The Zero Range Process Condensation in non-equilibrium systems
The Zero Range Process Condensation in non-equilibrium systems
The Zero Range Process Condensation in non-equilibrium systems
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Yoni Schwarzkopf February 10, 2006<br />
Analytically solvable case (7)<br />
For b > 2 the system has three phases<br />
1. low density phase:<br />
p(n) ∼ 1<br />
n<br />
where the correlation length ξ is def<strong>in</strong>ed as<br />
b exp−n/ξ<br />
ξ = 1<br />
|ln(λ)|<br />
(19)<br />
(20)<br />
For b < 2 one can easily see that ρ ≡< n > diverges hence no condensation<br />
will appear.<br />
<strong>The</strong> <strong>Zero</strong> <strong>Range</strong> <strong>Process</strong> 24
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