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
2019-01-01

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
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
File in questo prodotto:
File Dimensione Formato  
75-JStatMech.2019.104001.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 1.3 MB
Formato Adobe PDF
1.3 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/103594
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact