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Title: Critical density of a soliton gas

We quantify the notion of a dense soliton gas by establishing an upper bound for the integrated density of states of the quantum-mechanical Schrödinger operator associated with the Korteweg–de Vries soliton gas dynamics. As a by-product of our derivation, we find the speed of sound in the soliton gas with Gaussian spectral distribution function.
Authors:
 [1]
  1. Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU (United Kingdom)
Publication Date:
OSTI Identifier:
22482325
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 26; Journal Issue: 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DENSITY OF STATES; DISTRIBUTION FUNCTIONS; QUANTUM MECHANICS; SOLITONS; SOUND WAVES