Alvise Bastianello
le 10 octobre 2024
Publié le 12 mai 2025– Mis à jour le 12 mai 2025
Séminaire Gunter SCHUTZ
Mode coupling theory for weakly driven systems
Jeudi 10 octobre 2024, 14h00, salle E4.13b
Gunter SCHUTZ
Institute for Advanced Simulation 2, Forschungszentrum Julich
Mode coupling theory for weakly driven systems
To study fluctuations in the interacting systems that are driven out of equilibrium by weak forces we develop a mesoscale mode coupling theory (MMCT) that allows for probing the crossover between different dynamical universality classes.
After discussing the main assumptions underlying mode coupling for nonlinear fluctuating hydrodynamics we consider in detail the crossover from the superdiffusive Kardar-Parisi-Zhang (KPZ) universality to the diffusive Edwards-Wilkinson (EW) universality class.
At the crossover point the dynamical structure function depends on mesoscopic scale on two scaling variables and converges at macroscopic scale to the conventional mode coupling approximation of KPZ universality.
This predicted fluctuation pattern confirms long-standing conjectures for $\kappa \leq 1/2$ and opens up the way for addressing crossover in systems with more than one conservation law
After discussing the main assumptions underlying mode coupling for nonlinear fluctuating hydrodynamics we consider in detail the crossover from the superdiffusive Kardar-Parisi-Zhang (KPZ) universality to the diffusive Edwards-Wilkinson (EW) universality class.
At the crossover point the dynamical structure function depends on mesoscopic scale on two scaling variables and converges at macroscopic scale to the conventional mode coupling approximation of KPZ universality.
This predicted fluctuation pattern confirms long-standing conjectures for $\kappa \leq 1/2$ and opens up the way for addressing crossover in systems with more than one conservation law