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Related papers: Stochastic thermodynamics with information reservo…

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We extend stochastic thermodynamics by relaxing the two assumptions that the Markovian dynamics must be linear and that the equilibrium distribution must be a Boltzmann distribution. We show that if we require the second law to hold when…

Statistical Mechanics · Physics 2021-05-26 Jan Korbel , David H. Wolpert

Stochastic thermodynamics provides a framework for describing small systems like colloids or biomolecules driven out of equilibrium but still in contact with a heat bath. Both, a first-law like energy balance involving exchanged heat and…

Statistical Mechanics · Physics 2012-05-21 Udo Seifert

We investigate thermodynamics of general nonequilibrium processes stopped at stochastic times. We propose a systematic strategy for constructing fluctuation-theorem-like martingales for each thermodynamic functional, yielding a family of…

Statistical Mechanics · Physics 2023-06-02 Haoran Yang , Hao Ge

Materials that are constantly driven out of thermodynamic equilibrium, such as active and living systems, typically violate the Einstein relation. This may arise from active contributions to particle fluctuations which are unrelated to the…

Statistical Mechanics · Physics 2025-01-07 Benjamin Sorkin , Haim Diamant , Gil Ariel , Tomer Markovich

Entropy production in stochastic mechanical systems is examined here with strict bounds on its rate. Stochastic mechanical systems include pure diffusions in Euclidean space or on Lie groups, as well as systems evolving on phase space for…

Mathematical Physics · Physics 2022-01-12 Gregory S. Chirikjian

For sensory networks, we determine the rate with which they acquire information about the changing external conditions. Comparing this rate with the thermodynamic entropy production that quantifies the cost of maintaining the network, we…

Statistical Mechanics · Physics 2013-04-08 A. C. Barato , D Hartich , U. Seifert

Stochastic thermodynamics extends the notions and relations of classical thermodynamics to small systems that experience strong fluctuations. The definitions of work and heat and the microscopically reversible condition are two key concepts…

Statistical Mechanics · Physics 2019-07-23 Geng Li , Z. C. Tu

The possibility of a controlled manipulation with molecules at the nanoscale allows us to gain net work from thermal energy, although this seems to be in contradiction to the Second Law of thermodynamics. Any manipulation, however, causes…

Statistical Mechanics · Physics 2019-07-03 Miroslav Holeček

In the paradigm of thermodynamic computing, instead of behaving deterministically, hardware undergoes a stochastic process in order to sample from a distribution of interest. While it has been hypothesized that thermodynamic computers may…

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

A unification of thermodynamics and information theory is proposed. It is argued that similarly to the randomness due to collisions in thermal systems, the quenched randomness that exists in data files in informatics systems contributes to…

Information Theory · Computer Science 2007-07-13 Oded Kafri

Motivated by the recent proposed models of the information engine [D. Mandal and C. Jarzynski, Proc. Natl. Acad. Sci. 109, 11641 (2012)] and the information refrigerator [D. Mandal, H. T. Quan, and C. Jarzynski, Phys. Rev. Lett. 111, 030602…

Statistical Mechanics · Physics 2015-06-30 Yuansheng Cao , Zongping Gong , H. T. Quan

Systems that are driven by a randomly timed, external protocol can seemingly violate the second law of thermodynamics. We show that this thermodynamic paradox is resolved if the outcome of the random time is stored in a memory device.…

Statistical Mechanics · Physics 2025-10-28 Izaak Neri

The recently established connection between stochastic thermodynamics and fluctuating hydrodynamics is applied to a study of efficiencies in the coupled transport of heat and matter on a small scale. A stochastic model for a mesoscopic cell…

Statistical Mechanics · Physics 2019-04-01 Jean-François Derivaux , Yannick De Decker

I give a quick overview of some of the theoretical background necessary for using modern non-equilibrium statistical physics to investigate the thermodynamics of computation. I first present some of the necessary concepts from information…

Statistical Mechanics · Physics 2019-06-20 David H. Wolpert

We derive a formulation of the First Law of nonequilibrium thermodynamics for biological information-processing systems by partitioning entropy in the Second Law into microscopic and mesoscopic components and by assuming that natural…

Statistical Mechanics · Physics 2025-11-03 Roger D. Jones , Achille Giacometti , Alan M. Jones

We verify the finite time fluctuation theorem for a linear Ising chain at its ends in contact with heat reservoirs. Analytic results are derived for a chain consisting of only two spins. The system can be mapped onto a model for particle…

Statistical Mechanics · Physics 2017-03-15 R. Toral , C. Van den Broeck , D. Escaff , Katja Lindenberg

Stochastic thermodynamics is formulated under the assumption of perfect knowledge of all thermodynamic parameters. However, in any real-world experiment, there is non-zero uncertainty about the precise value of temperatures, chemical…

Statistical Mechanics · Physics 2024-01-11 Jan Korbel , David H. Wolpert

Recently, the theoretical framework of stochastic thermodynamics has been revealed to be useful for macroscopic systems. However, despite its conceptual and practical importance, the connection to hydrodynamics has yet to be explored. In…

Statistical Mechanics · Physics 2024-06-21 Kohei Yoshimura , Sosuke Ito

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