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The problem of Brownian motion in a periodic potential, under the influence of external forcing, which is either random or periodic in time, is studied in this paper. Multiscale techniques are used to derive general formulae for the steady…

Statistical Mechanics · Physics 2007-05-23 G. A. Pavliotis

Brownian particles interacting sequentially with distinct temperatures and driving forces at each stroke have been tackled as a reliable alternative for the construction of engine setups. However they can behave very inefficiently depending…

Statistical Mechanics · Physics 2022-12-28 Iago N. Mamede , Angel L. L. Stable , C. E. Fiore

The energetic efficiency of an overdamped Brownian particle in a saw tooth potential in the presence of time asymmetric forcing is studied in the adiabatic limit. An error made in the earlier work on the same problem in literature is…

Statistical Mechanics · Physics 2007-05-23 Raishma Krishnan , Soumen Roy , A. M. Jayannavar

The main physical features and operating principles of isothermal nanomachines in microworld are reviewed, which are common for both classical and quantum machines. Especial attention is paid to the dual and constructive role of dissipation…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Igor Goychuk

Within the context of the Brownian ratchet model, a molecular rotary system was studied that can perform unidirectional rotations induced by linearly polarized ac fields, and produce positive work under loads. The model is based on the…

Statistical Mechanics · Physics 2017-06-07 Hiroki Tutu , Takehiko Horita , Katsuya Ouchi

We consider the overdamped motion of Brownian particles, interacting via particle exclusion, in an external potential that varies with time and space. We show that periodic potentials that maintain specific position-dependent phase…

Statistical Mechanics · Physics 2011-05-09 Debasish Chaudhuri , Abhishek Dhar

The efficiency at maximum power (EMP) for tight-coupling molecular motors is investigated within the framework of irreversible thermodynamics. It is found that the EMP depends merely on the constitutive relation between the thermodynamic…

Statistical Mechanics · Physics 2013-12-13 Z. C. Tu

Biological molecular machines are enzymes that simultaneously catalyze two processes, one donating free energy and second accepting it. Recent studies show that most native protein enzymes have a rich stochastic dynamics that often…

Biological Physics · Physics 2018-12-21 Michal Kurzynski , Przemyslaw Chelminiak

We present a theoretical treatment of energy transfer in a molecular motor described in terms of overdamped Brownian motion on a multidimensional tilted periodic potential. The tilt acts as a thermodynamic force driving the system out of…

Soft Condensed Matter · Physics 2013-10-11 K. J. Challis , Michael W. Jack

We consider nano-sized artificial or biological machines working in steady state enforced by imposing non-equilibrium concentrations of solutes or by applying external forces, torques or electric fields. For unicyclic and strongly coupled…

Statistical Mechanics · Physics 2015-05-20 Udo Seifert

We study microscopic engines that use a single active particle as their "working medium". Part of the energy required to drive the directed motion of the particle can be recovered as work, even at constant temperature. A wide class of…

Soft Condensed Matter · Physics 2022-01-20 Thomas Speck

Chemical gradients provide the primordial energy for biological functions by driving the mechanical movement of microscopic engines. Their thermodynamic properties remain elusive, especially concerning the dynamic change in energy demand in…

Statistical Mechanics · Physics 2025-04-01 Ruo-Xun Zhai , Hui Dong

A simple model of the two-state ratchet type is proposed for molecular chemical engines that convert chemical free energy into mechanical work and vice versa. The engine works by catalyzing a chemical reaction and turning a rotor.…

Statistical Mechanics · Physics 2018-05-22 Kazuo Sasaki , Ryo Kanada , Satoshi Amari

As engineering advances toward the nanoscale, understanding design principles for molecular motors becomes increasingly valuable. Many molecular motors consist of coupled components transducing one free-energy source into another. Here, we…

Statistical Mechanics · Physics 2026-02-09 Sara Iranbakhsh , David A. Sivak

In this paper we investigate the use of path-integral formalism and the concepts of entropy and traffic in the context of molecular motors. We show that together with time-reversal symmetry breaking arguments one can find bounds on…

Statistical Mechanics · Physics 2015-05-13 Eliran Boksenbojm , Bram Wynants

Particles moving in oscillating potential with broken mirror symmetry are considered. We calculate their energetic efficiency, when acting as molecular motors carrying a load against external force. It is shown that interaction between…

Statistical Mechanics · Physics 2010-09-03 Frantisek Slanina

Molecular machines are stochastic systems that catalyze the energetic processes keeping living cells alive and structured. Inspired by the examples of F1-ATP synthase and the bacterial flagellum, we present a minimal model of an externally…

Statistical Mechanics · Physics 2020-03-18 Alexandra K. S. Kasper , David A. Sivak

We investigate autogenous fragmentation of dry granular material in rotating cylinders using two-dimensional molecular dynamics. By evaluation of spatial force distributions achieved numerically for various rotation velocities we argue that…

Materials Science · Physics 2009-11-07 Volkhard Buchholtz , Jan A. Freund , Thorsten Poeschel

We introduce an alternative route for obtaining reliable cyclic engines, based on interacting Brownian particles under time-periodic drivings. General expressions for the thermodynamic fluxes, such as power and heat, are obtained using the…

Statistical Mechanics · Physics 2022-02-16 Iago N. Mamede , Pedro E. Harunari , Bruno A. N. Akasaki , Karel Proesmans , Carlos E. Fiore

We investigate the dependence of the displacements of a molecular motor embedded inside a glassy material on its folding characteristic time. We observe two different time regimes. For slow foldings (regime I) the diffusion evolves very…