Anomalous roughness, localization, and globally constrained random walks

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

doi:10.1103/PhysRevE.64.046131

Anomalous roughness, localization, and globally constrained random walks

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

Department of Physics

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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 language	English
Pages (from-to)	461311-461314
Number of pages	4
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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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 = "Noh, \{J. D.\} and H. Park and D. Kim and \{Den Nijs\}, M.",

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AB - 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.

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DO - 10.1103/PhysRevE.64.046131

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Anomalous roughness, localization, and globally constrained random walks

Abstract

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