Exact stationary state of a staggered stochastic hopping model

Details Exact stationary state of a staggered stochastic hopping model Exact stationary state of a staggered stochastic hopping model

2001-10-08

arxiv.org/abs/cond-mat/0110142v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 2 eps-figures, uses jltp-macros to appear in J. Low Temp. Phys

Scientific paper

We determine the $N$-particle stationary states of a staggered stochastic hopping model with reflective boundaries. It is shown that the stationary states are in fact so-called optimum ground states. Recursion relations in the particle number for any $l$-point density correlation function will be derived. Furthermore, the connection between reflective boundaries and the occurrence of optimum ground states is examined. An explicit counterexample shows that reflective boundaries do not enforce the stationary state to be an optimum ground state.

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