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The Emergence of Laplace Universality in Correlated Processes

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arxiv 2410.23112 v1 pith:ICFUPTZ3 submitted 2024-10-30 cond-mat.stat-mech cond-mat.soft

R. K. Singh , Stanislav Burov This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.soft
keywords correlationsbehavioreventslaplaceprocessesraretailscorrelated
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In transport processes across materials like glasses, living cells, and porous media, the probability density function of displacements exhibits exponential decay rather than Gaussian behavior. We show that this universal behavior of rare events, termed Laplace tails, emerges even when correlations and memory affect the dynamics. Using a renormalization-based approach, we demonstrate that correlations and memory do not suppress these tails but rather enhance their visibility, even at short timescales. The developed analytical framework refines the concept of correlations for rare events and enables the computation of effective parameters that govern Laplace tails in correlated processes. These findings suggest that correlations can serve as a tunable parameter to control the behavior of rare events in transport.

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Cited by 3 Pith papers

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  3. Nonequilibrium steady state of Brownian motion in an intermittent potential

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