Volume 116, Number 4, November 2016
|Number of page(s)||5|
|Published online||03 January 2017|
Two-temperature statistics of free energies in (1 + 1) directed polymers
LPTMC, Université Paris VI - Paris, France and L.D. Landau Institute for Theoretical Physics - Moscow, Russia
Received: 25 November 2016
Accepted: 19 December 2016
The joint statistical properties of two free energies computed at two different temperatures in the same sample of (1 + 1) directed polymers is studied in terms of the replica technique. The scaling dependence of the reduced free-energies difference on the two temperatures T1 and T2 is derived. In particular, it is shown that if the two temperatures are close to each other, the typical value of the fluctuating part of the reduced free-energies difference is proportional to . It is also shown that the left-tail asymptotics of this free-energy difference probability distribution function coincides with the corresponding tail of the TW distribution.
PACS: 05.20.-y – Classical statistical mechanics / 75.10.Nr – Spin-glass and other random models / 61.41.+e – Polymers, elastomers, and plastics
© EPLA, 2016
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