Multiparticle random walks
| dc.creator | Acedo, Luis | |
| dc.creator | Yuste, Santos B. | |
| dc.date | 2003-10-06 | |
| dc.date.accessioned | 2026-07-07T02:53:59Z | |
| dc.date.available | 2026-07-07T02:53:59Z | |
| dc.description | An overview is presented of recent work on some statistical problems on multiparticle random walks. We consider a Euclidean, deterministic fractal or disordered lattice and N >> 1 independent random walkers initially (t=0) placed onto the same site of the substrate. Three classes of problems are considered: (i) the evaluation of the average number <S_N(t)> of distinct sites visited (territory explored) up to time t by the N random walkers, (ii) the statistical description of the first passage time t_{j,N} to a given distance of the first j random walkers (order statistics of exit times), and (iii) the statistical description of the time \mathbf{t}_{j,N} elapsed until the first j random walkers are trapped when a Euclidean lattice is randomly occupied by a concentration c of traps (order statistics of the trapping problem). Although these problems are very different in nature, their solutions share the same form of a series in ln^{-n}(N) \ln^m \ln (N) (with n>=1 and 0<=m<=n) for N>>1. These corrective terms contribute substantially to the statistical quantities even for relatively large values of N. | |
| dc.description | 14 pages, 13 figures, RevTex 4 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0310121 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0310121 | |
| dc.identifier | Recent Research Developments in Statistical Physics, Volume 2, Pages 83-106 (Transworld Research Network, Trivandrum, India, 2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22376 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Multiparticle random walks | |
| dc.type | text |