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Long-ranged correlations in large deviations of local clustering.

Published version
Peer-reviewed

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Type

Article

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Authors

Dolezal, Jakub 
Jack, Robert L 

Abstract

In systems of diffusing particles, we investigate large deviations of a time-averaged measure of clustering around one particle. We focus on biased ensembles of trajectories, which realize large-deviation events. The bias acts on a single particle, but elicits a response that spans the whole system. We analyze this effect through the lens of macroscopic fluctuation theory, focusing on the coupling of the bias to hydrodynamic modes. This explains that the dynamical free energy has nontrivial scaling relationships with the system size, in 1 and 2 spatial dimensions. We show that the long-ranged response to a bias on one particle also has consequences when biasing two particles.

Description

Keywords

51 Physical Sciences, 5103 Classical Physics

Journal Title

Phys Rev E

Conference Name

Journal ISSN

2470-0045
2470-0053

Volume Title

103

Publisher

American Physical Society (APS)

Rights

All rights reserved
Sponsorship
Engineering and Physical Sciences Research Council (EP/N509620/1)
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