Bulk diffusivity of lattice gases close to criticality
Author(s) -
Herbert Spohn,
HorngTzer Yau
Publication year - 1995
Publication title -
journal of statistical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.71
H-Index - 115
eISSN - 1572-9613
pISSN - 0022-4715
DOI - 10.1007/bf02179388
Subject(s) - criticality , thermal diffusivity , compressibility , lattice (music) , statistical physics , inverse , jump process , critical point (mathematics) , jump , asymmetric simple exclusion process , condensed matter physics , inverse temperature , thermodynamics , hard core , physics , materials science , mathematics , quantum mechanics , mathematical analysis , nuclear physics , geometry , acoustics
We consider lattice gases where particles jump at random times constrained by hard-core exclusion (simple exclusion process with speed change). The conventional theory of critical slowing down predicts that close to a critical point the bulk diffusivity vanishes as the inverse compressibility. We confirm this claim by proving a strictly positive lower bound for the conductivity.
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