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In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed…

Statistical Mechanics · Physics 2024-12-19 Thierry Bodineau , Bernard Derrida

A theoretical description of the phenomenon of modulation of near-wall turbulence by large scale structures is investigated. The description given is simple in that the effect of large-scale structures is limited to a quasi-steady response…

Fluid Dynamics · Physics 2012-03-19 Sergei I. Chernyshenko , Ivan Marusic , Romain Mathis

Many cell functions are accomplished thanks to intracellular transport mechanisms of macromolecules along filaments. Molecular motors such as dynein or kinesin are proteins playing a primary role in these processes. The behavior of such…

Chaotic Dynamics · Physics 2010-12-21 Donatello Materassi , Subhrajit Roychowdhury , Murti V. Salapaka

We consider the dynamics of a rigid filament in a motor protein assay under external loading. The motor proteins are modeled as active harmonic linkers with tail ends immobilized on a substrate. Their heads attach to the filament…

Biological Physics · Physics 2021-12-23 Amir Shee , Subhadip Ghosh , Debasish Chaudhuri

Molecular motor proteins serve as an essential component of intracellular transport by generating forces to haul cargoes along cytoskeletal filaments. Two species of motors that are directed oppositely (e.g. kinesin, dynein) can be attached…

Subcellular Processes · Quantitative Biology 2017-05-10 Christopher E. Miles , James P. Keener

We apply macroscopic fluctuation theory to study the diffusion of a tracer in a one-dimensional interacting particle system with excluded mutual passage, known as single-file diffusion. In the case of Brownian point particles with hard-core…

Statistical Mechanics · Physics 2014-11-18 P. L. Krapivsky , Kirone Mallick , Tridib Sadhu

In this perspective we consider how modern statistical mechanics and response theory can be applied to understand the response of polar molecules to an applied electric field and the fluctuations in these systems. Results that are…

Statistical Mechanics · Physics 2024-01-08 Debra J. Searles , Stephen Sanderson

This is an archival document; the work contains theoretical development to be used in new publications and to stimulate further development. Here, we develop a statistical mechanical treatment of a braid formed of two molecules subject to…

Statistical Mechanics · Physics 2014-03-31 D. J. Lee

At molecular scales, fluctuations play a significant role and prevent biomolecular processes from always proceeding in a preferred direction, raising the question of how limited amounts of free energy can be dissipated to obtain directed…

Statistical Mechanics · Physics 2016-10-05 Aidan I. Brown , David A. Sivak

We propose a mathematical model to describe the athermal fluctuations of thin sheets driven by the type of random driving that might be experienced prior to weak crumpling. The model is obtained by merging the F\"oppl-von K\'arm\'an…

Soft Condensed Matter · Physics 2022-08-11 Chanania Steinbock , Eytan Katzav , Arezki Boudaoud

We experimentally study the fluctuations of the work done by an external Gaussian random force on two different stochastic systems coupled to a thermal bath: a colloidal particle in an optical trap and an atomic force microscopy cantilever.…

Statistical Mechanics · Physics 2010-04-20 Juan Ruben Gomez-Solano , Ludovic Bellon , Artyom Petrosyan , Sergio Ciliberto

In the presence of ATP, molecular motors generate active force dipoles that drive suspensions of protein filaments far from thermodynamic equilibrium, leading to exotic dynamics and pattern formation. Microscopic modelling can help to…

Biological Physics · Physics 2015-06-17 D. A. Head , W. J. Briels , G. Gompper

Recently, continuum Microkinetic Rate Theory (cMRT) has been advanced as a method of studying rates of systems, where deviations between observation and cMRT theory have been found, and it hypothesized that these deviations are linked…

Statistical Mechanics · Physics 2019-01-23 M. F. Francis

We analyze the probabilities of large infrequent fluctuations in systems driven by external fields. In a broad range of the field magnitudes, the logarithm of the fluctuation probability is linear in the field magnitude, and the response…

Statistical Mechanics · Physics 2008-02-03 M. I. Dykman , H. Rabitz , V. N. Smelyanskiy , B. E. Vugmeister

Experimental and theoretical studies are made of Brownian particles trapped in a periodic potential, which is very slightly tilted due to gravity. In the presence of fluctuations, these will trigger a measurable average drift along the…

Atomic Physics · Physics 2010-10-14 M. Zelan , H. Hagman , K. Karlsson , C. M. Dion , A. Kastberg

The impact of thermal fluctuations on the translocation dynamics of a polymer chain driven through a narrow pore has been investigated theoretically and by means of extensive Molecular-Dynamics (MD) simulation. The theoretical consideration…

Soft Condensed Matter · Physics 2015-06-12 J. L. A. Dubbeldam , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

The Fluctuation Theorem describes the probability ratio of observing trajectories that satisfy or violate the second law of thermodynamics. It has been proved in a number of different ways for thermostatted deterministic nonequilibrium…

Statistical Mechanics · Physics 2009-10-31 Debra J. Searles , Denis J. Evans

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

Statistical Mechanics · Physics 2007-05-23 Nicolas Garnier , Ciliberto Sergio

Molecular motors convert chemical energy derived from the hydrolysis of ATP into mechanical energy. A well-studied model of a molecular motor is the flashing ratchet model. We show that this model exhibits a fluctuation relation known as…

Statistical Mechanics · Physics 2015-05-13 D. Lacoste , K. Mallick

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta
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