Statistical Mechanical Models

In General > s.a. statistical mechanics; critical phenomena; stochastic processes; thermodynamic systems; Transport.
@ Particle statistics: Linde in(81) [quarks and hadrons]; Lavenda & Dunning-Davies PLA(89); Morato & Viola PLA(98) [covariant model with fluctuating particle number]; Tretyak & Nazarenko CondMP(00)ht, Cleymans et al PRC(05)ht/04 [relativistic, charged]; > s.a. particle statistics [including quons].
@ Fermions: Mahanti & Jha JPA(06) [neutral, ground state]; > s.a. gas.
@ Bosons: Shchesnovich PLA(06) [quantum instability]; Becattini & Ferroni a0704 [ideal relativistic quantum gas]; > s.a. gas.
@ Crystals: Wallace 03 [+ liquids]; Lutsko PhyA(06) [free energy]; Golovko PhyA(07) [and fluids, unified description].
@ On lattices: Di Francesco & Guitter PRP(05) [with geometrical constraints]; > s.a. cell complex, graphs, networks, Polymers.
@ Statistical field theory, quantum field theory: Grosse 88 [models]; Itzykson & Drouffe 89; McCoy ht/94-in; Casana et al PhyA(06) [electromagnetic field].
@ Other field theories: Montesinos & Rovelli CQG(01)gq/00 [generally covariant]; > s.a. lattice field theory; yang-mills theories.
@ Fields + other systems: Milonni AJP(81) [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-in [combinatorics]; Huang 05 [protein folding].
@ Related topics: Lenard ARMA(75), ARMA(75) [infinitely many point particles]; Baldovin & Orlandini PRL(06) [long-range interacting systems, quasistationary states]; Falcioni et al PhyA(07) [large weakly interacting systems, entropy and chaos]; > s.a. conformal theories, gas, knots, Many-Body System, quantum statistical mechanics, states.
> Gravitation and cosmology: see cosmic strings; early universe; gas; gravitational thermodynamics; quantum field theory in curved spacetime.

(Tsallis) Non-Extensive Statistical Mechanics > s.a. generalized thermodynamics.
* Idea: Non-extensive thermo-statistics is based on a natural generalization of entropy for systems with long-range interactions, such as gravity and electromagnetism; 2005, There are growing theoretical indications of the need for this generalization for large cosmological structures, where the observed pseudo temperature is generally different from the true thermodynamic one.
@ General references: Tsallis JSP(88); Czachor & Naudts PRE(99)qp/98 [foundation]; Naudts RVMP(00)mp/99; Tsallis PhyA(04); Plastino PhyA(04); Ferri et al PhyA(05); García-Morales & Pellicer PhyA(06) [microcanonical foundation and fractal phase space]; Parvan PLA(06) [microcanonical foundation], PLA(06) [extensive thermodynamic limit]; Ou & Chen PhyA(06) [energy additivity and 0th law]; Campisi PLA(07) [limiting cases]; de Almeida PhyA(08)-a0708 [formal equivalence with extended Boltzmann-Gibbs statistics]; Ohara PLA(07) [geometric aspects]; Carati PhyA(08) [and fractal dimension of orbits].
@ In particle physics: Beck PhyA(00) [particle spectra], PhyA(02) [turbulence, and cosmology], PhyA(04) [cosmic rays]; Kohyama & Niegawa PTP(06)ht [quantum field theory, quarks and gluons].
@ Other applications: Sattin JPA(03) [granular gas]; Chamati et al PhyA(06) [black-body radiation]; Chakrabarti et al PhyA(08) [diatomic molecule, specific heat].
@ Generalizations: Beck & Cohen PhyA(03), Beck PhyA(04) [superstatistics].
> Related topics: see Coarse-Graining; entropy; stochastic processes; temperature.
> Applications: see cosmic rays; critical phenomena; early universe; galaxies.

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