English
Related papers

Related papers: Integral Inequalities in Thermodynamics

200 papers

Quantifying irreversibility of a system using finite information constitutes a major challenge in stochastic thermodynamics. We introduce an observable that measures the time-reversal asymmetry between two states after a given time lag. Our…

Statistical Mechanics · Physics 2023-12-18 Shiling Liang , Simone Pigolotti

In quantum systems which satisfy the hypothesis of equal weights for eigenstates [4], the maximum work principle (for extremely slow and relatively fast operation) is derived by using quantum dynamics alone. This may be a crucial step in…

Statistical Mechanics · Physics 2007-05-23 Hal Tasaki

We design a heat engine with multi-heat-reservoir, ancillary system and quantum memory. We then derive an inequality related with the second law of thermodynamics, and give a new limitation about the work gain from the engine by analyzing…

Quantum Physics · Physics 2017-11-09 Li-Hang Ren , Heng Fan

We show that the zeroth law of thermodynamics holds within an alternative version of nonextensive statistical mechanics based on {\it incomplete probability distribution}. The generalized zeroth law leads to a generalized definition of…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

A generalization of the thermodynamic uncertainty relations is proposed. It is done by introducing of an additional term proportional to the interior energy into the standard thermodynamic uncertainty relation that leads to existence of the…

High Energy Physics - Theory · Physics 2009-11-10 A. E. Shalyt-Margolin , A. Ya. Tregubovich

The laws of thermodynamics provide a clear concept of the temperature for an equilibrium system in the continuum limit. Meanwhile, the equipartition theorem allows one to make a connection between the ensemble average of the kinetic energy…

Statistical Mechanics · Physics 2009-11-13 Alex V. Popov , Rigoberto Hernandez

The relationship between thermodynamics and statistical physics is valid in the thermodynamic limit - when the number of particles becomes very large. Here, we study thermodynamics in the opposite regime - at both the nano scale, and when…

Quantum Physics · Physics 2014-10-28 Michał Horodecki , Jonathan Oppenheim

We argue that thermal machines can be understood from the perspective of `virtual qubits' at `virtual temperatures': The relevant way to view the two heat baths which drive a thermal machine is as a composite system. Virtual qubits are…

Quantum Physics · Physics 2012-08-14 Nicolas Brunner , Noah Linden , Sandu Popescu , Paul Skrzypczyk

The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

Statistical Mechanics · Physics 2016-06-29 Kay Brandner , Udo Seifert

The general isotropic constitutive equations of heat conduction with second sound and ballistic propagation in isotropic materials is given using Non-Equilibrium Thermodynamics with Internal Variables (NET-IV). The consequences of Onsager…

Statistical Mechanics · Physics 2022-04-26 A. Famà , L. Restuccia , P. Ván

The purpose of this work is to discuss recent progress in deriving the fundamental laws of thermodynamics (0th, 1st and 2nd-law) from nonequilibrium quantum statistical mechanics. Basic thermodynamic notions are clarified and different…

Mathematical Physics · Physics 2007-05-23 Walid K. Abou Salem

An attempt toward the operational formulation of quantum thermodynamics is made by employing the recently proposed operations forming positive operator-valued measures for generating thermodynamic processes. The quantity of heat as well as…

Statistical Mechanics · Physics 2015-06-04 Sumiyoshi Abe , Yuki Aoyaghi

The article describes basic principles of the theory which unites thermodynamics of reversible and irreversible processes also extends them methods on processes of transfer and transformation of any forms of energy

General Physics · Physics 2014-02-10 V. A. Etkin

Thermodynamics could be seen as an expression of physics at a high epistemic level. As such, its potential as an inductive bias to help machine learning procedures attain accurate and credible predictions has been recently realized in many…

Machine Learning · Computer Science 2023-05-29 Elias Cueto , Francisco Chinesta

We show that systems with negative specific heat can violate the zeroth law of thermodynamics. By both numerical simulations and by using exact expressions for free energy and microcanonical entropy it is shown that if two systems with the…

Statistical Mechanics · Physics 2009-11-13 A. Ramirez-Hernandez , H. Larralde , F. Leyvraz

We develop an analytical framework for nonreciprocal radiative heat transfer in two-body planar systems. Based on our formalism, we identify effects that are uniquely nonreciprocal in near-field heat transfer in planar systems. We further…

On the one hand, the dissipated heat of a thermodynamic work extraction process upper bounds the non-predictive information, which the associated system encodes about its environment. Thus, emergent information processing capabilities can…

Neurons and Cognition · Quantitative Biology 2020-09-10 Kai Ueltzhöffer

We consider the entropy production of a strongly coupled bipartite system. The total entropy production can be partitioned into various components, which we use to define local versions of the Second Law that are valid without the usual…

Statistical Mechanics · Physics 2022-09-29 Gavin E. Crooks , Susanne E. Still

The equations of state for an ideal generalized gas, like an ideal quantum gas, are expressed in terms of power laws of the temperature. The reduction of an ideal generalized gas to an ideal classical case occurs when the characteristic…

Statistical Mechanics · Physics 2015-06-25 B. H. Lavenda

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