On the transient fluctuation dissipation theorem after a quench at a critical point

The Modified Fluctuation Dissipation Theorem (MFDT) proposed by G. Verley et al. (EPL, 93 (2011) 10002) for non-equilibrium transient states is experimentally studied. We apply MFDT to the transient relaxation dynamics of the director of a liquid crystal after a quench close to the critical point of...

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Bibliographic Details
Published in:Europhysics letters 2015-08, Vol.111 (4), p.40013-p1-40013-p6
Main Authors: Theurkauff, Isaac, Caussarieu, Aude, Petrosyan, Artyom, Ciliberto, Sergio
Format: Article
Language:English
Subjects:
05.40.-a
05.70.Jk
64.60.-i
Aging (materials)
Critical point
Dissipation
Dynamical systems
Dynamics
Electric fields
Fluctuation
Freedericksz transitions
Liquid crystals
Mathematical analysis
Phase transitions
Theorems
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Summary:The Modified Fluctuation Dissipation Theorem (MFDT) proposed by G. Verley et al. (EPL, 93 (2011) 10002) for non-equilibrium transient states is experimentally studied. We apply MFDT to the transient relaxation dynamics of the director of a liquid crystal after a quench close to the critical point of the Fréedericksz Transition (FrTr), which has several properties of a second-order phase transition driven by an electric field. Although the standard Fluctuation Dissipation Theorem (FDT) is not satisfied, because the system is strongly out of equilibrium, the MFDT is perfectly verified during the transient in a system which is only partially described by a Landau-Ginzburg (LG) equation, to which our observations are compared. The results can be useful in the study of material aging.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/111/40013