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Dynamic Model with Quenched Rotational Disorder in the Hexagonal Lattice
Author(s) -
Catalá J.D.,
Ruiz J.,
Ortuño M.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(200003)218:1<247::aid-pssb247>3.0.co;2-o
Subject(s) - hexagonal lattice , lattice (music) , hexagonal crystal system , universality (dynamical systems) , parameter space , percolation critical exponents , condensed matter physics , statistical physics , critical exponent , percolation threshold , percolation (cognitive psychology) , physics , mathematics , geometry , electrical resistivity and conductivity , chemistry , quantum mechanics , crystallography , phase transition , antiferromagnetism , acoustics , neuroscience , biology
We study a “percolative” dynamic model with quenched rotational disorder for the hexagonal lattice whose localization properties of the trajectories depend on the turning probabilities. Its critical behavior corresponds to that of simple percolation in some part of the parameter space, but elsewhere the exponents reveal new universality classes. We obtain the end‐to‐end distance as a function of the number of steps for different points in the parameter space. We also calculate the critical percolation probability for the hexagonal lattice, and find that it does not agree with the standard value.