Gas| Gas |
In General > s.a. Kinetic Theory;
matter; ideal gas.
* Idea: A highly compressible fluid,
in which the mean interparticle distance is much greater than their size.
@ General references: Rohrmann PhyA(05)cm/04 [statistical mechanics, new formalism];
Serre BAMS(10) [initial-boundary value problem].
@ Statistical mechanics:
Fernández et al RVMP(16)-a1508 [uniqueness and stability of equilibrium measure];
> s.a. fluctuations;
statistical mechanical systems.
@ Cold gases:
Seiringer a0908-conf [mathematical];
Yukalov LP(13)-a1304 [tutorial].
Boson Gas
> s.a. bose-einstein condensation; ideal gas;
renormalization theory; sound propagation;
superfluids.
@ General references:
Lenard JMP(66) [1D, impenetrable];
Chuu et al PRL(05) [sub-Poissonian number fluctuation];
Toms JPA(06) [statistical mechanics, confined geometry];
Erdős et al PRA(08)-a0806 [ground-state energy];
Giuliani & Seiringer JSP(09) [high density, ground-state energy];
Babichenko & Babichenko PLA(09) [in a random external field];
Escobedo et al AP(11)-a1008 [relaxation dynamics];
Shi PRA(10)-a0912 [two-species mixture];
Yin JSP(10) [upper bound on the free energy];
Cazalilla et al RMP(11) [1D bosons];
Petrova et al JPCS(11)-a1203 [Gaussian fluctuations];
Stamper-Kurn & Ueda RMP(13) [spinor Bose gases];
Price & Swendsen AJP(13)nov [numerical computation];
Aaen a1401 [dilute gas ground-state energy];
Akant et al a1602 [thermodynamic limit].
@ Interacting particles:
Deuar & Drummond JPA(06);
Martin IJTP(05) [repulsive potential, polymer representation];
Nattermann AJP(07)oct [weakly interacting, from heuristics and thermodynamics];
Hertzberg JCAP(16)-a1609 [classical vs quantum behavior];
Brietzke et al a1901
[dilute gas, lower bound on the ground-state energy];
> s.a. Virial Expansion.
@ Cold boson gas:
Deeney & O'Leary PLA(11),
EJP(11)
[behavior below the Bose-Einstein temperature];
Camacho & Castellanos MPLA(12) [gravitomagnetic effect and the detection of the Earth's rotation];
Yngvason a1402-proc [lectures].
@ Photons: Leff AJP(02)aug [in introductory physics];
Panković & Kapor a1103 [complete quantum thermodynamics];
Sokolsky & Gorlach PRA(14)-a1307 [in a finite box, thermodynamics and finite-size effects];
> s.a. Adiabatic Transformation;
generalized thermodynamics;
modified lorentz group.
Fermion Gas
> s.a. fermions; Virial Expansion.
* Cold: Quantum degenerate,
strongly interacting Fermi gases, were first produced in 2002; They can
be efficiently produced by evaporative cooling in an optical trap and are
now widely studied; They provide model systems for tabletop studies of
high-temperature superconductivity, neutron stars, and nuclear matter.
@ General references:
Elze et al JPG(80) [ideal, relativistic];
Jin pw(02)apr [of atoms];
Seiringer CMP(06)mp/04 [pressure];
Lieb et al mp/05-proc [dilute, ground-state energy];
Leboeuf & Roccia PRL(06) [2-component, level density];
Jakšić et al CMP(09) [locally interacting, central limit theorem];
Jo et al Sci(09)sep [ferromagnetism];
Martiyanov et al PRL(10) [2D fermi gas, observation];
Blume Phy(10) [behavior from properties of three trapped atoms];
Zheng & Bonasera PLB(11) [density and temperature from quantum fluctuations];
Frank et al PRL(11) [energy of the perturbed Fermi sea];
Ku et al Sci(12)jan
+ news mit(12)jan [gas of fermionic atoms turning superfluid];
Yefsah et al PRL(11) [2D Rb atoms];
Barletti JMI-a1509
[hydrodynamic equations for an electron gas];
> s.a. Hartree-Fock Equation.
