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In a macroscopic (quantum or classical) Hamiltonian system, we prove the second law of thermodynamics in the forms of the minimum work principle and the law of entropy increase, under the assumption that the initial state is described by a…

统计力学 · 物理学 2007-05-23 Hal Tasaki

I argue here that both the first and second laws of thermodynamics, generally understood to be quintessentially physical in nature, can be equally well described as being about certain types of information without the need to invoke…

数据分析、统计与概率 · 物理学 2013-10-02 V. J. Vieland

Combining intuitive probabilistic assumptions with the basic laws of classical thermodynamics, using the latter to express probabilistic parameters in terms of the thermodynamic quantities, we get a simple unified derivation of the…

概率论 · 数学 2022-05-03 Vassili N. Kolokoltsov

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

数学物理 · 物理学 2009-10-31 Elliott H. Lieb , Jakob Yngvason

We focus attention on some particular thermodynamic relations (PTR). Using information theory concepts we show that, for a reversible process, microscopic considerations related to these PTR make the concomitant informational contents of…

统计力学 · 物理学 2007-05-23 E. M. F. Curado , A. Plastino

The second law of classical thermodynamics, based on the positivity of the entropy production, only holds for deterministic processes. Therefore the Second Law in stochastic quantum thermodynamics may not hold. By making a fundamental…

量子物理 · 物理学 2019-11-14 B. Ahmadi , S. Salimi , A. S. Khorashad

A definition of the thermodynamic entropy based on the time-dependent probability distribution of the macroscopic variables is developed. When a constraint in a composite system is released, the probability distribution for the new…

统计力学 · 物理学 2016-11-23 Robert H. Swendsen

Statistical mechanics descriptions of the second law of thermodynamics generally imply point-like particles driven by a dissipative overall mechanism for their simultaneous time-evolution. As the number of involved particles grows larger,…

综合物理 · 物理学 2016-02-16 Hans R. Moser

The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy…

软凝聚态物质 · 物理学 2009-10-30 Elliott H. Lieb , Jakob Yngvason

We consider the thermodynamic approach to the description of economic systems and processes. The first and second laws of thermodynamics as applied to economic systems are derived and analyzed. It is shown that there is a deep analogy…

综合金融 · 定量金融 2021-02-03 Sergey Rashkovskiy

In the scientific and engineering literature, the second law of thermodynamics is expressed in terms of the behavior of entropy in reversible and irreversible processes. According to the prevailing statistical mechanics interpretation the…

量子物理 · 物理学 2007-05-23 Elias P. Gyftopoulos , Gian Paolo Beretta

The microscopic derivation of the second law for macroscopic system is given under the phenomenological assumption that both the initial and final states are described by mutually different canonical ensembles. In particular, it is also…

经典物理 · 物理学 2011-11-08 Takaaki Monnai

Reciprocal relations correlate fairly accurately a great variety of experimental results. Nevertheless, the concepts of statistical fluctuations, and microscopic reversibility - the bases of the accepted proof of the relations by Onsager -…

化学物理 · 物理学 2007-05-23 Elias P. Gyftopoulos

The microscopic explanation of entropy has been challenged from both experimental and theoretical point of view. The expression of entropy is derived from the first law of thermodynamics indicating that entropy or the second law of…

综合物理 · 物理学 2007-05-23 Jozsef Garai

In statistical mechanics the zeroth law of thermodynamics is taken as a postulate which, as its name indicates, logically precedes the first and second laws. Treating it as a postulate has consequences for how temperature is introduced into…

统计力学 · 物理学 2025-02-11 Kim Sharp

We show how the macroscopic state variables pressure, entropy and temperature of equilibrium thermodynamics can be consistently derived from the (quantum) chaotic spectral structure of one or two particles in two-dimensional domains. This…

Deriving the laws of thermodynamics from a microscopic picture is a central quest of statistical mechanics. This tutorial focuses on the derivation of the first and second law for closed and open quantum systems far from equilibrium, where…

量子物理 · 物理学 2021-08-31 Philipp Strasberg , Andreas Winter

In a previous paper [1] we considered the question, "What underlying property of nature is responsible for the second law?" A simple answer can be stated in terms of information: The fundamental loss of information gives rise to the second…

统计力学 · 物理学 2012-02-21 T. L. Duncan , J. S. Semura

Evidence implies that basic laws of thermodynamics must be tested by experiments. In this paper, an experiment is designed to measure the entropy of a system with at least one known (measurable) equation of state, especially the gas…

综合物理 · 物理学 2007-05-23 Bin Zhou

This article is a short version of a longer article to appear in Physics Reports (cond-mat/9708200). The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of…

数学物理 · 物理学 2007-05-23 Elliott H. Lieb , Jakob Yngvason
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