| Issue |
EPL
Volume 134, Number 4, June 2021
|
|
|---|---|---|
| Article Number | 40003 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/134/40003 | |
| Published online | 27 July 2021 | |
On the scaling properties of (2 + 1) directed polymers in the high-temperature limit
1 LPTMC, Sorbonne Université - Paris, France
2 L.D. Landau Institute for Theoretical Physics - Moscow, Russia
3 Joint Institute for High Temperatures, Russian Academy of Sciences - Moscow, Russia
(a) victor.dotsenko@sorbonne-universite.fr (corresponding author)
Received: 20 February 2021
Accepted: 19 March 2021
In this paper in terms of the replica method we consider the high-temperature limit of (
) directed polymers in a random potential and propose an approach which allows to compute the scaling exponent θ of the free energy fluctuations as well as the left tail of its probability distribution function. It is argued that 
which is different from the zero-temperature numerical value which is close to 0.241. This result implies that unlike the 
system in the two-dimensional case the free energy scaling exponent is non-universal being temperature dependent.
© 2021 EPLA
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