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We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on…

Optimization and Control · Mathematics 2024-10-08 Friedrich Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser , Bernhard Maschke

In many assembly line processes like metabolic and signaling networks in biological systems, the products of the first enzyme is the reactant for the next enzyme in the network. Working of multiple machines leads to efficient utilization of…

Statistical Mechanics · Physics 2025-06-17 Sandipan Dutta

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

We study a feedback control version of the flashing Brownian ratchet, in which the application of the flashing potential depends on the state of the particles to be controlled. Taking the view that the ratchet acts as a Maxwell's demon, we…

Statistical Mechanics · Physics 2008-12-02 F. J. Cao , M. Feito , H. Touchette

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 the past decade several theoretical Maxwell's demon models have been proposed exhibiting effects such as refrigerating, doing work at the cost of information, and some experiments have been done to realise these effects. Here we propose…

Statistical Mechanics · Physics 2016-08-24 Peiyan Peng , Changkui Duan

To induce transport, detailed balance must be broken. A common mechanism is to bias the dynamics with a thermodynamic fuel, such as chemical energy. An intriguing, alternative strategy is for a Maxwell demon to effect the bias using…

Statistical Mechanics · Physics 2015-06-11 Jordan M. Horowitz , Takahiro Sagawa , Juan M. R. Parrondo

A diffusive process that is reset to its origin at random times, so-called stochastic resetting (SR), is an ubiquitous expedient in many natural systems . Yet, beyond its ability to improve the efficiency of target searching, SR is a true…

We analyze a quantum Maxwell demon operating a Szilard engine in free fall near a black hole horizon, where quantum information, thermodynamics, and spacetime causality intersect. The demon is modeled as a coherent two-level system, and the…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Hamed Hadi , Amin Rezaei Akbarieh , Goksel Daylan Esmer

Multi-component molecular machines are ubiquitous in biology. We review recent progress on describing their thermodynamic properties using autonomous bipartite Markovian dynamics. The first and second laws can be split into local versions…

Statistical Mechanics · Physics 2023-04-10 Jannik Ehrich , David A. Sivak

Information plays a pivotal role in the thermodynamics of nonequilibrium processes with feedback. However, much remains to be learned about the nature of information fluctuations in small scale devices and their relation with fluctuations…

Statistical Mechanics · Physics 2016-12-21 Martin Luc Rosinberg , Jordan M. Horowitz

We introduce a deterministic chaotic system---the Szilard Map---that encapsulates the measurement, control, and erasure protocol by which Maxwellian Demons extract work from a heat reservoir. Implementing the Demon's control function in a…

Statistical Mechanics · Physics 2016-05-18 Alexander B. Boyd , James P. Crutchfield

We report an experimental realisation of Maxwell's demon in a photonic setup. We show that a measurement at the single-photon level followed by a feed-forward operation allows the extraction of work from intense thermal light into an…

In this paper, we explore a scenario where a sender provides an information policy and a receiver, upon observing a realization of this policy, decides whether to take a particular action, such as making a purchase. The sender's objective…

Numerical Analysis · Mathematics 2024-12-13 Jorge Justiniano , Andreas Kleiner , Benny Moldovanu , Martin Rumpf , Philipp Strack

So far, feedback-driven systems have been discussed using (i) measurement and control, (ii) a tape interacting with a system or (iii) by identifying an implicit Maxwell demon in steady state transport. We derive the corresponding second…

Statistical Mechanics · Physics 2014-03-05 A. C. Barato , U. Seifert

The study of feedback control inspired by Maxwell's demon is central to the understanding of the relationship between thermodynamics and information. In this paper, we establish fundamental lower limits on the work costs of system…

Quantum Physics · Physics 2026-03-10 Kaiyuan Ji , Gilad Gour , Mark M. Wilde

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

We derive the maximum entropy of a flow (information utility) which conforms to traffic constraints imposed by a generalized token bucket regulator, by taking into account the covert information present in the randomness of packet lengths.…

Information Theory · Computer Science 2007-07-13 Ashutosh Deepak Gore , Abhay Karandikar

The design of efficient quantum information processing will rely on optimal nonequilibrium transitions of driven quantum systems. Building on a recently-developed geometric framework for computing optimal protocols for classical systems…

Statistical Mechanics · Physics 2015-10-28 Patrick R. Zulkowski , Michael R. DeWeese

In any general cycle of measurement, feedback and erasure, the measurement will reduce the entropy of the system when information about the state is obtained, while erasure, according to Landauer's principle, is accompanied by a…

Statistical Mechanics · Physics 2017-06-28 Vegard B. Sørdal , Yuri M. Galperin , Joakim Bergli
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