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In the Second Law of Thermodynamics which is a macroscopic physical law that states that in any isolated system, entropy can only increase and order, or organization, can only decrease. This means that in the long run, energy will always…

Classical Physics · Physics 2021-11-25 Srinivasa Rao. P

The proper definition of entropy is fundamental to the relationship between statistical mechanics and thermodynamics. It also plays a major role in the recent debate about the validity of the concept of negative temperature. In this paper,…

Statistical Mechanics · Physics 2015-11-18 Robert H. Swendsen

We analyze the time-resolved energy transport and the entropy production in ac-driven quantum coherent electron systems coupled to multiple reservoirs at finite temperature. At slow driving we formulate the first and second laws of…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Maria Florencia Ludovico , Michael Moskalets , David Sanchez , Liliana Arrachea

According to the second law, the efficiency of cyclic heat engines is limited by the Carnot bound that is attained by engines that operate between two thermal baths under the reversibility condition whereby the total entropy does not…

Quantum Physics · Physics 2018-01-12 Wolfgang Niedenzu , Victor Mukherjee , Arnab Ghosh , Abraham G. Kofman , Gershon Kurizki

We study the physical mechanism of Maxwell's Demon (MD) helping to do extra work in thermodynamic cycles, by describing measurement of position, insertion of wall and information erasing of MD in a quantum mechanical fashion. The heat…

Quantum Physics · Physics 2015-05-19 H. Dong , D. Z. Xu , C. P. Sun

We consider the stationary state of a Markov process on a bipartite system from the perspective of stochastic thermodynamics. One subsystem is used to extract work from a heat bath while being affected by the second subsystem. We show that…

Statistical Mechanics · Physics 2014-03-03 David Hartich , Andre C. Barato , Udo Seifert

We report two results complementing the second law of thermodynamics for Markovian open quantum systems coupled to multiple reservoirs with different temperatures and chemical potentials. First, we derive a nonequilibrium free energy…

Statistical Mechanics · Physics 2019-04-18 Krzysztof Ptaszynski , Massimiliano Esposito

In this article, we review a general theoretical framework of thermodynamics of information on the basis of Bayesian networks. This framework can describe a broad class of nonequilibrium dynamics of multiple interacting systems with complex…

Statistical Mechanics · Physics 2018-07-23 Sosuke Ito , Takahiro Sagawa

The 2nd law of thermodynamics yields an irreversible increase in entropy until thermal equilibrium is achieved. This irreversible increase is often assumed to require large and complex systems to emerge from the reversible microscopic laws…

Statistical Mechanics · Physics 2023-11-21 Ralph V. Chamberlin

The second law of thermodynamics states that the entropy of an isolated system is almost always increasing. We propose combinatorial formalizations of the second law and explore their conditions of possibilities.

Combinatorics · Mathematics 2017-06-27 Rafael Diaz , Sergio Villamarin

We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths beyond perturbation theory. Our approach is based on the exact time-local quantum master equation for the reduced open…

Quantum Physics · Physics 2022-05-31 Alessandra Colla , Heinz-Peter Breuer

Inspired by the second law of thermodynamics, we study the change in subsystem entropy generated by dynamical unitary evolution of a product state in a bipartite system. Working at leading order in perturbative interactions, we prove that…

High Energy Physics - Theory · Physics 2023-08-21 Clifford Cheung , Temple He , Allic Sivaramakrishnan

A version of the second law of thermodynamics states that one cannot lower the energy of an isolated system by a cyclic operation. We prove this law without introducing statistical ensembles and by resorting only to quantum mechanics. We…

Statistical Mechanics · Physics 2013-04-02 Sheldon Goldstein , Takashi Hara , Hal Tasaki

Many fruitful analogies have emerged between the theories of quantum entanglement and thermodynamics, motivating the pursuit of an axiomatic description of entanglement akin to the laws of thermodynamics. A long-standing open problem has…

Quantum Physics · Physics 2023-02-17 Ludovico Lami , Bartosz Regula

We seek here to unify the second law of thermodynamics with the other laws, or at least to put up a law behind the second law of thermodynamics. Assuming no fine tuning, concretely by a random Hamiltonian, we argue just from equations of…

High Energy Physics - Theory · Physics 2008-11-26 Holger B. Nielsen , Masao Ninomiya

We improve on our version of the second law of thermodynamics as a deterministic theorem for quantum spin systems in two basic aspects. The first concerns the general statement of the second law: spontaneous changes in an adiabatically…

Quantum Physics · Physics 2026-04-14 Walter F. Wreszinski

The second law of thermodynamics is discussed and reformulated from a quantum information theoretic perspective for open quantum systems using relative entropy. Specifically, the relative entropy of a quantum state with respect to…

Quantum Physics · Physics 2020-11-11 Neil Dowling , Stefan Floerchinger , Tobias Haas

The entropy shows an unavoidable tendency of disorder in thermostatistics according to the second thermodynamics law. This provides a minimization entropy principle for quantum thermostatistics with the von Neumann entropy and nonextensive…

Quantum Physics · Physics 2021-04-09 M. X. Luo , X. Wang

As remarked by Boltzmann, the Second Law of Thermodynamics is notable for the fact that it is readily proved using elementary statistical arguments, but becomes harder and harder to verify the more precise the microscopic description of a…

Quantum Physics · Physics 2026-04-03 Marco A. Jimenez-Valencia , Charles A. Stafford

Quantum measurement of a system can change its mean energy, as well as entropy. A selective measurement (classical or quantum) can be used as a "Maxwell's demon" to power a single-temperature heat engine, by decreasing the entropy. Quantum…

Quantum Physics · Physics 2010-11-05 Noam Erez