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Characterizing and optimizing thermodynamic processes far from equilibrium is a challenge. This is especially true for nanoscopic systems made of few particles. We here theoretically and experimentally investigate the nonequilibrium…

The second law of equilibrium thermodynamics explains the direction of spontaneous processes in a system after removing internal constraints. When the system only exchanges energy with the environment as heat, the second law states that…

Statistical Mechanics · Physics 2024-04-30 Robert Hołyst , Paweł Jan Żuk , Anna Maciołek , Karol Makuch , Konrad Giżyński

Using standard intrusive techniques when solving hyperbolic conservation laws with uncertainties can lead to oscillatory solutions as well as nonhyperbolic moment systems. The Intrusive Polynomial Moment (IPM) method ensures hyperbolicity…

Numerical Analysis · Mathematics 2018-10-03 Jonas Kusch , Graham W. Alldredge , Martin Frank

The Integral Fluctuation Theorem for entropy production (IFT) is among the few equalities that are known to be valid for physical systems arbitrarily driven far from equilibrium. Microscopically, it can be understood as an inherent symmetry…

Statistical Mechanics · Physics 2023-06-21 Francesco Coghi , Lorenzo Buffoni , Stefano Gherardini

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of…

Quantum Physics · Physics 2025-11-05 Franklin L. S. Rodrigues , Eric Lutz

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially the system is prepared in thermal equilibrium.…

Statistical Mechanics · Physics 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

The authors of Ref. [1] claim to have experimental verification of violations of the second law of thermodynamics based on the assertions: (i) "for large systems and over long times the entropy production rate is necessarily positive"; (ii)…

Quantum Physics · Physics 2007-06-20 Elias P. Gyftopoulos

Several comments are given to previous proofs of the generalised second law of thermodynamics: black hole entropy plus ordinary matter entropy never decreases for a thermally closed system. Arguments in favour of its truism are given in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. -T. Sung

Controlling thermodynamic cycles to minimize the dissipated heat is a longstanding goal in thermodynamics, and more recently, a central challenge in stochastic thermodynamics for nanoscale systems. Here, we introduce a theoretical and…

Statistical Mechanics · Physics 2023-03-15 Shriram Chennakesavalu , Grant M. Rotskoff

In the previous analyses in the literature about the generalized second law (GSL) in an accelerated expanding universe the usual area relation for the entropy, i.e. $S={A\over 4G}$, was used for the cosmological horizon entropy. But this…

General Relativity and Quantum Cosmology · Physics 2011-01-14 H. Mohseni Sadjadi , Mubasher Jamil

This paper discusses a general and useful stability principle which, roughly speaking, says that given a uniformly continuous function defined on an arbitrary metric space, if the function is bounded on the constraint set and we slightly…

Optimization and Control · Mathematics 2020-09-04 Daniel Reem , Simeon Reich , Alvaro De Pierro

(abbreviated) The statistical mechanics of self-gravitating systems is a long-held puzzle. In this work, we employ a phenomenological entropy form of ideal gas, first proposed by White & Narayan, to revisit this issue. By calculating the…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-09 Ping He , Dong-Biao Kang

We propose an optimization strategy to control the dynamics of a stochastic system transferred from one thermal equilibrium to another and apply it experimentally to a Brownian particle in an optical trap under compression. Based on a…

Biological systems fundamentally exist out of equilibrium in order to preserve organized structures and processes. Many changing cellular conditions can be represented as transitions between nonequilibrium steady states, and organisms have…

Statistical Mechanics · Physics 2014-08-08 Patrick R. Zulkowski , David A. Sivak , Michael R. DeWeese

We formulate, under general conditions, the problem of maximisation of the total entropy of the system, assumed to be in a composable form, for fixed total value of the constrained quantity. We derive the general form of the composability…

Statistical Mechanics · Physics 2009-11-10 Ramandeep S. Johal

In this paper, we investigate the validity of the generalized second law of thermodynamics of the universe bounded by the event horizon. Here we consider homogeneous and isotropic model of the universe filled with perfect fluid in one case…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Nairwita Mazumder , Subenoy Chakraborty

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

Many biological systems perform close to their physical limits, but promoting this optimality to a general principle seems to require implausibly fine tuning of parameters. Using examples from a wide range of systems, we show that this…

The theoretical maximum time variation in the electronic charge permitted by the Generalized Second Law of Thermodynamics applied to black holes radiating and accreting in the cosmic microwave background matches the measured cosmological…

General Relativity and Quantum Cosmology · Physics 2010-04-02 Jane H. MacGibbon

We study the elementary problem of moving an active particle by a trap with minimum work input. We show analytically that (open-loop) optimal protocols are not affected by activity, but work fluctuations are always increased. For…

Statistical Mechanics · Physics 2025-07-10 Rosalba Garcia-Millan , Janik Schüttler , Michael E. Cates , Sarah A. M. Loos
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