Anomalous roughness, localization, and globally constrained random walks

J. Dong Noh; H. Park; J. Dong Noh; D. Kim; M. Den Nijs

doi:10.1103/PhysRevE.64.046131

Anomalous roughness, localization, and globally constrained random walks

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

Department of Physics

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	046131
Pages (from-to)	461311-461324
Number of pages	14
Journal	Physical Review E
Volume	64
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.64.046131
State	Published - Oct 2001

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10.1103/PhysRevE.64.046131

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title = "Anomalous roughness, localization, and globally constrained random walks",

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.",

author = "{Dong Noh}, J. and H. Park and {Dong Noh}, J. and D. Kim and {Den Nijs}, M.",

year = "2001",

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Anomalous roughness, localization, and globally constrained random walks

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