Nonperturbative fluctuations and metastability in a simple model: from observables to microscopic theory and back - Sorbonne Université Access content directly
Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2016

Nonperturbative fluctuations and metastability in a simple model: from observables to microscopic theory and back

Abstract

Slow dynamics in glassy systems is often interpreted as due to thermally activated events between 'metastable' states. This emphasises the role of nonperturbative fluctuations, which is especially dramatic when these fluctuations destroy a putative phase transition predicted at the mean-field level. To gain insight into such hard problems, we consider the implementation of a generic back-and-forth process, between microscopic theory and observable behaviour via effective theories, in a toy model that is simple enough to allow for a thorough investigation: the one-dimensional ${{\varphi}^{4}}$ theory at low temperature. We consider two ways of restricting the extent of the fluctuations, which both lead to a nonconvex effective potential (or free energy): either through a finite-size system or by means of a running infrared cutoff within the nonperturbative renormalisation group formalism. We discuss the physical insight one can get and the ways to treat strongly nonperturbative fluctuations in this context.

Dates and versions

hal-01300499 , version 1 (11-04-2016)

Identifiers

Cite

C Rulquin, Pierfrancesco Urbani, G Biroli, G Tarjus, M Tarzia. Nonperturbative fluctuations and metastability in a simple model: from observables to microscopic theory and back. Journal of Statistical Mechanics: Theory and Experiment, 2016, 2016 (2), pp.023209 ⟨10.1088/1742-5468/2016/02/023209⟩. ⟨hal-01300499⟩
99 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More