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The replica method in liquid theory: from the basics to explicit computations

by Corrado Rainone

Submission summary

As Contributors: Corrado Rainone
Arxiv Link:
Date submitted: 2017-09-10
Submitted by: Rainone, Corrado
Submitted to: SciPost Physics Lecture Notes
Domain(s): Theoretical
Subject area: Statistical and Soft Matter Physics


In these notes we introduce briefly the fundamentals of the replica method in the context of liquid theory and the structural glass problem. In particular, we explain and show its usefulness as a computation framework in the context of the Random First Order Transition (RFOT) theory of the glass transition, whose defining points the reader is assumed to know. We shall give the intuitive idea of how and why the replica method is suitable for the description of the glass transition (the dynamical glass transition in particular) in real liquids, and then show how it can be used to make explicit computations and predictions that can be compared to experiments and numerical simulations.

Current status:

Editor-in-charge assigned, manuscript under review

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