Energy Transfer in a Molecular Motor in Kramers' Regime

Abstract

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 equilibrium and, for non-separable potentials, energy transfer occurs between degrees of freedom. For deep potential wells, the continuous theory transforms to a discrete master equation that is tractable analytically. We use this master equation to derive formal expressions for the hopping rates, drift, diffusion, efficiency and rate of energy transfer in terms of the thermodynamic force. These results span both strong and weak coupling between degrees of freedom, describe the near and far from equilibrium regimes, and are consistent with generalized detailed balance and the Onsager relations. We thereby derive a number of diverse results for molecular motors within a single theoretical framework.

8 pages, 3 figures

References in corpus (2)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Efficiency of molecular machines with continuous phase space

Cited by in corpus (4)

• Thermal Fluctuation Statistics in a Molecular Motor Described by a Multidimensional Master Equation
• A Tight-Binding Approach to Overdamped Brownian Motion on a Multidimensional Tilted Periodic Potential
• Mechanical inhibition of dissipation in a thermodynamically consistent active solid
• Multidimensional Washboard Ratchet Potentials for Frustrated Two-Dimensional Josephson-Junctions Arrays on square lattices