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Article Dans Une Revue Physical Review Letters Année : 2023

Extreme Statistics and Spacing Distribution in a Brownian Gas Correlated by Resetting

Résumé

We study a one-dimensional gas of $N$ Brownian particles that diffuse independently, but are {\it simultaneously} reset to the origin at a constant rate $r$. The system approaches a non-equilibrium stationary state (NESS) with long-range interactions induced by the simultaneous resetting. Despite the presence of strong correlations, we show that several observables can be computed exactly, which include the global average density, the distribution of the position of the $k$-th rightmost particle and the spacing distribution between two successive particles. Our analytical results are confirmed by numerical simulations. We also discuss a possible experimental realisation of this resetting gas using optical traps.
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Dates et versions

hal-04172868 , version 1 (16-12-2023)

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Marco Biroli, Hernan Larralde, Satya Majumdar, Grégory Schehr. Extreme Statistics and Spacing Distribution in a Brownian Gas Correlated by Resetting. Physical Review Letters, 2023, 130 (20), pp.207101. ⟨10.1103/PhysRevLett.130.207101⟩. ⟨hal-04172868⟩
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