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Related papers: Entropy and efficiency of a molecular motor model

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Molecular motors drive mechanical motions utilizing the free energy liberated from chemical reactions such as ATP hydrolysis. Although it is essential to know the efficiency of this free energy transduction, it has been a challenge due to…

Cells generally convert external nutrient resources to support metabolismand growth. Understanding the thermodynamic efficiency of this conversion is essential to determine the general characteristics of cellular growth. Using a simple…

Subcellular Processes · Quantitative Biology 2015-06-19 Yusuke Himeoka , Kunihiko Kaneko

We derive exact expressions for the finite-time statistics of extrema (maximum and minimum) of the spatial displacement and the fluctuating entropy flow of biased random walks. Our approach captures key features of extreme events in…

Statistical Mechanics · Physics 2021-02-10 Alexandre Guillet , Édgar Roldán , Frank Jülicher

In this paper, we reveal the relationship between entropy rate and the congestion in complex network and solve it analytically for special cases. Finding maximizing entropy rate will lead to an improvement of traffic efficiency, we propose…

Physics and Society · Physics 2017-09-15 Yuhang Fan , Hanyuan Liu , Shibo He

Molecular machines consist of either a single protein or a macromolecular complex composed of protein and RNA molecules. Just like their macroscopic counterparts, each of these nano-machines has an engine that "transduces" input energy into…

Biological Physics · Physics 2012-03-15 Debashish Chowdhury

Motor enzymes catalyze chemical reactions, like the hydrolysis of ATP, and in the process they also perform work. Recent studies indicate that motor enzymes perform work with specific intermediate steps in their catalyzed reactions,…

Biological Physics · Physics 2007-05-23 Josh E. Baker

We argue that entropy production in hydrodynamics can be understood via a superspace inflow mechanism. Our arguments are based on a recently developed formalism for constructing effective actions for Schwinger-Keldysh observables in quantum…

High Energy Physics - Theory · Physics 2018-08-08 Felix M. Haehl , R. Loganayagam , Mukund Rangamani

Time-varying optimization problems are central to many engineering applications, where performance metrics and system constraints evolve dynamically with time. Several algorithms have been proposed to address these problems; a common…

Optimization and Control · Mathematics 2025-10-28 Gianluca Bianchin , Bryan Van Scoy

Active matter constantly dissipates energy to power the self-propulsion of its microscopic constituents. This opens the door to designing innovative cyclic engines without any equilibrium equivalent. We offer a consistent thermodynamic…

Soft Condensed Matter · Physics 2020-07-08 Timothy Ekeh , Michael E. Cates , Étienne Fodor

Expanding upon previous work, using the path-integral formalism we derive expressions for the one-particle reduced density matrix and the two-point correlation function for a quadratic system of bosons that interact through a general class…

Quantum Gases · Physics 2021-12-15 Timour Ichmoukhamedov , Jacques Tempere

Motivated by experiments on single-headed kinesin KIF1A, we develop a model of intra-cellular transport by interacting molecular motors. It captures explicitly not only the effects of ATP hydrolysis, but also the ratchet mechanism which…

Biological Physics · Physics 2009-11-11 Katsuhiro Nishinari , Yasushi Okada , Andreas Schadschneider , Debashish Chowdhury

We show how the formalism used for thermoelectric transport may be adapted to Smoluchowski's seminal thought experiment also known as Feynman's ratchet and pawl system. Our analysis rests on the notion of useful flux, which for a…

Statistical Mechanics · Physics 2014-08-19 Y. Apertet , H. Ouerdane , C. Goupil , Ph. Lecoeur

In this letter we propose the use of physics techniques for entropy determination on constrained parameter optimization problems. The main feature of such techniques, the construction of an unbiased walk on energy space, suggests their use…

Statistical Mechanics · Physics 2009-11-07 A. R. Lima , M. Argollo de Menezes

We consider mechanisms of directed transport in a ratchet model comprising, besides the external freedom where transport occurs, a chemical freedom that replaces the familiar external driving by an autonomous dynamics providing energy…

Chemical Physics · Physics 2015-05-18 Thomas Dittrich , Nestor A. Naranjo

Based on quantum thermodynamic processes, we make a quantum-mechanical (QM) extension of the typical heat engine cycles, such as the Carnot, Brayton, Otto, and Diesel cycles, etc. The temperature is not included in these QM engine cycles,…

Statistical Mechanics · Physics 2013-02-05 Jianhui Wang , Yongli Ma , Jizhou He

We study the statistics of the efficiency in a class of isothermal cyclic machines with realistic coupling between the internal degrees of freedom. We derive, under fairly general assumptions, the probability distribution function for the…

Statistical Mechanics · Physics 2019-01-30 Marc Suñe , Alberto Imparato

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

This work introduces novel computational methods for entropic optimal transport (OT) problems under martingale-type conditions. The considered problems include the discrete martingale optimal transport (MOT) problem. Moreover, as the…

Optimization and Control · Mathematics 2025-08-26 Xun Tang , Michael Shavlovsky , Holakou Rahmanian , Tesi Xiao , Lexing Ying

Starting from an algebraic approach of quantum physics it has been shown via the Tomita-Takesaki theorem and the KMS condition that the canonical density matrix contains the dynamics of the system provided we use a rescaling of time. In…

Statistical Mechanics · Physics 2009-02-06 J. P. Badiali

An equilibrium reversible cycle with a certain engine to transduce the energy of any chemical reaction into mechanical energy is proposed. The efficiency for chemical energy transduction is also defined so as to be compared with Carnot…

Soft Condensed Matter · Physics 2009-10-30 Tatsuo Shibata , Shin-ichi Sasa