Stochastic features of dissipative large-amplitude dynamics and nuclear fission

TL;DR

This paper develops a non-Markovian stochastic framework for nuclear fission dynamics, incorporating memory effects into Langevin equations, and applies it to barrier descent, thermal diffusion, and external modulation scenarios.

Contribution

It introduces a non-Markovian generalization of Kramers' escape rate theory and explores time-dependent features of nuclear collective motion.

Findings

Derived non-Markovian Langevin equations for nuclear dynamics.

Extended Kramers' theory to include memory effects.

Analyzed time features of collective motion under external modulation.

Abstract

Within a density matrix approach for nuclear many--body system, it is derived non--Markovian Langevin equations of motion for nuclear collective parameters, where memory effects are defined by memory time. The developed stochastic approach is applied to study both the nuclear descent from fission barrier to a scission point and thermal diffusive overcoming of the barrier. The present paper is partly a review of our results obtained earlier and contains new results on the non--Markovian generalization of Kramers' theory of escape rate and on time features of the collective dynamics in the presence of periodic external modulation.