Random walks on finite high-dimensional cubic lattices with a single trap

✍ Scribed by Philip A. Politowicz; John J. Kozak; George H. Weiss

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 340 KB
• Volume: 120
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(85)85625-6

✦ Synopsis

Rccsl\cd 1 Jul> 1985 EKXI numencnl results an_ reporlsd [or the problem of unbiased nearesr-netghbor random walks on small fimle d( 5 3)-dlmenslonal Cartesian Induces ullh a smgle tnp The (&ht) dcpcndcncr of the survival probablbly on SYsIcm dlmcnslonnllry abobe d = 3 1s compared uxlh the predlchons or random unlh theory -lth the latler m ucellenl agreemcnr wlh Ihe dara Calculaoon or the relnhte uldth skewness and hur~os~s or the underlyrng (conr~nuous) probabllrly dlslnbuuon luncnon [or the problem conrlrms thal the process may be accuralcly descrrbed by an exponrnllal dlslnbullon funcuon as was predwed recrndy b> Weiss Hablln and Bunde AllenlIon 1s drawn 10 the reInwe speed a~ uhlch the calculated s~rwval hme drstrlbutlon reaches [he theoreucall> expected exponenlral rorm