Long-ranged correlations in large deviations of local clustering.
Jack, Robert L
Phys Rev E
American Physical Society (APS)
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Dolezal, J., & Jack, R. L. (2021). Long-ranged correlations in large deviations of local clustering.. Phys Rev E, 103 (5-1), 052132. https://doi.org/10.1103/PhysRevE.103.052132
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.
Is supplemented by: https://doi.org/10.17863/CAM.69871
Engineering and Physical Sciences Research Council (EP/N509620/1)
External DOI: https://doi.org/10.1103/PhysRevE.103.052132
This record's URL: https://www.repository.cam.ac.uk/handle/1810/325155
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