4.4 Article

The grand canonical catastrophe as an instance of condensation of fluctuations

Journal

EPL
Volume 111, Issue 2, Pages -

Publisher

IOP Publishing Ltd
DOI: 10.1209/0295-5075/111/20004

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The so-called grand canonical catastrophe of the density fluctuations in the ideal Bose gas is shown to be a particular instance of the much more general phenomenon of condensation of fluctuations, taking place in a large system, in or out of equilibrium, when a single degree of freedom makes a macroscopic contribution to the fluctuations of an extensive quantity. The pathological character of the catastrophe is demystified by emphasizing the connection between experimental conditions and statistical ensembles, as demonstrated by the recent realization of photon condensation under grand canonical conditions.

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