Long-ranged correlations in large deviations of local clustering.
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
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
2470-0053
Volume Title
103
Publisher
American Physical Society (APS)
Publisher DOI
Rights
All rights reserved
Sponsorship
Engineering and Physical Sciences Research Council (EP/N509620/1)