2008
DOI: 10.1063/1.3013122
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Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment

Abstract: A system reservoir model, where the associated reservoir is modulated by an external colored random force, is proposed to study the transport of an overdamped Brownian particle in a periodic potential. We then derive the analytical expression for the average velocity, mobility, and diffusion rate. The bistable kinetics and escape rate from a metastable state in the overdamped region are studied consequently. By numerical simulation we then demonstrate that our analytical escape rate is in good agreement with t… Show more

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“…This phenomenon of increased probability of barrier crossing with the inclusion of memory is also reported in transport of ions through biological pores. 34 Alternative approaches to decrease the barrier crossing time have also been discussed in the context of modulating the host fluid to a non-equilibrium state, 42 or subjecting the nanoparticle to an external noise source of additive or multiplicative nature. 43,44 Thus, memory effects are important and should be included in the stochastic-simulation based multi-scale approaches used to study the dynamics and transport of fullerene-like nanoparticles in aqueous solution/biological environment.…”
Section: Gle Simulationmentioning
confidence: 99%
“…This phenomenon of increased probability of barrier crossing with the inclusion of memory is also reported in transport of ions through biological pores. 34 Alternative approaches to decrease the barrier crossing time have also been discussed in the context of modulating the host fluid to a non-equilibrium state, 42 or subjecting the nanoparticle to an external noise source of additive or multiplicative nature. 43,44 Thus, memory effects are important and should be included in the stochastic-simulation based multi-scale approaches used to study the dynamics and transport of fullerene-like nanoparticles in aqueous solution/biological environment.…”
Section: Gle Simulationmentioning
confidence: 99%