Non-equilibrium Dynamics, Thermalization and Entropy Production
Haye Hinrichsen,Christian Gogolin,Peter Janotta +2 more
- Vol. 297, Iss: 1, pp 012011
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TLDR
In this paper, the authors focus on the problem of entropy production in non-equilibrium systems from a quantum-mechanical point of view and present an alternative simple proof of the fluctuation theorem.Abstract:
This paper addresses fundamental aspects of statistical mechanics such as the motivation of a classical state space with spontaneous transitions, the meaning of non-equilibrium in the context of thermalization, and the justification of these concepts from the quantum-mechanical point of view. After an introductory part we focus on the problem of entropy production in non-equilibrium systems. In particular, the generally accepted formula for entropy production in the environment is analyzed from a critical perspective. It is shown that this formula is only valid in the limit of separated time scales of the system's and the environmental degrees of freedom. Finally, we present an alternative simple proof of the fluctuation theorem.read more
Citations
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Stochastic thermodynamics, fluctuation theorems and molecular machines
TL;DR: Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.
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Stochastic thermodynamics, fluctuation theorems, and molecular machines
TL;DR: In this paper, the authors provide a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined non-equilibrium ensembles.
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In ETH Zürich
TL;DR: In this article, the authors give an introduction to finite element methods and compare different hp-adaptive stategies theoretically and by numerical experiments, and compare them theoretically and empirically.
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Microscopic theory for the time irreversibility and the entropy production
TL;DR: In this paper, the authors derived the relation between the irreversibility and the entropy production starting from the deterministic equations of motion of the whole system consisting of a physical system and a surrounding thermal environment.
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Entropy production of nonequilibrium steady states with irreversible transitions
TL;DR: In this paper, a lower bound on the amount of entropy produced by a divergent entropy production in a stationary nonequilibrium system with a vanishing backward rate wc??c?=?0 is given.
References
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Information Theory and Statistical Mechanics. II
TL;DR: In this article, the authors consider statistical mechanics as a form of statistical inference rather than as a physical theory, and show that the usual computational rules, starting with the determination of the partition function, are an immediate consequence of the maximum-entropy principle.
Journal ArticleDOI
Many-Body Physics with Ultracold Gases
TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
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Decoherence, einselection, and the quantum origins of the classical
TL;DR: In this article, it was shown that many of the symptoms of classicality can be induced in quantum systems by their environments, which leads to environment-induced superselection or einselection, a quantum process associated with selective loss of information.
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Chaos and quantum thermalization
TL;DR: It is shown that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey Berry's conjecture, and argued that these results constitute a sound foundation for quantum statistical mechanics.
Book
Decoherence and the Appearance of a Classical World in Quantum Theory
TL;DR: In this article, the authors present basic concepts and their interpretation, including Decoherence through Interaction with the Environment, consistent history and decoherence in Quantum Field Theory and Quantum Gravity.
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