On two-time distribution functions in (1+1) random directed polymers
Victor Dotsenko
TL;DR
This paper derives an asymptotic expression for the two-time free energy distribution in (1+1) random directed polymers when the two observation times are close, advancing understanding of temporal correlations.
Contribution
It provides the first explicit asymptotic formula for the two-time distribution function in (1+1) directed polymers in the near-time limit.
Findings
Derived the asymptotic form of the two-time distribution function.
Identified the behavior of free energy correlations for close times.
Enhanced analytical understanding of temporal fluctuations in directed polymers.
Abstract
The asymptotic analytic expression for the two-time free energy distribution function in (1+1) random directed polymers is derived in the limit when the two times are close to each other
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