Positivity of entropy production in nonequilibrium statistical mechanics

Keywords

Entropy production, Statistical mechanics, Statistical physics, Entropy (arrow of time), Non-equilibrium thermodynamics

References

• Reversible Anosov diffeomorphisms and large deviationsGiovanni Gallavotti — 1995
• Recycling of strange sets: I. Cycle expansionsRoberto Artuso, Erik Aurell, Predrag Cvitanović — 1990
• Probability of second law violations in shearing steady states.Denis J. Evans, E. G. D. Cohen, Gary P. Morriss — 1993
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• Transport properties, Lyapunov exponents, and entropy per unit time.Pierre Gaspard, G. Nicolis — 1990
• Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theoremGiovanni Gallavotti — 1995
• Boltzmann's Entropy and Time's ArrowJoel L. Lebowitz — 1993
• The Introductory University Physics ProjectJohn S. Rigden, D. F. Holcomb, R. Di Stefano — 1993
• Steady-state electrical conduction in the periodic Lorentz gasN. I. Chernov, G. L. Eyink, J. L. Lebowitz — 1993
• Repellers, semi-attractors, and long-lived chaotic transientsHölger Kantz, Peter Grassberger — 1985
• GIBBS MEASURES IN ERGODIC THEORYYakov G. Sinai — 1972
• Chaotic scattering theory of transport and reaction-rate coefficients.J. R. Dorfman, Pierre Gaspard — 1994
• Dynamical ensembles in stationary statesG. Gallavotti, E. G. D. Cohen — 1995
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics.Giovanni Gallavotti, E. G. D. Cohen — 1994
• Transport properties of the Lorentz gas in terms of periodic orbitsPredrag Cvitanović, Jean‐Pierre Eckmann, Pierre Gaspard — 1993
• An inequality for the entropy of differentiable mapsDavid Ruelle — 1978
• The metric entropy of diffeomorphisms Part I: Characterization of measures satisfying Pesin's entropy formulaF. Ledrappier, Lai-Sang Young — 1985
• Ergodic theory and informationD. S., Patrick Billingsley — 1966

Cited by

• Chaos, Spatial Extension and Non-Equilibrium ThermodynamicsJürgen Vollmer — 2000
• Magnetic flows and Gaussian thermostats on manifolds of negative curvatureMaciej P. Wojtkowski — 2000
• Random Perturbations of Axiom A Basic SetsPeidong Liu — 1998
• Paths and stochastic order in open systemsUmberto Lucia — 2011
• Positivity of Entropy ProductionChristian Maes, Frank Redig — 2000
• On the Information Loss in Memoryless Systems: The Multivariate CaseBernhard C. Geiger — 2011
• Stochastic processes in turbulent transportKrzysztof Gawędzki — 2008
• Non-Equilibrium Statistical Mechanics and TurbulenceJohn Cardy, Gregory Falkovich, Krzysztof Gawędzki — 2009
• On the Validity of the Conjugate Pairing Rule for Lyapunov ExponentsFederico Bonetto, E. G. D. Cohen, Charles Pugh — 1998
• Controlling local disorder in self-assembled monolayers by patterning the topography of their metallic supportsJoanna Aizenberg, Andrew J. Black, George M. Whitesides — 1998
• The Fluctuation Theorem as a Gibbs PropertyChristian Maes — 1998
• An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systemsGiovanni Gallavotti, Fabio Perroni — 1999
• Ergodic and chaotic hypotheses: nonequilibrium ensembles in statistical mechanics and turbulenceGiovanni Gallavotti — 1999
• A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic DynamicsJoel L. Lebowitz, Herbert Spohn — 1998
• Field driven thermostated systems: A nonlinear multibaker mapThomas Gilbert, Charles D. Ferguson, J. R. Dorfman — 1998
• Smooth Dynamics and New Theoretical Ideas in Nonequilibrium Statistical MechanicsDavid Ruelle — 1998
• Entropy production and folding of the phase space in chaotic dynamicsEugen Mihăilescu — 2011
• Mecanique statistique hors equilibre: l'heritage de BoltzmannGiovanni Gallavotti — 1998
• Variational principles and approximation of dynamical indicators for systems with nonuniformly hyperbolic behaviorFernando José Sánchez-Salas — 2013
• Studio della misura di Sinai-Ruelle-Bowen in un sistema sempliceMarcello Porta — 2010

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