Limit Shapes for Gibbs Ensembles of Partitions
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DOI: 10.1007/s10955-018-2117-7
Abstract: We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and are also related to invariant measures of zero range and coagulation-fragmentation processes.… read more here.
Keywords: limit shapes; shapes gibbs; ensembles partitions; gibbs ensembles ... See more keywords
Generalized Gibbs Ensembles of the Classical Toda Chain
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DOI: 10.1007/s10955-019-02320-5
Abstract: The Toda chain is the prime example of a classical integrable system with strictly local conservation laws. Relying on the Dumitriu–Edelman matrix model, we obtain the generalized free energy of the Toda chain and thereby… read more here.
Keywords: ensembles classical; toda; toda chain; gibbs ensembles ... See more keywords
On generalized Gibbs ensembles with an infinite set of conserved charges
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DOI: 10.1088/1742-5468/aa82c1
Abstract: We revisit the question of whether and how the steady states arising after non-equilibrium time evolution in integrable models (and in particular in the XXZ spin chain) can be described by the so-called Generalized Gibbs… read more here.
Keywords: ensembles infinite; generalized gibbs; infinite set; set conserved ... See more keywords