[Landau ITP Seminars] Friday 02.11.2018

[Serge Krashakov]

Уважаемые сотрудники ИТФ,

На заседании Ученого совета в пятницу 2 ноября будет заслушан доклад:

Victor Dotsenko
Two-temperature statistics of free energies in (1+1) directed polymers

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 
free energies differenceon the two temperatures T1
and T2is derived. In particular, it is shown that if the two 
temperatures T1<T2are close to each other the typical value of the 
fluctuating part of the free energies difference is proportional to 
(1−T1/T2)1/3. It is also shown that the left tail asymptotics of this 
free energy difference probability distribution function coincides with 
the corresponding tail of the Tracy-Widom distribution.
Europhysics Letters, 116, 40004 (2016); arXiv:1703.04305
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