@ Finite-size: Gebert MPAG(15)-a1406 [energy];
Su et al PLA(14) [isobaric expansion coefficient and isothermal compressibility];
Aydin & Sisman PLA(14) [discrete properties at nanoscale].
@ Cold: Thomas & Gehm AS(04)#3 [optically trapped];
Kowalski et al PRD(07)-a0712 [relativistic, T = 0];
Giorgini et al RMP(08);
Thomas PT(10)may;
Bedaque Phy(10) [parallel layers of ultracold fermions];
Kuhnle et al PRL(10) [universal relations for pair correlations];
Ayryan et al a1703;
Massignan Phys(19)mar
[transition from quantum Fermi liquid to Boltzmann gas];
> s.a. clocks; composite quantum systems;
Fermi-Einstein Condensation; matter phenomenology
in quantum gravity; superfluids.
And Gravity / Self-Gravitating Gas
@ Statistical mechanics: de Vega et al CSF(99)ap/98;
de Vega & Sánchez PLB(00),
NPB(02)ap/01,
NPB(02)ap/01;
de Vega & Siebert PRE(02)ap/01;
de Vega & Sánchez ap/05-conf,
CRS(06)ap;
Ramos-Caro et al PRD(12)-a1206 [kinetic theory, axial symmetry];
Santos et al AP(17)-a1709 [non-extensive kinetic theory for degenerate quantum gases];
Chavanis a1908 [quantum Fermi gas],
a1908 [classical Boltzmann gas].
@ Related topics: de Vega & Sánchez NPB(05)ap/03 [cluster expansion];
de Vega & Siebert NPB(05) [with dark energy];
Siebert PhD(05)ap;
Bhattacharya et al PRD(17)-a1702 [gas in an external gravitational field, entropy and surface scaling];
> s.a. gravitating matter.
Other Types
> s.a. atomic physics; composite
quantum systems; diffusion; Lattice Gas;
magnetism [ionized gas]; statistical mechanical systems.
* Nearly ideal gases: Their
equations of state can be written down as series expansion in some parameter
characterizing their deviation from ideal-gas behavior; For example, the
Mayer Series Expansion and the
Virial Expansion.
* Lorentz gas: A system
of fixed dispersing scatterers, with a single light particle moving among
these and making specular collisions on encounters with the scatterers;
It can be taken to model a completely ionized gas, in which ions are assumed
to be stationary and interactions between electrons are neglected.
* Granular gases:
The main characteristic of a granular gas, which makes it fundamentally
different from ordinary molecular gases, is its tendency to form clusters,
i.e., to spontaneously separate into dense and dilute regions.
@ Strongly interacting gases:
Chang & Pandharipande PRL(05) [ground state];
Stewart et al PRL(10)
+ Sheehy Phy(10) [confirmation of Tan relations];
Hu et al NJP(10) [dilute fermion gas].
@ Non-ideal gases: Coutant & Rajeev a0807 [quantum thermodynamics];
Mancarella et al NPB(14)-a1407 [energy-pressure relation and deviation from scale-invariant gas behavior];
Pulvirenti & Tsagkarogiannis JSP(15)-a1409 [finite-volume corrections and correlations];
> s.a. extended thermodynamics [dense gases].
@ Lorentz gas: van Beijeren & Muelken PRE(05)nlin/04 [d dimensions, open boundaries, thermodynamic formalism];
Angstmann Morriss PLA(12) [triangular periodic, diffusion coefficient];
Marklof a1404-proc [low-density limit];
in Dorlas et al a1902
[cluster expansion for correlation functions].
@ Granular gases:
Brilliantov & Pöschel 04 [r JPA(05)#47];
Van der Weele CP(08) [clustering];
Bisi et al JCP(12) [in a host medium, numerical].
@ (Lattice) dipole gas: Dimock JSP(09)-a0812 [infinite-volume limit];
Le a1305 [correlation functions].
@ Other types: Price & Laibe a1411-proc [dust-gas mixtures, non-equilibrium simulations].
> Related topics: see Chaplygin Gas;
condensed matter [liquids]; Dyson Gas [charged];
loops; resonance [Feshbach resonances in ultracold gases];
viscosity.
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