Anomalous roughness, localization, and globally constrained random walks

J. D. Noh, H. Park, D. Kim, M. Den Nijs

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The scaling properties of even-visiting random walks “EVRW” on a d-dimensional hypercubic lattice was investigated. In the fermion interpretation, asymptotic anomalous diffusive properties of the EVRW determined the spectral properties of the non-Hermitian Hamiltonian near the band edge. Exact enumeration and Monte Carlo simulations showed that the dynamic exponent in one dimensional interfaces was equal to 3.

Original languageEnglish
Pages (from-to)461311-461314
Number of pages4
JournalPhysical Review E
Volume64
Issue number4
DOIs
StatePublished - Oct 2001

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