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The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of…

Classical Analysis and ODEs · Mathematics 2013-05-09 Dmitry Vorotnikov

We investigate the dynamics of Brownian particles in internal state- dependent symmetric and periodic potentials. Although no space or time symmetry of the Hamiltonian is broken, we show that directed transport can appear. We demonstrate…

Other Condensed Matter · Physics 2009-11-10 Laurent Sanchez-Palencia

A model of Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion, is discussed. The general dynamics outlined in Sect. 2 is…

Statistical Mechanics · Physics 2009-10-31 Benno Tilch , Frank Schweitzer , Werner Ebeling

We have realized real-time steering of the directed transport in a Brownian motor based on cold atoms in optical lattices, and demonstrate drifts along pre-designed paths. The transport is induced by spatiotemporal asymmetries in the…

Atomic Physics · Physics 2011-02-04 H. Hagman , M. Zelan , C. M. Dion , A. Kastberg

Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasize is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal…

Statistical Mechanics · Physics 2009-10-31 Peter Reimann

A fully reconfigurable two-dimensional (2D) rocking ratchet system created with holographic optical micromanipulation is presented. We can generate optical potentials with the geometry of any Bravais lattice in 2D and introduce a spatial…

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

The problem of transport through nanochannels is one of the major questions in cell biology, with a wide range of applications. Brownian ratchets are fundamental in various biochemical processes, and are roughly divided into two categories:…

Soft Condensed Matter · Physics 2013-07-24 Anna Lappala , Alessio Zaccone , Eugene M. Terentjev

The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network approach to capture the statistical…

Biomolecules · Quantitative Biology 2007-05-23 Erzsebet Ravasz , S. Gnanakaran , Zoltan Toroczkai

We analyze the rectified motion of a Brownian particle in a confined environment. We show the emergence of strong cooperativity between the inherent rectification of the ratchet mechanism and the entropic bias of the fluctuations caused by…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

We investigated three models of Brownian motors which convert rotational diffusion into directed translational motion by switching on and off a potential. In the first model a spatially asymmetric potential generates directed translational…

Statistical Mechanics · Physics 2009-11-11 Brian Geislinger , Ryoichi Kawai

Directed transport of interacting active (self-propelled)Brownian particles is numerically investigated in confined geometries (entropic barriers). The self-propelled velocity can break thermodynamical equilibrium and induce the directed…

Statistical Mechanics · Physics 2015-05-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

In the absence of environmental cues, a migrating cell performs an isotropic random motion. Recently, the breaking of this isotropy has been observed when cells move in the presence of asymmetric adhesive patterns. However, up to now the…

Soft Condensed Matter · Physics 2015-06-17 M. Le Berre , Yan-Jun Liu , J. Hu , P. Maiuri , O. Bénichou , R. Voituriez , Y. Chen , M. Piel

The study of Brownian ratchets has taught how time-periodic driving supports a time-periodic steady state that generates nonequilibrium transport. When a single particle is transported in one dimension, it is possible to rationalize the…

Statistical Mechanics · Physics 2022-06-22 Nils E. Strand , Hadrien Vroylandt , Todd R. Gingrich

In this Letter, we clarify the physical origin of effective transport in periodic and tilted periodic systems. When Brownian dynamics is examined on the scale of a single period, the particle displacement admits a natural separation into a…

Statistical Mechanics · Physics 2026-01-27 Sang Yang , Zhixin Peng

Molecules with complex internal structure in time-dependent periodic potentials are studied by using short Rubinstein-Duke model polymers as an example. We extend our earlier work on transport in stochastically varying potentials to cover…

Statistical Mechanics · Physics 2015-05-18 Janne Kauttonen , Juha Merikoski

We investigate the influence of an external magnetic field (torque) on the motion of Brownian particles confined in a channel geometry with varying width. Furthermore, the particles are driven by random fluctuations modeled by the…

Biological Physics · Physics 2012-05-10 Paul K. Radtke , Lutz Schimansky-Geier

We consider the transport of rigid objects with internal structure in a flashing ratchet potential by investigating the overdamped behavior of a rod-like chain of evenly spaced point particles. In 1D, analytical arguments show that the…

Statistical Mechanics · Physics 2009-11-11 Erin M. Craig , Martin J. Zuckermann , Heiner Linke

Natural proteins fold to a unique, thermodynamically dominant state. Modeling of the folding process and prediction of the native fold of proteins are two major unsolved problems in biophysics. Here, we show successful all-atom ab initio…

Biomolecules · Quantitative Biology 2007-05-23 Jae Shick Yang , William W. Chen , Jeffrey Skolnick , Eugene I. Shakhnovich

The overdamped thermal ratchet driven by an external (Orstein-Uhlenbeck) noise is revisited. The ratchet we consider is unbounded in space and not necessarily periodic . We briefly discuss the conditions under which current is obtained by…

Soft Condensed Matter · Physics 2009-11-11 Ernesto Gonzalez-Candela , Victor Romero-Rochin
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