Statistical Mechanical Systems| Statistical Mechanical Systems |
Particles and Discrete Systems
> s.a. statistical mechanics; critical phenomena;
stochastic processes; thermodynamic systems.
* Fermions: In 2D and 3D they
are phenomenologically described by the Landau Fermi-liquid model, while 1D
collections of fermions are commonly described by the so-called Luttinger liquid
formalism, in which some effects are dramatically different (in particular, the
electron's spin and charge degrees of freedom can behave as separate entities).
@ General references: Zhao JPA(13)-a1305 [systems with inequivalent Lagrangians];
Ferialdi & Dürr PRA(15)-a1502,
JMP-a1508
[system + bath, effective non-Markovian description];
Laskar et al a1601
[atoms in a thermal state, classical and quantum dynamics];
Becattini et al PLB-a1901
[relativistic fluid, choice of quantum stress-energy tensor operator];
Ruelle a2003
[correlation functions and the problem of crystal states].
@ Particle statistics:
Linde in(81) [quarks and hadrons];
Lavenda & Dunning-Davies PLA(89);
Morato & Viola PLA(98) [covariant model with fluctuating particle number];
Ignatyev G&C(07)-a1012 [in a gravitational field];
> s.a. particle statistics [including quons].
@ Relativistic particles:
Tretyak & Nazarenko CondMP(00)ht;
Cleymans et al PRC(05)ht/04 [charged];
Alba et al a1202 [microcanonical ensemble];
Becattini et al AP(13)-a1303 [with spin].
@ Oscillators: Tomazelli & Cunha a1512 [accelerated oscillator and bath, master equation].
@ Many-body spin systems: Babadi et al PRX(15) [non-equilibrium, relaxation dynamics];
Białończyk et al a2103 [spin chains].
@ Fermions:
Mahanti & Jha JPA(06) [neutral, ground state];
Gutman et al PRB(10) [1D, out of equilibrium];
Faulkner et al a1003 [non-Fermi liquids];
Branchina et al PRE(10)-a1005 [and bosons, mapped to harmonic oscillators];
Shaginyan et al PRP(10) [strongly correlated, scaling behavior];
Swingle PRB(12)-a1007 [Fermi liquid, Rényi entropy and information content];
Virtanen & Thuneberg PRL(11)-a1010
+ news sn(11)jan [Fermi liquid, Landau force on a pendulum];
Rivasseau a1102 [and renormalization around the Fermi surface];
Pain et al PRE(11)-a1106 [recursion relations];
> s.a. gas; Luttinger Liquid;
renormalization group.
@ Bosons:
Shchesnovich PLA(06) [quantum instability];
Becattini & Ferroni EPJC(07)-a0704 [ideal relativistic quantum gas];
Morais & Procacci JSP(13)-a1301
[N interacting classical particles, Helmholtz free energy and virial coefficients];
> s.a. gas.
@ Solvable models: Campa et al PRP(09) [with long-range interactions];
issue JMP(09)#9;
Wu 09.
@ Complex systems:
Bertin 11;
Tsallis a1607-proc [non-ergodic, q-triplets].
@ Crystals: Wallace 03 [+ liquids];
Lutsko PhyA(06) [free energy];
Golovko PhyA(07) [and fluids, unified description].
@ PT-symmetric models: Meisinger & Ogilvie PTRS(13)-a1208
[introduction, classical and quantum].
@ And dynamical systems:
Ruelle & Sinai PhyA(86);
McCoy IJMPA(99)mp-conf [integrable models].
> Gravity- and astrophysics-related:
see cosmic rays; gas;
gravitating many-body systems [clustering]
> Other systems:
see condensed matter [glasses, liquids]; Disordered
Systems; gas and ideal gas [including deformed];
Many-Body System; tilings;
Transport.
Field Theories and Related Systems > s.a. conformal
theories; knots; states in quantum field theory.
@ Statistical field theory, quantum field theory: Grosse 88 [models];
Itzykson & Drouffe 89;
McCoy in(95)ht/94;
Casana et al PhyA(06) [electromagnetic field];
Mussardo 09;
Essler et al PRA(15)-a1411 [generalized Gibbs ensembles];
Becattini & Rindori a1903 [entropy current at local thermodynamic equilibrium].
@ Long-range interactions:
Baldovin & Orlandini PRL(06) [quasistationary states];
Rocha Filho et al JPA(09) [entropy, novel approach];
Bouchet et al PhyA(10) [rev, steady states];
Kalogeropoulos EPJB(14)-a1312 [thermodynamic limit].
@ Lattice systems: Di Francesco & Guitter PRP(05) [with geometrical constraints];
Contucci & Giardinà JMP(08)#12 [random structures];
Xu et al JSM(11)-a1010 [U(1) lattice gauge theory];
Rebenko RVMP(13) [cell gas models];
Lavis 15 [equilibrium];
Friedli & Velenik 17;
> s.a. cell complex; graphs;
networks; Polymers.
@ Lattice systems, area law for entropy: Masanes PRA(09) [for low-lying states];
de Beaudrap et al NJP(10)-a1009 [unfrustrated systems];
> s.a. entanglement entropy; lattice field theory.
@ Generally covariant systems: Josset et al a1503 [reparametrization-invariant systems as simpler models].
@ Other field theories: Montesinos & Rovelli CQG(01)gq/00 [generally covariant];
Lechner & Schlemmer a1503-proc [quantum fields on non-commutative spacetimes];
> s.a. yang-mills theories.
@ Fields + other systems: Milonni AJP(81)feb
[Einstein-Hopf model, electromagnetic field + dipole oscillators – particle/wave aspects].
@ Other applications:
Sasamoto et al JPA(01) [NP-complete problem];
Brightwell & Winkler m.CO/03-proc [combinatorics];
Huang 05 [protein folding].
@ Related topics: Lenard ARMA(75),
ARMA(75) [infinitely-many point particles];
Falcioni et al PhyA(07) [large weakly-interacting systems, entropy and chaos];
Brody et al JPA(08)-a0808 [quantum Hamiltonians];
Majd & Momeni IJMPE(11)-a1005 [matter with negative pressure];
Rocca et al PhyA(14) [phase-space curves];
> s.a. quantum statistical mechanics [including small systems];
states in statistical mechanics.
> Gravity-related: see cosmic strings;
early-universe cosmology; gravitational thermodynamics;
quantum field theory in curved spacetime.
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