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談話会

タイトル	Macroscopic behavior for a chain of harmonic oscillators, perturbed by a stochastic noise
開催日時	2014年3月7日 15：00-15：50
主催者
講演者	Marielle Simon 氏　（ ENS Lyon, UMPA）
場所	14棟631A.B
内容	This talk focuses on scaling limits for interacting particle systems, evolving according to an energy-conservative dynamics. In a general context, one of the ultimate goals of statistical mechanics is to derive the macroscopic evolution of energy from a microscopic dynamics given by a chain of coupled oscillators. This is expected to hold through a diffusive space-time scaling limit. For the sake of clarity I will focus on one specific model, involving harmonic oscillators perturbed by a stochastic noise, provided with random i.i.d. masses. I will investigate the macroscopic behavior of this system under two different aspects: first, the hydrodynamic equations, and second, the macroscopic fluctuations of energy.
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