Fluctuations, large deviations and rigidity in hyperuniform systems: A brief survey

Subhroshekhar Ghosh () and Joel L. Lebowitz ()
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Subhroshekhar Ghosh: National University of Singapore
Joel L. Lebowitz: The State University of New Jersy

Indian Journal of Pure and Applied Mathematics, 2017, vol. 48, issue 4, 609-631

Abstract: Abstract We present a brief survey of fluctuations and large deviations of particle systems with subextensive growth of the variance. These are called hyperuniform (or superhomogeneous) systems. We then discuss the relation between hyperuniformity and rigidity. In particular we give sufficient conditions for rigidity of such systems in d = 1, 2.

Keywords: Point processes; reduced density fluctuations; decay of correlations; number rigidity; one and two dimensions; hyperuniform systems; Coulomb gas; rigidity; DLR equations; G processes; Gaussian zeros (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13226-017-0248-1

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