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Foundations

General

Castiglione P, Falcioni M, Lesne A, Vulpiani A, Chaos and Coarse Graining in Statistical Mechanics (CUP, 2008)

Gaspard P, Hamiltonian dynamics, nanosystems, and nonequilibrium statistical mechanics, PA 369, 201 (2006)

Casas-Vazquez J, Jou D, Temperature in non-equilibrium states: a review of open problems and current proposals, RPP 66, 1937 (2003)

Рюэль Д, Термодинамический формализм (РХД, 2002)

Lebowitz J L, Statistical mechanics: A selective review of two central issues, RMP 71, S346 (1999)

Ruelle D, Statistical mechanics: Rigorous results (WSPC, 1999)

Sinai Ya G, Mathematical problems of statistical mechanics (WSPC, 1991)

Боголюбов Н Н, Боголюбов Н Н, Введение в квантовую статистическую механику (Наука, 1984)

Рюэль Д, Статистическая механика. Строгие результаты (Мир, 1971)

Крылов Н С, Работы по обоснованию статистической физики (Наука, 1950)


Hartmann M, Mahler G, Hess O, Fundamentals of nano-thermodynamics, cond-mat/0408133

Contucci P, Giardina C, Thermodynamic limit for finite dimensional classical and quantum disordered systems, cond-mat/0401211

Dudnikova T V, Komech A I, Spohn H, On the convergence to statistical equilibrium for harmonic crystals, JMP 44, 2596 (2003)

Hartmann M, Mahler G, Hess O, Existemnce of temperature on the nanoscale, PRL 93, 080402 (2004)

Gross D H E, Classical equilibrium thermostatistics, "Sancta sanctorum of statistical mechanics". From nuclei to stars, cond-mat/0311418

Dauxois T, Ruffo S, Arimondo E, Wilkens M, Dynamics and thermodynamics of systems with long range interactions: an introduction, cond-mat/0208455

Barre J, Mukamel D, Ruffo S, Inequivalence of ensembles in a system with long range interactions, cond-mat/0102036

Tasaki H, From quantum dynamics to the canonical distribution: General picture and a rigorous example, PRL 80, 1373 (1998)

Flambaum V V, Gribakina A A, Gribakin G F, Ponomarev I V, Interaction-driven equilibrium and statistical laws in small systems: The cerium atom, PRE 57, 4933 (1998)

C Jarzynski, Nonequilibrium equality for free energy differences, PRL 78, 2690 (1997)

Mathematical background

Jaksic V, Pillet C A, Mathematical theory of non-equilibrium quantum statistical mechanics, JSP 108, 787 (2002)

Minlos R A, Introduction to mathematical statistical physics (AMS, Univ. lecture series, v.19, 2000)

Петрина Д Я, Математические основы квантовой статистической механики (К., Ин-тут математики, 1995)

Кац М, Вероятность и смежные вопросы в физике (Мир, 1965)

Хинчин А Я, Математические основания статистической механики (M., Гостехиздат, 1943)

Methodological notes

Lavis D A, Is equilibrium a useful concept instatistical mechanics, cond-mat/0401061

Volchan S B, The fundamental concepts of classical equilibrium statistical mechanics, cond-mat/0310773

Touchette H, When is a quantity additive, and when it is extensive, PA 305, 84 (2002)

Goldstein S, Boltzmann's approach to statistical mechanics, cond-mat/0105242

Miscellaneous

van Kampen N G, The road from molecules to Onsager dedicated to Bob Dorfman in appreciation of the man and his work, JSP 109, 471 (2002)

Rau J, Muller B, From reversible quantum microdynamics to irreversible quantum transport, PR 272, 1 (1996)