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- W4313443501 abstract "We analyze the large-time asymptotics of a passive tracer with drift equal to the curl of the Gaussian free field in two dimensions with ultra-violet cut-off at scale unity. We prove that the mean-squared displacement scales like $t sqrt{ln t}$, as predicted in the physics literature and recently almost proved by the work of Cannizzaro, Haunschmidt-Sibitz, and Toninelli (2022), which uses mathematical-physics type analysis in Fock space. Our approach involves studying the effective diffusivity $lambda_{L}$ of the process with an infra-red cut-off at scale $L$, and is based on techniques from stochastic homogenization." @default.
- W4313443501 created "2023-01-06" @default.
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- W4313443501 date "2022-12-29" @default.
- W4313443501 modified "2023-09-25" @default.
- W4313443501 title "The Gaussian free-field as a stream function: asymptotics of effective diffusivity in infra-red cut-off" @default.
- W4313443501 doi "https://doi.org/10.48550/arxiv.2212.14244" @default.
- W4313443501 hasPublicationYear "2022" @default.
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