Collective Diffusion and a Random Energy Landscape

Details Collective Diffusion and a Random Energy Landscape Collective Diffusion and a Random Energy Landscape

2000-02-24

arxiv.org/abs/cond-mat/0002382v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, no figures

Scientific paper

10.1103/PhysRevE.62.221

Starting from a master equation in a quantum Hamiltonian form and a coupling to a heat bath we derive an evolution equation for a collective hopping process under the influence of a stochastic energy landscape. There results different equations in case of an arbitrary occupation number per lattice site or in a system under exclusion. Based on scaling arguments it will be demonstrated that both systems belong below the critical dimension $d_c$ to the same universality class leading to anomalous diffusion in the long time limit. The dynamical exponent $z$ can be calculated by an $\epsilon = d_c-d$ expansion. Above the critical dimension we discuss the differences in the diffusion constant for sufficient high temperatures. For a random potential we find a higher mobility for systems with exclusion.

Affiliated with

Also associated with

No associations

Rating

Collective Diffusion and a Random Energy Landscape does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Collective Diffusion and a Random Energy Landscape, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collective Diffusion and a Random Energy Landscape will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-358442