CORDIS Project
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This project investigates the behavior of systems near critical points using nonlinear stochastic partial differential equations. It aims to develop a mathematical framework to rigorously analyze these systems, enhancing understanding of phenomena like phase transitions and interface growth.
One of the main challenges of modern mathematical physics is to understand the behaviour of systems at or near criticality.
In a number of cases, one can argue heuristically that this behaviour should be described by a nonlinear stochastic partial differential equation.
Some examples of systems of interest are models of phase coexistence near the critical temperature, one-dimensional interface growth models, and models of absorption of a diffusing particle by random impurities.
Unfortunately, th…
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