One-Dimensional Kardar-Parisi-Zhang (KPZ) Equation and its Universality
Bures-sur-Yvette | Updated: March 17, 2024 02:09 AM
Location: Institut des Hautes Études Scientifiques
Address: 35 Route de Chartres, 91440 Bures-sur-Yvette, France
Date: 01 March
Probability and analysis informal seminarIn 1986, Kardar, Parisi and Zhang introduced a model equation for a growing surface, in the form of a nonlinear partial differential equation with noise[1]. In the original paper they applied a dynamical renormalization group analysis to demonstrate its universal nature, which is one of the first identified non-equilibrium universality classes (KPZ universality class). Since then their equation (KPZ equation) has been accepted as a standard model in non-equilibrium statistical mechanics. In this talk, we focus on its one dimensional version because it has attracted particular attention in the last decade or so. Mathematically there had been an issue of well-definendness of the equation itself, which was solved by a few different ideas. There is also a high precision experiment using liquid crystal. An important step was the discovery of an exact solution in 2010[2], which confirmed that the height fluctuation is of O(t^(1/3)) and its universal d… l
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Institut des Hautes Études Scientifiques, 35 Route de Chartres, 91440 Bures-sur-Yvette, France
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One-Dimensional Kardar-Parisi-Zhang (KPZ) Equation and its Universality is scheduled for 01 March.
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