Journal ArticleDOI
Cooperative molecular motors.
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TLDR
In this paper, a simple stochastical model for actin-myosin motors in muscles and for motility assays with a high concentration of motor molecules is presented.Abstract:
We present a simple stochastical model for motor molecules that cooperate in large groups. This model could apply for actin-myosin motors in muscles and for motility assays with a high concentration of motor molecules. We calculate the dependence of the velocity on the applied force as a function of ATP concentration and show the existence of a dynamical phase transition allowing for spontaneous directed motion even if the system is spatially symmetric. In the symmetric case, the problem is isomorphous to a paramagnet-ferromagnet transition, in the asymmetric case to a liquid-vapor transition.read more
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Journal ArticleDOI
Brownian motors: noisy transport far from equilibrium
TL;DR: In this paper, the main emphasis is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal noise and some prototypical perturbation that drives the system out of equilibrium without introducing a priori an obvious bias into one or the other direction of motion.
Journal ArticleDOI
Brownian motors
TL;DR: In this article, the authors present a proof-of-principle device, a diffusive temperature Brownian motor, which is particularly simple to implement experimentally in order to optimize and selectively control a rich variety of directed transport behaviors.
Journal ArticleDOI
Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport
Tom Chou,K. Mallick,R. K. P. Zia +2 more
TL;DR: The totally asymmetric exclusion process as discussed by the authors is regarded as a paradigmatic model for non-equilibrium statistical mechanics, much like the role the Ising model played for equilibrium statistical mechanics.
Journal ArticleDOI
Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
Tom Chou,K. Mallick,R. K. P. Zia +2 more
TL;DR: This work provides detailed mathematical analyses of a one-dimensional continuous-time lattice gas, the totally asymmetric exclusion process, regarded as a paradigmatic model for NESM, much like the role the Ising model played for equilibrium statistical mechanics.
Journal ArticleDOI
Kinetic Characterization of Heat Bath and the Energetics of Thermal Ratchet Models
TL;DR: In this article, the Langevin equations have been employed to describe thermally fluctuating systems, such as thermal ratchet models, and the role of the heat bath in these contexts has not been clearly understood.