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We analyze the fate of dynamical systems that consist of two kind of processes. The first type is supposed to perform a certain function by processing information at a required high accuracy, which is, however, limited to less than 100…

Biological Physics · Physics 2018-10-10 Maximilian Voit , Hildegard Meyer-Ortmanns

This paper presents an analytical method for calculating the operational value of an energy storage device under multi-stage price uncertainties. Our solution calculates the storage value function from price distribution functions directly…

Optimization and Control · Mathematics 2024-03-29 Bolun Xu , Audun Botterud , Magnus Korpas

We derive universal thermodynamic inequalities that bound from below the moments of first-passage times of stochastic currents in nonequilibrium stationary states of Markov jump processes in the limit where the thresholds that define the…

Statistical Mechanics · Physics 2025-02-03 Izaak Neri

The Jarzynski equality allows the calculation of free-energy differences using values of work measured from nonequilibrium trajectories. The number of trajectories required to accurately estimate free-energy differences in this way grows…

Statistical Mechanics · Physics 2025-05-13 Stephen Whitelam

Starting from the classical Saltzman 2D convection equations, we derive via a severe spectral truncation a minimal 10 ODE system which includes the thermal effect of viscous dissipation. Neglecting this process leads to a dynamical system…

Chaotic Dynamics · Physics 2011-10-11 Valerio Lucarini , Klaus Fraedrich

The construction of models from data is a significant contributor to the energetic costs of computation. Because of this, understanding how foundational thermodynamic bounds apply to modeling algorithms will be increasingly important. Here,…

Statistical Mechanics · Physics 2026-05-20 Samuel H. D'Ambrosia , Sultan M. Daniels , Michael R. DeWeese , Anant Sahai

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

Statistical Mechanics · Physics 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

The thermodynamic uncertainty relation originally proven for systems driven into a non-equilibrium steady state (NESS) allows one to infer the total entropy production rate by observing any current in the system. This kind of inference…

Statistical Mechanics · Physics 2021-09-23 Timur Koyuk , Udo Seifert

Reducing energy consumption is one of the key challenges in computing technology. One factor that contributes to high energy consumption is that all parts of the program are considered equally significant for the accuracy of the end-result.…

An accurate energy efficiency analytical model based on a two-mode circuitry was recently proposed; and the model showed that the use of this circuitry can significantly improve a system's energy efficiency. In this paper, we use this…

Signal Processing · Electrical Eng. & Systems 2018-02-28 Jinkun Xu , Yu Chen , Hao Chen , Qimei Cui , Xiaofeng Tao

In thermal environments, information processing requires thermodynamic costs determined by the second law of thermodynamics. Information processing within finite time is particularly important, since fast information processing has…

Statistical Mechanics · Physics 2024-11-14 Takuya Kamijima , Ken Funo , Takahiro Sagawa

The collective phenomena in physics and cooperative phenomena in biology/chemistry is compared in terms of the variational description. The maximum energy dissipation principle is employed and the cost-like functional is chosen according to…

Chemical Physics · Physics 2010-03-03 Adam Moroz

We investigate the consequences of information exchange between a system and a measurement-feedback apparatus that cools the system below the environmental temperature. A quantitative relationship between entropy pumping and information…

Statistical Mechanics · Physics 2025-08-19 Andreas Dechant , Jakob Hüpfl , Shuta Kobayashi , Sosuke Ito , Stefan Rotter

We propose a thermodynamically consistent minimal model to study synchronization which is made of driven and interacting three-state units. This system exhibits at the mean-field level two bifurcations separating three dynamical phases: a…

Statistical Mechanics · Physics 2018-09-12 Tim Herpich , Juzar Thingna , Massimiliano Esposito

Studies have evaluated the economic feasibility of 100% renewable power systems using the optimization approach, but the mechanisms determining the results remain poorly understood. Based on a simple but essential model, this study found…

General Economics · Economics 2022-06-01 Takuya Hara

The hallmark of active matter is the autonomous directed motion of its microscopic constituents driven by consumption of energy resources. This leads to the emergence of large scale dynamics and structures without any equilibrium…

Statistical Mechanics · Physics 2021-06-22 Tomer Markovich , Étienne Fodor , Elsen Tjhung , Michael E. Cates

Biological processes that are able to discriminate between different molecules consume energy and dissipate heat. They operate at different levels of fidelity and speed, and as a consequence there exist fundamental trade-offs between these…

Statistical Mechanics · Physics 2025-02-28 Jonas Berx , Karel Proesmans

The paper proposes a framework for modeling and analysis of the dynamics of supply, demand, and clearing prices in power system with real-time retail pricing and information asymmetry. Real-time retail pricing is characterized by passing on…

Systems and Control · Computer Science 2011-06-08 Mardavij Roozbehani , Munther A Dahleh , Sanjoy K Mitter

We consider the thermodynamics of chemical coupling from the viewpoint of free energy transduction efficiency. In contrast to an external parameter-driven stochastic energetics setup, the dynamic change of the equilibrium distribution…

Statistical Mechanics · Physics 2022-06-28 Kyogo Kawaguchi , Masaki Sano

The efficiency at maximum power has been investigated extensively, yet the practical control scheme to achieve it remains elusive. We fill such gap with a stepwise Carnot-like cycle, which consists the discrete isothermal process (DIP) and…

Quantum Physics · Physics 2018-08-29 Yu-Han Ma , Dazhi Xu , Hui Dong , Chang-Pu Sun
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