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This study introduces a novel approach to derive a lower bound for the entropy production rate of a subsystem by utilizing the Cauchy-Schwarz inequality. It extends to establishing comprehensive upper and lower bounds for the efficiency of…

Statistical Mechanics · Physics 2024-07-04 Shihao Xia , Shuanglong Han , Ousi Pan , Yuzhuo Pan , Jincan Chen , Shanhe Su

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

Statistical Mechanics · Physics 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

The high accuracy exhibited by biological information transcription processes is due to kinetic proofreading, i.e., by a mechanism which reduces the error rate of the information-handling process by driving it out of equilibrium. We provide…

Statistical Mechanics · Physics 2015-06-18 Riccardo Rao , Luca Peliti

A thermodynamic formalism describing the efficiency of information learning is proposed, which is applicable for stochastic thermodynamic systems with multiple internal degree of freedom. The learning rate, entropy production rate (EPR),…

Statistical Mechanics · Physics 2023-05-31 Minghao Li , Shihao Xia , Youlin Wang , Minglong Lv , Shanhe Su

Optimality principles in nonequilibrium transport networks are linked to a thermodynamic formalism based on generalized transport potentials endowed with Legendre duality and related contact structure. This allows quantifying the distance…

Statistical Mechanics · Physics 2025-06-23 Amilcare Porporato , Shashank Kumar Anand , Salvatore Calabrese , Luca Ridolfi , Lamberto Rondoni

Energy efficiency is a big concern in industrial sectors. Finding the root cause of anomaly state of energy efficiency can help to improve energy efficiency of industrial systems and therefore save energy cost. In this research, we propose…

Machine Learning · Computer Science 2024-01-12 Jian Ma

In this paper, a novel mean-value exergy-based modeling framework for internal combustion engines is developed. The characterization of combustion irreversibilities, thermal exchange between the in-cylinder mixture and the cylinder wall,…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Gabriele Pozzato , Denise Rizzo , Simona Onori

Nonequilibrium processes break time-reversal symmetry and generate entropy. Living systems are driven out-of-equilibrium at the microscopic level of molecular motors that exploit chemical potential gradients to transduce free energy to…

Statistical Mechanics · Physics 2022-12-06 Eden Nitzan , Aishani Ghosal , Gili Bisker

We establish a fundamental connection between score-based diffusion models and non-equilibrium thermodynamics by deriving performance limits based on entropy rates. Our main theoretical contribution is a lower bound on the negative…

Machine Learning · Computer Science 2025-10-08 Nathan X. Kodama , Michael Hinczewski

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

By using entropy and entropy production, we calculate the steady flux of some phenomena. The method we use is a competition method, $S_S/\tau+\sigma={\it maximum}$, where $S_S$ is system entropy, $\sigma$ is entropy production and $\tau$ is…

Statistical Mechanics · Physics 2016-07-26 Yong-Jun Zhang

Thermoelectric efficiency is defined as the ratio of power delivered to the load of a device to the rate of heat flow from the source. Till date, it has been studied in presence of thermodynamic constraints set by the Onsager reciprocal…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 Hangbo Zhou , Juzar Thingna , Peter Hänggi , Jian-Sheng Wang , Baowen Li

For a colloidal particle driven by a constant force across a periodic potential, we investigate the distribution of entropy production both experimentally and theoretically. For short trajectories, the fluctuation theorem holds…

Statistical Mechanics · Physics 2009-11-13 T. Speck , V. Blickle , C. Bechinger , U. Seifert

In many real-world situations, there are constraints on the ways in which a physical system can be manipulated. We investigate the entropy production (EP) and extractable work involved in bringing a system from some initial distribution $p$…

Statistical Mechanics · Physics 2022-11-22 Artemy Kolchinsky , David H. Wolpert

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

Statistical Mechanics · Physics 2020-08-21 Gil Ariel , Haim Diamant

Biomass gasification procedure is a very complex process and it is influenced by many physical and chemical factors such as biomass gasification temperature and gasifier type. Thermodynamic assessment methodology based on the energy and…

Systems and Control · Electrical Eng. & Systems 2022-09-08 Abbas Alpaslan Kocer , Yunus Emre Yuksel , Murat Ozturk

The common saying, that information is power, takes a rigorous form in stochastic thermodynamics, where a quantitative equivalence between the two helps explain the paradox of Maxwell's demon in its ability to reduce entropy. In the present…

Statistical Mechanics · Physics 2021-03-09 Amirhossein Taghvaei , Olga Movilla Miangolarra , Rui Fu , Yongxin Chen , Tryphon T. Georgiou

In this article we develop a duality principle and concerning computational method for a structural optimization problem in elasticity. We consider the problem of finding the optimal topology for an elastic solid which minimizes its…

Optimization and Control · Mathematics 2019-11-13 Fabio Botelho , Alexandre Molter

We study the optimal exergy efficiency and power for thermodynamic systems with Onsager-type "current-force" relationship describing the linear-response to external influences. We derive, in simple analytic forms, the maximum efficiency and…

Statistical Mechanics · Physics 2015-03-17 Jian-Hua Jiang

The field-dependent equilibrium thermodynamics is derived with two methods: either by using the potential formalism either by the statistical method. Therefore, Pontrjagin's extremum principle of control theory is applied to an extended…

General Physics · Physics 2007-05-23 W. D. Bauer