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J Chem Phys. 2019 Apr 21;150(15):154504. doi: 10.1063/1.5088811.

Revisiting the replica theory of the liquid to ideal glass transition.

The Journal of chemical physics

Jean-Marc Bomont, Jean-Pierre Hansen, Giorgio Pastore

Affiliations

  1. Université de Lorraine, LCP-A2MC, EA 3469, 1 Blvd. François Arago, Metz F-57078, France.
  2. Université Pierre et Marie Curie, UMR 8234 PHENIX, Paris, France and Department of Chemistry, University of Cambridge, Cambridge CB2 1EW, United Kingdom.
  3. Università di Trieste, Dipartimento di Fisica, Strada Costiera 11, 34151 Grignano, Trieste, Italy.

PMID: 31005075 DOI: 10.1063/1.5088811

Abstract

The replica theory of the "Random First Order Transition" (RFOT) from a supercooled liquid to an "ideal" glass of a system of "soft spheres" is revisited. Following the seminal work of Mézard and Parisi [J. Chem. Phys. 111, 1076 (1999)], the number m of weakly interacting replicas of the system is varied continuously from m = 2 to m < 1. Relevant order parameters and the free energy of the liquid and glass phases are calculated using the hypernetted chain (HNC) approximation for the pair correlation functions. The scenario observed for all m confirms the existence of two glass branches G

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