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Rahul Dandekar (Institut de Physique Theorique, CEA, CNRS, France)
Date & Time
Wed, 04 January 2023, 16:00 to 17:00
Feynman Lecture Hall and Online

We apply the formalism used to study tagged particle fluctuations in stochastic particle systems to systems with long-ranged interactions. As a concrete example, we study the dynamical properties of a gas whose particles interact with each other through the potential (|x-y|)^{-s}, and are also subject to thermal noises. This corresponds to the Riesz gas at finite temperature. We consider the gas confined in a very shallow potential, and show that the fluctuations of a particle initially at the origin grow with time as t^{s/2(s+1)} for 0<s<1, that is, slower than for short-ranged interacting systems. We also show that for s>1, the fluctuations are effectively governed by short-ranged dynamics and grow as t^{1/4}.

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Meeting ID: 846 7024 4863
Passcode: 040422