# Kramers problem for a dimer: effect of noise correlations

## TL;DR

This paper investigates how correlated noise influences the escape dynamics of a dimer in a bistable potential, revealing the impact of noise correlation and coupling on first passage times and polymer behavior.

## Contribution

It introduces an analysis of Kramers problem for a dimer with correlated noise, including the strong coupling limit and implications for polymer dynamics.

## Key findings

- First passage time distribution has exponential tails influenced by noise correlation.
- Strong coupling leads to relaxation on the same timescale as escape time.
- Implications for polymer dynamics in potential are discussed.

## Abstract

Kramers problem for a dimer in a bistable piecewise linear potential is studied in the presence of correlated noise processes. The distribution of first passage times from one minima to the basin of attraction of the other minima is found to have exponentially decaying tails with the parameter dependent on the amount of correlation and the coupling between the particles. Strong coupling limit of the problem is analyzed using adiabatic elimination, where it is found that the initial probability density relaxes towards stationary value on the same time scale as the mean escape time. The implications towards polymer dynamics in a potential are discussed.