Verga, Grovanni. <i>I Malavoglia</i>. Edited, with introduction, notes and vocabulary, by M. D. Woolf. Manchester University Press, 1972

Chandler, S. Bernard

doi:10.3138/cmlr.29.4.80

Cited by 15 publications

(24 citation statements)

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“…-Using linear response theory at equilibrium, one can prove that the response of a system to an infinitesimal external perturbation is related to the spontaneous fluctuations of its conjugate observable via the fluctuation-dissipation theorem (FDT) [1]. Consider a system perturbed at time t = 0 by an external field of constant amplitude f 0 coupled to an observable B.…”

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confidence: 99%

“…-Statistical mechanics provides a unified theoretical description of systems at thermal equilibrium in terms of the probability distribution over phase space, from which thermodynamic quantities such as temperature can be defined [1]. A similar framework is lacking for out-of-equilibrium systems for which the definition of a temperature remains an open issue [2].…”

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confidence: 99%

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From single-particle to collective effective temperatures in an active fluid of self-propelled particles

Levis¹,

Berthier²

2015

EPL

101

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-We present a comprehensive analysis of effective temperatures based on fluctuationdissipation relations in a model of an active fluid composed of self-propelled hard disks. We first investigate the relevance of effective temperatures in the dilute and moderately dense fluids. We find that a unique effective temperature does not in general characterize the non-equilibrium dynamics of the active fluid over this broad range of densities, because fluctuation-dissipation relations yield a lengthscale-dependent effective temperature. By contrast, we find that the approach to a non-equilibrium glass transition at very large densities is accompanied by the emergence of a unique effective temperature shared by fluctuations at all lengthscales. This suggests that an effective thermal dynamics generically emerges at long times in very dense suspensions of active particles due to the collective freezing occurring at non-equilibrium glass transitions.Introduction. -Statistical mechanics provides a unified theoretical description of systems at thermal equilibrium in terms of the probability distribution over phase space, from which thermodynamic quantities such as temperature can be defined [1]. A similar framework is lacking for out-of-equilibrium systems for which the definition of a temperature remains an open issue [2]. Active matter formed by assemblies of living cells [3], bacteria [4], selfpropelled colloids [5][6][7][8] or grains [9,10], is a coherent class of non-equilibrium systems receiving increasing attention, because they raise fundamental issues and for potential applications in soft matter and biophysics [11,12]. A number of recent studies have addressed the question of whether "effective" thermodynamic concepts can be fruitfully applied to describe the phase behaviour and microscopic dynamics of active matter. This question is natural because if some mapping to an equilibrium situation exists, then the whole arsenal of equilibrium statistical mechanics becomes available for further theoretical treatment. In particular the definition of a non-equilibrium temperature [13][14][15][16][17][18], of an active pressure [8,19,20], of activityinduced interactions [8,21] and non-equilibrium free energies [22,23] have been investigated for self-propelled particles.

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confidence: 99%

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confidence: 99%

From single-particle to collective effective temperatures in an active fluid of self-propelled particles

Levis¹,

Berthier²

2015

EPL

101

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“…A weak quench then results in a local smearing of the initial wave function over the narrow set of new eigenstates, given by the function f m ′ (m), so that 'microcanonical thermalization' can be expected [4,10,11,19,20]. Microcanonical thermalization implies that a closed quantum system is transformed into a new state, which satisfy Boltzmann's postulate of equal a priori probability [16], here applied to the quantum states within an energy shell [21]. Evidence that this may indeed be expected under quite general conditions [8,23,24] is nowadays discussed under the label "quantum typicality" [25,26].…”

Section: Equilibration Induced By Equipartitionmentioning

confidence: 99%

“…We define the energy shells of the composite system in the product basis {|Ψ 0 m } by using the condition |E m − E| < δ [16]. The constant δ is chosen small with respect to the spectral width, δ ≪ ∆ǫ, but still larger than the mean level spacing of the composite system, δ ≫ 2∆ǫ/(N − 1), with N = N × N energy levels.…”

Section: Equilibration Induced By Equipartitionmentioning

confidence: 99%

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Quantum thermal equilibration from equipartition

Пономарев¹,

Денисов²,

Hänggi³

et al. 2012

EPL

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The problem of mutual equilibration between two finite, identical quantum systems, A and B, prepared initially at different temperatures is elucidated. We show that the process of energy exchange between the two systems leads to accurate equipartition within energy shells in the Hilbert space of the total non-interacting, composite system, A ⊗ B. This scenario occurs under the general condition of a weak interaction between the systems. We predict that the sole hypothesis of such equipartition is sufficient to obtain a relaxation of the peers, A and B, towards a common thermallike state. This conjecture is fully corroborated by an exact diagonalization of several quantum models.

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Strongly correlating liquids and their isomorphs

Pedersen

Gnan

Bailey

et al. 2011

Journal of Non-Crystalline Solids

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This paper summarizes the properties of strongly correlating liquids, i.e., liquids with strong correlations between virial and potential energy equilibrium fluctuations at constant volume. We proceed to focus on the experimental predictions for strongly correlating glass-forming liquids. These predictions include i) density scaling, ii) isochronal superposition, iii) that there is a single function from which all frequency-dependent viscoelastic response functions may be calculated, iv) that strongly correlating liquids are approximately single-parameter liquids with close to unity PrigogineDefay ratio, and v) that the fictive temperature initially decreases for an isobaric temperature up jump. The "isomorph filter", which allows one to test for universality of theories for the nonArrhenius temperature dependence of the relaxation time, is also briefly discussed.

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Verga, Grovanni. I Malavoglia. Edited, with introduction, notes and vocabulary, by M. D. Woolf. Manchester University Press, 1972

Cited by 15 publications

References 0 publications

From single-particle to collective effective temperatures in an active fluid of self-propelled particles

From single-particle to collective effective temperatures in an active fluid of self-propelled particles

Quantum thermal equilibration from equipartition

Strongly correlating liquids and their isomorphs

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