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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<br />

• TASEP: the particle current out of a doma<strong>in</strong> of length n decays as 3<br />

• Consider ZRP with hopp<strong>in</strong>g rate<br />

j(n) ∼ β(1 + b/n)<br />

u(n) = 1 + b/n (13)<br />

• Interested <strong>in</strong> condensation ⇒ <strong>in</strong>vestigate large n behavior<br />

3 Novel phase-separation transition <strong>in</strong> one-dimensianal driven models.<br />

Y.Kafri, E.Lev<strong>in</strong>e, D.mukamel, G.M.Schutz and R.D.Willmann. (2002)<br />

<strong>The</strong> <strong>Zero</strong> <strong>Range</strong> <strong>Process</strong> 18

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