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NONEQUILIBRIUM STATISTICAL MECHANICS by
"... 6 Field theory for reactiondiffusion processes 45 6.1 Creation and Annihilation............................ 45 6.1.1 Operators and states........................... 46 6.1.2 Creation and annihilation for diffusion with creation and extinction 49 ..."
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6 Field theory for reactiondiffusion processes 45 6.1 Creation and Annihilation............................ 45 6.1.1 Operators and states........................... 46 6.1.2 Creation and annihilation for diffusion with creation and extinction 49
Nonequilibrium statistical mechanics of Minority Games
, 2002
"... Abstract. In this paper I give a brief introduction to a family of simple but nontrivial models designed to increase our understanding of collective processes in markets, the socalled Minority Games, and their nonequilibrium statistical mathematical analysis. Since the most commonly studied member ..."
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Abstract. In this paper I give a brief introduction to a family of simple but nontrivial models designed to increase our understanding of collective processes in markets, the socalled Minority Games, and their nonequilibrium statistical mathematical analysis. Since the most commonly studied
Quantum Hypothesis Testing and NonEquilibrium Statistical Mechanics
"... We extend the mathematical theory of quantum hypothesis testing to the general W∗algebraic setting and explore its relation with recent developments in nonequilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy f ..."
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Cited by 13 (7 self)
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We extend the mathematical theory of quantum hypothesis testing to the general W∗algebraic setting and explore its relation with recent developments in nonequilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy
Nonequilibrium statistical mechanics: a solvable model
, 2008
"... A twotemperature linear spin model is presented that allows an easily understandable introduction to nonequilibrium statistical physics. The model is one that includes the concepts that are typical of more realistic nonequilibrium models but that allows straightforward steady state solutions and, ..."
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A twotemperature linear spin model is presented that allows an easily understandable introduction to nonequilibrium statistical physics. The model is one that includes the concepts that are typical of more realistic nonequilibrium models but that allows straightforward steady state solutions and
The asymmetric simple exclusion process : an integrable model for nonequilibrium statistical mechanics
 J. Phys. A: Math. Gen
, 2006
"... The Asymmetric Simple Exclusion Process (ASEP) plays the role of a paradigm in NonEquilibrium Statistical Mechanics. We review exact results for the ASEP obtained by Bethe Ansatz and put emphasis on the algebraic properties of this model. The Bethe equations for the eigenvalues of the Markov Matrix ..."
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Cited by 26 (3 self)
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The Asymmetric Simple Exclusion Process (ASEP) plays the role of a paradigm in NonEquilibrium Statistical Mechanics. We review exact results for the ASEP obtained by Bethe Ansatz and put emphasis on the algebraic properties of this model. The Bethe equations for the eigenvalues of the Markov
Nonequilibrium statistical mechanics of strongly anharmonic chains of oscillators
 Comm. Math. Phys
"... We study the model of a strongly nonlinear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary state at all temperatures. This result extends those of Eckmann, Pillet, ReyBellet [EPR99a, EPR99b] to potentials with ..."
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Cited by 75 (17 self)
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We study the model of a strongly nonlinear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary state at all temperatures. This result extends those of Eckmann, Pillet, ReyBellet [EPR99a, EPR99b] to potentials
4 Maximum Entropy Production and Nonequilibrium Statistical Mechanics
"... Summary. Over the last 30 years empirical evidence in favour of the Maximum Entropy Production (MEP) principle for nonequilibrium systems has been accumulating from studies of phenomena as diverse as planetary climates, crystal growth morphology, bacterial metabolism and photosynthesis. And yet MEP ..."
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Summary. Over the last 30 years empirical evidence in favour of the Maximum Entropy Production (MEP) principle for nonequilibrium systems has been accumulating from studies of phenomena as diverse as planetary climates, crystal growth morphology, bacterial metabolism and photosynthesis. And yet
Communication NonEquilibrium Statistical Mechanics Inspired by Modern Information Theory
, 2013
"... entropy ..."
Nonequilibrium Statistical Mechanics of Anharmonic Crystals with Selfconsistent Stochastic Reservoirs
, 2008
"... We consider a ddimensional crystal with an arbitrary harmonic interaction and an anharmonic onsite potential, with stochastic Langevin heat bath at each site. We develop an integral formalism for the correlation functions that is suitable for the study of their relaxation (time decay) as well as t ..."
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Cited by 1 (1 self)
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We consider a ddimensional crystal with an arbitrary harmonic interaction and an anharmonic onsite potential, with stochastic Langevin heat bath at each site. We develop an integral formalism for the correlation functions that is suitable for the study of their relaxation (time decay) as well as their behavior in space. Furthermore, in a perturbative analysis, for the onedimensional system with weak coupling between the sites and small quartic anharmonicity, we investigate the steady state and show that the Fourier’s law holds. We also obtain an expression for the thermal conductivity (for arbitrary nextneighbor interactions) and give the temperature profile in the steady state.
NonEquilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures
, 1999
"... . We study the statistical mechanics of a finitedimensional nonlinear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations). Assuming that the initial conditions of the heat baths are distributed according to the Gibbs measures at two differ ..."
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Cited by 93 (22 self)
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. We study the statistical mechanics of a finitedimensional nonlinear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations). Assuming that the initial conditions of the heat baths are distributed according to the Gibbs measures at two
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