Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-03-06
J. Stat. Phys. 86 (1997)1237.
Physics
Condensed Matter
Statistical Mechanics
39 pages, with 5 eps figures, to appear in J. Stat. Phys. (March 1997)
Scientific paper
10.1007/BF02183622
We study a model of assisted diffusion of hard-core particles on a line. The model shows strongly ergodicity breaking : configuration space breaks up into an exponentially large number of disconnected sectors. We determine this sector-decomposion exactly. Within each sector the model is reducible to the simple exclusion process, and is thus equivalent to the Heisenberg model and is fully integrable. We discuss additional symmetries of the equivalent quantum Hamiltonian which relate observables in different sectors. In some sectors, the long-time decay of correlation functions is qualitatively different from that of the simple exclusion process. These decays in different sectors are deduced from an exact mapping to a model of the diffusion of hard-core random walkers with conserved spins, and are also verified numerically. We also discuss some implications of the existence of an infinity of conservation laws for a hydrodynamic description.
Barma Mustansir
Dhar Deepak
Menon Gautam I.
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