Exclusive Many-Particle Diffusion in Disordered Media and Correlation Functions for Random Vertex Models
| dc.creator | Schuetz, Gunter | |
| dc.creator | Sandow, Sven | |
| dc.date | 1993-05-29 | |
| dc.date.accessioned | 2026-07-07T03:06:51Z | |
| dc.date.available | 2026-07-07T03:06:51Z | |
| dc.description | We consider systems of particles hopping stochastically on $d$-dimensional lattices with space-dependent probabilities. We map the master equation onto an evolution equation in a Fock space where the dynamics are given by a quantum Hamiltonian (continuous time) or a transfer matrix resp. (discrete time). We show that under certain conditions the time-dependent two-point density correlation function in the $N$-particle steady state can be computed from the probability distribution of a single particle moving in the same environment. Focussing on exclusion models where each lattice site can be occupied by at most one particle we discuss as an example for such a stochastic process a generalized Heisenberg antiferromagnet where the strength of the spin-spin coupling is space-dependent. In discrete time one obtains for one-dimensional systems the diagonal-to-diagonal transfer matrix of the two-dimensional six-vertex model with space-dependent vertex weights. For a random distribution of the vertex weights one obtains a version of the random barrier model describing diffusion of particles in disordered media. We derive exact expressions for the averaged two-point density correlation functions in the presence of weak, correlated disorder. | |
| dc.description | 32 pages, REVTEX, WIS-93/46/May.-PH | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9305040 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9305040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26966 | |
| dc.subject | Condensed Matter | |
| dc.title | Exclusive Many-Particle Diffusion in Disordered Media and Correlation Functions for Random Vertex Models | |
| dc.type | text |