Ensemble and trajectory thermodynamics: A brief introduction

We revisit stochastic thermodynamics for a system with discrete energy states in contact with a heat and particle reservoir.

[1]  G. Crooks Path-ensemble averages in systems driven far from equilibrium , 1999, cond-mat/9908420.

[2]  C. Jarzynski Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale , 2011 .

[3]  G. Crooks Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  Ilya Prigogine,et al.  Thermodynamics of Irreversible Processes , 2018, Principles of Thermodynamics.

[5]  Fluctuation theorem for counting statistics in electron transport through quantum junctions , 2007, cond-mat/0702376.

[6]  Udo Seifert,et al.  Strong bounds on Onsager coefficients and efficiency for three-terminal thermoelectric transport in a magnetic field. , 2013, Physical review letters.

[7]  G. Crooks Nonequilibrium Measurements of Free Energy Differences for Microscopically Reversible Markovian Systems , 1998 .

[8]  Hong Qian,et al.  Stochastic theory of nonequilibrium steady states and its applications. Part I , 2012 .

[9]  C. Jarzynski Nonequilibrium Equality for Free Energy Differences , 1996, cond-mat/9610209.

[10]  P. Talkner,et al.  Colloquium: Quantum fluctuation relations: Foundations and applications , 2010, 1012.2268.

[11]  James S. Langer,et al.  Annual review of condensed matter physics , 2010 .

[12]  L. Reichl A modern course in statistical physics , 1980 .

[13]  H. Qian,et al.  Stochastic theory of nonequilibrium steady states. Part II: Applications in chemical biophysics , 2012 .

[14]  P. Mazur,et al.  Non-equilibrium thermodynamics, , 1963 .

[15]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[16]  C. Broeck,et al.  Thermodynamic efficiency at maximum power. , 2005 .

[17]  Massimiliano Esposito,et al.  Finite-time thermodynamics for a single-level quantum dot , 2009, 0909.3618.

[18]  U. Seifert Stochastic thermodynamics, fluctuation theorems and molecular machines , 2012, Reports on progress in physics. Physical Society.

[19]  L. Onsager Reciprocal Relations in Irreversible Processes. II. , 1931 .

[20]  Massimiliano Esposito,et al.  Quantum-dot Carnot engine at maximum power. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  F. Ritort,et al.  The nonequilibrium thermodynamics of small systems , 2005 .

[22]  Massimiliano Esposito,et al.  Entropy production as correlation between system and reservoir , 2009, 0908.1125.

[23]  Massimiliano Esposito,et al.  Reaching optimal efficiencies using nanosized photoelectric devices , 2009, 0907.4189.

[24]  C. Jarzynski Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach , 1997, cond-mat/9707325.

[25]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[26]  Massimiliano Esposito,et al.  Three detailed fluctuation theorems. , 2009, Physical review letters.

[27]  Z. C. Tu,et al.  Efficiency at maximum power of Feynman's ratchet as a heat engine , 2008, 0805.1482.

[28]  Massimiliano Esposito,et al.  Thermoelectric efficiency at maximum power in a quantum dot , 2008, 0808.0216.

[29]  U. Seifert Efficiency of autonomous soft nanomachines at maximum power. , 2010, Physical review letters.

[30]  Udo Seifert Entropy production along a stochastic trajectory and an integral fluctuation theorem. , 2005, Physical review letters.

[31]  M. Esposito,et al.  Thermodynamics of quantum-jump-conditioned feedback control. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  U. Seifert,et al.  Optimal finite-time processes in stochastic thermodynamics. , 2007, Physical review letters.

[33]  M. Esposito,et al.  Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems , 2008, 0811.3717.

[34]  Gary P. Morriss,et al.  Statistical Mechanics of Nonequilibrium Liquids , 2008 .

[35]  C. Van den Broeck,et al.  Cooling by heating: refrigeration powered by photons. , 2012, Physical review letters.