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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 investigate a model of a stochastic engine operating cyclically at constant bath temperature, which consists of an overdamped Brownian harmonic oscillator that plays the role of working substance and is elastically coupled to an active…

Statistical Mechanics · Physics 2025-09-16 Erick Efrain Cote-Valencia , Juan Ruben Gomez-Solano

Recent experiments on the bacterial flagellar motor have shown that the structure of this nanomachine, which drives locomotion in a wide range of bacterial species, is more dynamic than previously believed. Specifically, the number of…

Biological Physics · Physics 2016-08-24 Jasmine A. Nirody , Richard M. Berry , George Oster

Molecular motors are specialized proteins which perform active, directed transport of cellular cargoes on cytoskeletal filaments. In many cases, cargo motion powered by motor proteins is found to be bidirectional, and may be viewed as a…

Subcellular Processes · Quantitative Biology 2015-06-16 Deepak Bhat , Manoj Gopalakrishnan

Machine learning (ML) has emerged as a pervasive tool in science, engineering, and beyond. Its success has also led to several synergies with molecular dynamics (MD) simulations, which we use to identify and characterize the major…

Biomolecules · Quantitative Biology 2022-05-09 Christopher Kolloff , Simon Olsson

Biological molecular motors are high-performance nanomachines that convert chemical energy into mechanical motion via chemomechanical coupling. Their reaction cycles typically comprise a series of intermediate chemical states between the…

Biological Physics · Physics 2025-05-26 Akihiro Fukuda , Yohei Nakayama , Shoichi Toyabe

Biomolecules stochastically occupy different possible configurations with probabilities given by non-equilibrium steady-state distributions. These distributions are determined by the transition rate constants between different…

Biological Physics · Physics 2024-07-19 Easun Arunachalam , Milo M. Lin

A cyclic nature of quantum mechanical clock is discussed as ``quantization of time." Quantum mechanical clock is seen to be equivalent to the relativistic classical clock.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hitoshi Kitada

Energy transfer plays a vital role in many natural and technological processes. In this work, we study the effects of mechanical motion on the excitation transfer through a chain of interacting molecules with application to biological…

An open problem in numerical analysis is to explain why molecular dynamics works. The difficulty is that numerical trajectories are only accurate for very short times, whereas the simulations are performed over long time intervals. It is…

Numerical Analysis · Mathematics 2007-06-13 P. F. Tupper

Movements of molecular motors on cytoskeletal filaments are described by directed walks on a line. Detachment from this line is allowed to occur with a small probability. Motion in the surrounding fluid is described by symmetric random…

Statistical Mechanics · Physics 2007-05-23 Theo M. Nieuwenhuizen , Stefan Klumpp , Reinhard Lipowsky

Molecular motors power directed transport of cargoes within cells. Even if a single motor is sufficient to transport a cargo, motors often cooperate in small teams. We discuss the cooperative cargo transport by several motors theoretically…

Subcellular Processes · Quantitative Biology 2007-05-23 Stefan Klumpp , Melanie J. I. Muller , Reinhard Lipowsky

We model the dynamics of a processive or rotary molecular motor using a renewal processes, in line with the work initiated by Svoboda, Mitra and Block. We apply a functional technique to compute different types of multiple-time correlation…

Statistical Mechanics · Physics 2007-05-23 Jaime E. Santos , Thomas Franosch , Andrea Parmeggiani , Erwin Frey

In the literature of Electromagnetism, the electromotive force of a "circuit" is often defined as work done on a unit charge during a complete tour of the latter around the circuit. We explain why this statement cannot be generally regarded…

Classical Physics · Physics 2023-07-21 C. J. Papachristou , A. N. Magoulas

The hopping model for cargo transport by molecular motors introduced in Refs. goldman1, goldman2, is extended here in order to incorporate the movement of cargo-motor complexes. In this context, hopping process expresses the possibility for…

Subcellular Processes · Quantitative Biology 2012-01-27 Lucas W. Rossi , Carla Goldman

We study dynamics of a classical particle in a one-dimensional potential, which is composed of two periodic components, that are time-independent, have equal amplitudes and periodicities. One of them is externally driven by a random force…

Statistical Mechanics · Physics 2007-05-23 G. Oshanin , J. Klafter , M. Urbakh

Molecular communication (MC) is a model of information transmission where the signal is transmitted by information-carrying molecules through their physical transport from a transmitter to a receiver through a communication channel. Prior…

Statistical Mechanics · Physics 2026-05-05 Phanindra Dewan , Sumantra Sarkar

We investigate the model of "reversible ratchet" with interacting particles, introduced by us earlier [Europhys. Lett. 84, 50009 (2008)]. We further clarify the effect of efficiency enhancement due to interaction and show that it is of…

Statistical Mechanics · Physics 2015-03-19 Frantisek Slanina

The dynamics of active matter driven by interacting molecular motors has a non-potential structure at the local scale. However, we show that there exists a quasi-potential effectively describing the collective self-organization of the…

Biological Physics · Physics 2022-06-15 Haythem Chelly , Pierre Recho

We investigate an optomechanical system as a model of an autonomous mechanical pendulum clock in the quantum regime, whose operation relies only on incoherent (thermal) resources. The escapement of the clock, the mechanism that translates…

Quantum Physics · Physics 2026-05-19 Matteo Brunelli , Mohammad Mehboudi , Nicolas Brunner , Patrick P. Potts