-Superdiffusivity for a Brownian particle in the curl of the 2D GFF
G Cannizzaro, L Haunschmid-Sibitz… - The Annals of …, 2022 - projecteuclid.org
The present work is devoted to the study of the large time behaviour of a critical Brownian
diffusion in two dimensions, whose drift is divergence-free, ergodic and given by the curl of
the 2-dimensional Gaussian free field. We prove the conjecture, made in (J. Stat. Phys. 147
(2012) 113–131), according to which the diffusion coefficient D (t) diverges as log t for t→∞.
Starting from the fundamental work by Alder and Wainwright (Phys. Rev. Lett. 18 (1967) 988–
990), logarithmically superdiffusive behaviour has been predicted to occur for a wide variety …
diffusion in two dimensions, whose drift is divergence-free, ergodic and given by the curl of
the 2-dimensional Gaussian free field. We prove the conjecture, made in (J. Stat. Phys. 147
(2012) 113–131), according to which the diffusion coefficient D (t) diverges as log t for t→∞.
Starting from the fundamental work by Alder and Wainwright (Phys. Rev. Lett. 18 (1967) 988–
990), logarithmically superdiffusive behaviour has been predicted to occur for a wide variety …
[引用][C] √ log t-superdiffusivity for a Brownian particle in the curl of the 2d GFF
LA Haunschmid-Sibitz - 2022 - repositum.tuwien.at
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√ log t-superdiffusivity for a Brownian particle in the curl of the 2d GFF …
√ log t-superdiffusivity for a Brownian particle in the curl of the 2d GFF …
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