Toninelli, F. L. (2022, June 24). Logarithmic super-diffusivity for 2-dimensional out of equilibrium systems [Conference Presentation]. Quantum many body system and interacting particles: in honor of Herbert Spohn, Münster, Germany.
Quantum many body system and interacting particles: in honor of Herbert Spohn
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Event date:
20-Jun-2022 - 24-Jun-2022
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Event place:
Münster, Germany
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Keywords:
anisotropic KPZ
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Abstract:
Logarithmic corrections to super-diffusivity have been conjectured to occur in several 2-dimensional out-of-equilibrium systems (interacting particle systems, self-interacting diffusions, tracers in fluids etc). A famous case where this has been predicted (by van Beijeren-Kutner-Spohn) and then proven (by Yau) is 2-dimensional Asymmetric Simple Exclusion Process (ASEP). I will present recent results with G. Cannizzaro, D. Erhard and L. Haunschmid on logarithmic superdiffusion for a 2d Brownian particle in divergence-free random field, and for the 2d anisotropic KPZ equation.
