3 papers
math-ph2026
Finite-Time Transition to Intermittency for a Stochastic Heat Equation Driven by the Square of a Gaussian Field
Philippe Mounaix
In this paper, we study the spatial behavior of the solution to the stochastic heat equation $\partial_tÏ(x,t)-\frac{1}{2}\partial^2_{x^2} Ï(x,t)=g\, S(x,t)^2\, Ï(x,t)…
physics.plasm-ph2025
From the Rose-DuBois Ansatz of Hot Spot Fields to the Instanton Solution: a Pedestrian Presentation
Philippe Mounaix
This paper gives a pedestrian presentation of some technical results recently published in mathematical physics with non-trivial implications for laser-plasma interaction. The aim…
cond-mat.stat-mech2024
Testing the Instanton Approach to the Large Amplification Limit of a Diffraction-Amplification Problem
Philippe Mounaix
The validity of the instanton analysis approach is tested numerically in the case of the diffraction-amplification problem $\partial_zÏ-\frac{i}{2m}\partial^2_{x^2} Ï=g\vert S\ve…