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 (5)<br />
• <strong>The</strong> large n probability<br />
• <strong>The</strong> density is given by<br />
ρ =<br />
p(n) ≈ λn<br />
n bp(0)<br />
N<br />
np(n) ≈<br />
n=1<br />
• <strong>The</strong> maximum density (λ → 1) behaves as<br />
ρmax ∼<br />
N<br />
n=1<br />
N<br />
n=1<br />
λ n<br />
n b−1p(0)<br />
1<br />
n b−1<br />
(16)<br />
(17)<br />
<strong>The</strong> <strong>Zero</strong> <strong>Range</strong> <strong>Process</strong> 22
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