Chaotic dynamics, fluctuations, nonequilibrium ensembles.

Keywords

Non-equilibrium thermodynamics, Statistical mechanics, Statistical physics, Ergodic theory, Chaotic

References

• New Methods in Nonequilibrium Gases and FluidsGiovanni Gallavotti — 1996
• MEASURES DESCRIBING A TURBULENT FLOWDavid Ruelle — 1980
• Probability of second law violations in shearing steady states.Denis J. Evans, E. G. D. Cohen, Gary P. Morriss — 1993
• Resolution of Loschmidt's paradox: The origin of irreversible behavior in reversible atomistic dynamics.Brad Lee Holian, William G. Hoover, Harald A. Posch — 1987
• Lectures on Gas TheoryLudwig Boltzmann, Stephen G. Brush, N. L. Balázs — 1964
• Positivity of entropy production in nonequilibrium statistical mechanicsDavid Ruelle — 1996
• Viscosity of a simple fluid from its maximal Lyapunov exponents.Denis J. Evans, E. G. D. Cohen, Gary P. Morriss — 1990
• Equivalence of dynamical ensembles and Navier-Stokes equationsGiovanni Gallavotti — 1996
• Reversibility, Coarse Graining and the Chaoticity PrincipleFederico Bonetto, Giovanni Gallavotti — 1996
• Boltzmann's Entropy and Time's ArrowJoel L. Lebowitz — 1993
• Dynamical ensembles equivalence in fluid mechanicsG. Gallavotti — 1996
• GIBBS MEASURES IN ERGODIC THEORYYakov G. Sinai — 1972
• Differentiation of SRB StatesDavid Ruelle — 1997
• Dynamical ensembles in stationary statesG. Gallavotti, E. G. D. Cohen — 1995
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics.Giovanni Gallavotti, E. G. D. Cohen — 1994
• Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis.Giovanni Gallavotti — 1996
• SRB States and Nonequilibrium Statistical Mechanics Close to EquilibriumGiovanni Gallavotti, David Ruelle — 1996
• Fluctuation theorem for stochastic dynamicsJorge Kurchan — 1997
• Lyapunov instability in a system of hard disks in equilibrium and nonequilibrium steady states.Christoph Dellago, Harald A. Posch, William G. Hoover — 1996
• Applications of periodic orbit theory toN-particle systemsLamberto Rondoni, Gary P. Morriss — 1997

Cited by

• Analytical and numerical results for detecting attractorsMirela-Catrinel Voicu — 2008
• The Gallavotti–Cohen Fluctuation Theorem for a Nonchaotic ModelStefano Lepri, Lamberto Rondoni, Giancarlo Benettin — 1999
• Chaos, Spatial Extension and Non-Equilibrium ThermodynamicsJürgen Vollmer — 2000
• Large Fluctuations and Axiom-C Structures in Deterministically Thermostatted SystemsLamberto Rondoni, Gary P. Morriss — 2003
• Entropy Production in Driven Spatially Extended SystemsChristian Maes — 2001
• Anomalous fluctuation relationsRainer Klages, Aleksei V. Chechkin, Peter Dieterich — 2013
• Transport and Diffusion in Disordered MediaOskari Ajanki — 2012
• The Mechanics of the Systems of Structured ParticlesV. M. Somsikov — 2009
• The Fluctuation Theorem as a Gibbs PropertyChristian Maes — 1998
• Statistical Mechanics of Entropy Production: Gibbsian hypothesis and local fluctuationsChristian Maes — 2001
• An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systemsGiovanni Gallavotti, Fabio Perroni — 1999
• A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic DynamicsJoel L. Lebowitz, Herbert Spohn — 1998
• Smooth Dynamics and New Theoretical Ideas in Nonequilibrium Statistical MechanicsDavid Ruelle — 1998
• Nonequilibrium and IrreversibilityGiovanni Gallavotti — 2013
• Foundations of Stochastic ThermodynamicsBernhard Altaner — 2014
• Stationary nonequilibrium statistical mechanicsGiovanni Gallavotti — 2005
• Stochastic models of exotic transportPiotr Garbaczewski — 2000
• Unstable periodic orbits and sensitivity of the barotropic model of the atmosphereAndrey Gritsun — 2010
• Complete hyperbolicity in Hamiltonian systems with linear potential and elastic collisionsMaciej P. Wojtkowski — 1999
• On the Earth’s magnetospheric dynamics: Nonequilibrium evolution and the fluctuation theoremGiuseppe Consolini, Paola De Michelis, Roberta Tozzi — 2008

Related papers

• Ensemble dependence of the transient fluctuation theoremDebra J. Searles, Denis J. Evans — 1999
• The Gallavotti-Cohen Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy DifferencesGavin E. Crooks — 1999
• Ergodic theorem, ergodic theory, and statistical mechanicsCalvin C. Moore — 2015
• Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences.Gavin E. Crooks — 1999
• Nonequilibrium detailed fluctuation theorem for repeated discrete feedback.Jordan M. Horowitz, Suriyanarayanan Vaikuntanathan — 2010
• Fluctuation theorem for nonequilibrium reactions.Pierre Gaspard — 2004
• Thermodynamic Derivation of the Fluctuation Theorem and Jarzynski EqualityMaarten H. P. Ambaum — 2011
• Experimental study of the fluctuation theorem in a nonequilibrium steady state.G. M. Wang, J. C. Reid, D. M. Carberry — 2005
• Determination of the equilibrium free energy for pulled single molecules from nonequilibrium work measurementsLiao Chen — 2009
• Nonequilibrium identities and response theory for dissipative particles.Hisao Hayakawa, Michio Otsuki — 2013