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 />
Steady State <strong>in</strong> the Ca<strong>non</strong>ical Ensemble<br />
• In the ca<strong>non</strong>ical ensemble the probability distribution can be written us<strong>in</strong>g<br />
steady state s<strong>in</strong>gle site weights-f<br />
P({nℓ}) = Z −1<br />
L,N<br />
L<br />
f(nℓ)δ(<br />
ℓ=1<br />
L<br />
nℓ = N) (3)<br />
ℓ=1<br />
• <strong>The</strong> ca<strong>non</strong>ical partition function is def<strong>in</strong>ed as follows<br />
ZL,N ≡ <br />
{n ℓ}<br />
L<br />
f(nℓ)δ(<br />
ℓ=1<br />
L<br />
nℓ = N) (4)<br />
<strong>The</strong> <strong>Zero</strong> <strong>Range</strong> <strong>Process</strong> 10<br />
ℓ=1
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