🚨 New #preprint !

We study a stochastic PDE whose solutions want to be close to constant -1 or +1. But because it’s stochastic, the solutions occasionally jump between those two optima. How often, on average?

In technical terms, we study a certain nonlinear wave equation whose invariant measure is the \( \phi^4 \) #QuantumFieldTheory. The average transition time is called an Eyring–Kramers law, asymptotic in the low-temperature limit. It has already been derived for 2D stochastic heat equation and 1D wave; we extend it to 2D and 3D wave equations.

Joint work with my PhD advisor Nikolay Barashkov. #MathematicalPhysics #MathPhys

https://arxiv.org/abs/2410.03495

Hi everyone!. I have been on Mastodon for a couple of years but never did a proper #introduction. So here it goes...

I am Guillermo, a #physicist from #Chile working at the University of Concepción, mainly interested in General Relativity.

I typically teach #GR, #Electrodynamics, #MathPhys and also Linux+LaTeX+Python for first year students.

I will be posting mainly about #physics, #python, #LaTeX and #linux, both in English and in Spanish. I can also communicate in German and Portuguese.