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arXiv · 2002.12841

Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs

Cedric Bernardin·Patricia Goncalves·Milton Jara·Stefano Scotta
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Abstract

We provide a complete description of the equilibrium fluctuations for diffusive symmetric exclusion processes with long jumps in contact with infinitely extended reservoirs and prove that they behave as generalized Ornstein-Uhlenbeck processes with various boundary conditions, depending mainly on the strength of the reservoirs. On the way, we also give a general statement about uniqueness of the Ornstein-Uhlenbeck process originated by the microscopic dynamics of the underlying interacting particle systems and adapt it to our study.

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Cedric Bernardin, Patricia Goncalves, Milton Jara, Stefano Scotta. 2020-02-28. Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs. https://arxiv.org/abs/2002.12841

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