2 papers
math-ph2025
Metastable transition times of the 1D dynamical sine-Gordon model
Petri Laarne
We study the dynamics of a stochastic heat equation with nonlinearity on one-dimensional torus. We show an Eyring--Kramers law for the jump rate between potential wells…
math.AP2024
Eyring--Kramers law for the hyperbolic model
Nikolay Barashkov, Petri Laarne
We study the expected transition frequency between the two metastable states of a stochastic wave equation with double-well potential. By transition state theory, the frequency fac…