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- W4382765993 abstract "We consider a system of non-interacting Brownian particles on a line with a step-like initial condition and investigate the behavior of the local time at the origin at large times. We compute the mean and the variance of the local time and show that the memory effects are governed by the Fano factor associated to the initial condition. For the uniform initial condition, we show that the probability distribution of the local time admits large deviation form and compute the corresponding large deviation functions for the annealed and quenched averaging schemes. The two resulting large deviation functions are very different. Our analytical results are supported by extensive numerical simulations." @default.
- W4382765993 created "2023-07-01" @default.
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- W4382765993 date "2023-06-29" @default.
- W4382765993 modified "2023-10-13" @default.
- W4382765993 title "Local time of a system of Brownian particles on the line with step-like initial condition" @default.
- W4382765993 doi "https://doi.org/10.48550/arxiv.2306.16882" @default.
- W4382765993 hasPublicationYear "2023" @default.
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