Aging and Effective Temperatures Near a Critical Point

Joubaud, Sylvain; Percier, Baptiste; Petrosyan, Artyom; Ciliberto, S.

doi:10.1103/physrevlett.102.130601

Cited by 20 publications

(19 citation statements)

References 25 publications

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“…The restricted average using the Gaussian PDF then naturally provides a slope tan θ = −V Cχ /V C that is different from tan φ, see Eq. (34). As shown in Fig.…”

Section: Discussionmentioning

confidence: 82%

Fluctuations and effective temperatures in coarsening

Corberi

Cugliandolo

2009

J. Stat. Mech.

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We study dynamic fluctuations in non-disordered finite dimensional ferromagnetic systems quenched to the critical point and the low-temperature phase. We investigate the fluctuations of two two-time quantities, called χ and C, the averages of which yield the self linear response and correlation function. We introduce a restricted average of the χ's, summing over all configurations with a given value of C. We find that the restricted average χ C obeys a scaling form, and that the slope of the scaling function approaches the universal value X∞ of the limiting effective temperature in the long-time limit and for C → 0. Our results tend to confirm the expectation that time-reparametrization invariance is not realized in coarsening systems at criticality. Finally, we discuss possible experimental tests of our proposal.

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“…The restricted average using the Gaussian PDF then naturally provides a slope tan θ = −V Cχ /V C that is different from tan φ, see Eq. (34). As shown in Fig.…”

Section: Discussionmentioning

confidence: 82%

Fluctuations and effective temperatures in coarsening

Corberi

Cugliandolo

2009

J. Stat. Mech.

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“…Finally, having a non-trivial value of X ∞ for global observables suggests that the possibility to define an effective temperature remains valid, but it has become a more complicated object, related to global fluctuations on large lengthscale. The first experimental determination of the value of X ∞ near a critical point was reported only very recently in a system of liquid crystals, where the director is the relevant fluctuating observable (Joubaud et al, 2009). An intriguing value X ∞ ≃ 0.31 was reported, which has received, to our knowledge, no theoretical justification (Calabrese and Gambassi, 2005).…”

Section: Beyond Mean-field: Experiments Critical Points and Kinetmentioning

confidence: 99%

Theoretical perspective on the glass transition and amorphous materials

2011

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We provide a theoretical perspective on the glass transition in molecular liquids at thermal equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials, and on the rheology of soft glassy materials. We start with a broad introduction to the field and emphasize its connections with other subjects and its relevance. The important role played by computer simulations to study and understand the dynamics of systems close to the glass transition at the molecular level is spelled out. We review the recent progress on the subject of the spatially heterogeneous dynamics that characterizes structural relaxation in materials with slow dynamics. We then present the main theoretical approaches describing the glass transition in supercooled liquids, focusing on theories that have a microscopic, statistical mechanics basis. We describe both successes and failures, and critically assess the current status of each of these approaches. The physics of aging dynamics in disordered materials and the rheology of soft glassy materials are then discussed, and recent theoretical progress is described. For each section, we give an extensive overview of the most recent advances, but we also describe in some detail the important open problems that, we believe, will occupy a central place in this field in the coming years.Comment: 68 pages; 21 figs; 481 reference

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“…Surface dynamics in condensed matter systems, instead, have not been observed until recently, though with a different purpose and not in the critical regime [28]. Extending recent investigations of ageing phenomena in liquid crystals [29] to the proximity of surfaces might provide a viable alternative for the experimental test of the present predictions in systems undergoing an Ising transition.…”

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confidence: 99%

Collective non-equilibrium dynamics at surfaces and the spatio-temporal edge

Marcuzzi

Gambassi

Pleimling

2012

EPL

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Symmetries represent a fundamental constraint for physical systems and relevant new phenomena often emerge as a consequence of their breaking. An important example is provided by spaceand time-translational invariance in statistical systems, which hold at a coarse-grained scale in equilibrium and are broken by spatial and temporal boundaries, the former being implemented by surfaces -unavoidable in real samples -the latter by some initial condition for the dynamics which causes a non-equilibrium evolution. While the separate effects of these two boundaries are well understood, we demonstrate here that additional, unexpected features arise upon approaching the effective edge formed by their intersection. For this purpose, we focus on the classical semi-infinite Ising model with spin-flip dynamics evolving out of equilibrium at its critical point. Considering both subcritical and critical values of the coupling among surface spins, we present numerical evidence of a scaling regime with universal features which emerges upon approaching the spatio-temporal edge and we rationalise these findings within a field-theoretical approach.PACS numbers: 64.60. De, 64.60.Ht, 68.35.Rh Introduction -Thanks to the advances in miniaturisation of the past decades, devices have reached a size at which boundary effects cannot be neglected; in parallel, the physics of surfaces and interfaces has attracted an increasing interest, in particular concerning non-equilibrium dynamical processes, as many applications involve sudden changes in control parameters. Typically, describing these processes requires knowledge of the many microscopic details that vary widely from system to system. However, in suitable circumstances, collective phenomena emerge which make only few coarse-grained, mesoscopic properties relevant for the dynamics: in fact, it is now well-established, both theoretically and experimentally, that the behaviour of a statistical system close to a continuous phase transition can be characterised by few quantities, such as exponents and scaling functions, which depend only on the range and symmetries of the underlying interaction and on the dimensionality of the space. All the microscopically different systems sharing these same gross features form the so-called universality class of the transition. Within each of these classes, the various thermodynamic and structural properties typically show, in the neighbourhood of the critical point, leading algebraic behaviours characterised by common exponents, which constitute the hallmark of the transition. In turn, upon approaching it, the relevant contribution to the various thermodynamic quantities is effectively determined by the fluctuations of the so-called order parameter ϕ (e.g., the local magnetisation for an Ising ferromagnet).

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Aging and Effective Temperatures Near a Critical Point

Cited by 20 publications

References 25 publications

Fluctuations and effective temperatures in coarsening

Fluctuations and effective temperatures in coarsening

Theoretical perspective on the glass transition and amorphous materials

Collective non-equilibrium dynamics at surfaces and the spatio-temporal edge

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