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 />
<strong>Condensation</strong> <strong>in</strong>to more than one site (6)<br />
• In order to understand the dynamics we wish to analyze the scal<strong>in</strong>g of the<br />
probability distribution.<br />
• <strong>The</strong> lead<strong>in</strong>g behavior <strong>in</strong> the system size L is as follows<br />
n ∗ ∼ L k/(k+1) ln(L) 1/(k+1)<br />
p(n ∗ ) ∼ L −2k/(k+1)<br />
∆n ∗ ∼ L k/(k+1) ln(L) 1/(k+1)<br />
w ∼<br />
1/(k+1) ln(L)<br />
L k<br />
(23)<br />
<strong>The</strong> <strong>Zero</strong> <strong>Range</strong> <strong>Process</strong> 48
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