Kinetic roughening with power-law waiting time distribution

Lei H. Tang*, J. Kertesz, D. E. Wolf

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

The authors introduce a surface growth model where the elementary events are characterized by a waiting time distribution P( tau ). Exact relations to directed polymer statistics and to continuous time random walk problems are established. For P( tau ) approximately 1/ tau mu +1 the behaviour is similar to that of the Zhang model where rare-event-dominated kinetic roughening occurs due to a power-law noise in the surface increments. A careful correction to scaling analysis of the numerical results in 1+1 dimensions indicates universality with the Zhang model for fixed values of mu .

Original languageEnglish
Article number011
Pages (from-to)L1193-L1200
JournalJournal of Physics A: General Physics
Volume24
Issue number19
DOIs
StatePublished - 1991

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