We study the fluctuations of the Gaussian model, with conservation of the order parameter, evolving in contact with a thermal bath quenched from an initial inverse temperature eta_i to a final one eta_f. At every time there exists a critical value s_c(t) of the variance s of the order parameter per degree of freedom such that the fluctuations with s > s_c(t) are characterized by a macroscopic contribution of the zero wavevector mode, similarly to what occurs in an ordinary condensation transition. We show that the probability of fluctuations with s < inf_t[s_c(t)], for which condensation never occurs, rapidly converges towards a stationary behavior. By contrast, the process of populating the zero wavevector mode of the variance, which takes place for s > inf_t[s_c(t)], induces a slow non-equilibrium dynamics resembling that of systems quenched across a phase transition.

Dynamics of fluctuations in the Gaussian model with conserved dynamics / Corberi, Federico; Mazzarisi, Onofrio; Gambassi, Andrea. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2019:10(2019), pp. 1-18. [10.1088/1742-5468/ab3bc7]

Dynamics of fluctuations in the Gaussian model with conserved dynamics

Gambassi, Andrea
2019

Abstract

We study the fluctuations of the Gaussian model, with conservation of the order parameter, evolving in contact with a thermal bath quenched from an initial inverse temperature eta_i to a final one eta_f. At every time there exists a critical value s_c(t) of the variance s of the order parameter per degree of freedom such that the fluctuations with s > s_c(t) are characterized by a macroscopic contribution of the zero wavevector mode, similarly to what occurs in an ordinary condensation transition. We show that the probability of fluctuations with s < inf_t[s_c(t)], for which condensation never occurs, rapidly converges towards a stationary behavior. By contrast, the process of populating the zero wavevector mode of the variance, which takes place for s > inf_t[s_c(t)], induces a slow non-equilibrium dynamics resembling that of systems quenched across a phase transition.
2019
10
1
18
104001
https://doi.org/10.1088/1742-5468/ab3bc7
https://arxiv.org/abs/1905.08536v1
Corberi, Federico; Mazzarisi, Onofrio; Gambassi, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/103594
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