatures below the 0˚C freezing point, water takes the form of ice. Between 0˚C and 100˚C at atmospheric pressure, water is a liquid. Above the boiling point of 100˚C at atmospheric pressure, water becomes the gas that we call steam. We also know that we can raise the temperature of water by heating it— that is to say by adding energy. However, when water reaches its melting or boiling points, additional heating does not immediately lead to a temperature increase. Instead, we must overcome water's latent heats of fusion (80 kcal/kg, at the melting point) or vaporization (540 kcal/kg, at the boiling point). During the boiling process, as we add more heat more of the liquid water turns into steam. Even though heat is being added, the temperature stays at 100˚C. As long as some liquid water remains, the gas and liquid phases coexist at 100˚C. The temperature cannot rise until all of the liquid is converted to steam. This type of transition between two phases with latent heat and phase coexistence is called a “first order phase transition.” As we raise the pressure, the boiling temperature of water increases until it reaches a critical point at a pressure 218 times atmospheric pressure (22.1 Mpa) and a temperature of 374˚C is reached. - 
												
												Condensation Information October 2016
Sun Windows General Information Section 1 Condensation Information October 2016 Condensation Every year, with the arrival of cold, winter weather, questions about condensation arise. The moisture that forms on window glass, obscuring the view, freezing or even collecting in puddles on the window sill, can be irritating and possibly even damaging. The first reaction may be to blame the windows for this problem, yet windows do not cause condensation. Excessive water vapor in the air, the temperature of the air and air circulation or movement are the three factors involved in the formation of condensation. Today’s modern homes are built very “air-tight” for energy efficiency. They provide better insulating properties and a cleaner, more comfortable living environment than older homes. These improvements in home design and construction have created some new problems as well. The more “air-tight” a home is the less fresh air that home circulates. A typical central air and heat system only circulates the air already within the home. This air becomes saturated with by-products of normal living. One of these is water vapor. Excessive water vapor in the home will most likely show up as condensation on windows. Condensation on your windows is a warning sign that the relative humidity (the measure of water vapor in the air) in your home is too high. You may see it develop on your windows, but it may be damaging the structural components and finishes through-out your home. It can also be damaging to your health. The following review should answer many questions concerning condensation and provide good information that will help in controlling condensation.