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arXiv · 1510.04776

Scaling Limit of Two-component Interacting Brownian Motions

Insuk Seo
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Abstract

This paper presents our study of the asymptotic behavior of a two-component system of Brownian motions undergoing certain singular interactions. In particular, the system is a combination of two different types of particles and the mechanical properties and interaction parameters depend on the corresponding type of particles. We prove that the hydrodynamic limit of the empirical densities of two types is the solution of a certain quasi-linear parabolic partial differential equation known as the Maxwell-Stefan equation.

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Insuk Seo. 2015-10-16. Scaling Limit of Two-component Interacting Brownian Motions. https://arxiv.org/abs/1510.04776

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