We study the dynamics of the fluctuations of the variance s of the order parameter of the Gaussian model, following a temperature quench of the thermal bath. At each time t, there is a critical value sc (t) of s such that fluctuations with s > s(c)(t) are realized by condensed configurations of the systems, i.e., a single degree of freedom contributes macroscopically to s. This phenomenon, which is closely related to the usual condensation occurring on average quantities, is usually referred to as condensation of fluctuations. We show that the probability of fluctuations with s < inf(t){[}sc (t)], associated to configurations that never condense, after the quench converges rapidly and in an adiabatic way towards the new equilibrium value. The probability of fluctuations with s > inf(t){[}sc (t)], instead, displays a slow and more complex behavior, because the macroscopic population of the condensing degree of freedom is involved.

Dynamics of fluctuations in the Gaussian model with dissipative Langevin Dynamics / Corberi, F.; Mazzarisi, O.; Gambassi, A.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6596. - 1548:(2020), pp. 1-6. ((Intervento presentato al convegno 10th Young Researcher Meeting [10.1088/1742-6596/1548/1/012027].

Dynamics of fluctuations in the Gaussian model with dissipative Langevin Dynamics

A. Gambassi
2020

Abstract

We study the dynamics of the fluctuations of the variance s of the order parameter of the Gaussian model, following a temperature quench of the thermal bath. At each time t, there is a critical value sc (t) of s such that fluctuations with s > s(c)(t) are realized by condensed configurations of the systems, i.e., a single degree of freedom contributes macroscopically to s. This phenomenon, which is closely related to the usual condensation occurring on average quantities, is usually referred to as condensation of fluctuations. We show that the probability of fluctuations with s < inf(t){[}sc (t)], associated to configurations that never condense, after the quench converges rapidly and in an adiabatic way towards the new equilibrium value. The probability of fluctuations with s > inf(t){[}sc (t)], instead, displays a slow and more complex behavior, because the macroscopic population of the condensing degree of freedom is involved.
10TH YOUNG RESEARCHER MEETING
1548
1
6
https://iopscience.iop.org/article/10.1088/1742-6596/1548/1/012027
IOP PUBLISHING LTD
Corberi, F.; Mazzarisi, O.; Gambassi, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/116540
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