Generic Long-Range Correlations in Molecular Fluids

Dorfman, J. R.; Kirkpatrick, T. R.; Sengers, J. V.

doi:10.1146/annurev.pc.45.100194.001241

Cited by 232 publications

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“…This is a manifestation of the nonlocality generically observed in nonequilibrium steady states [8,38,39,40] (Section 4).…”

Section: D)mentioning

confidence: 82%

“…Away from equilibrium, particles appear to develop space correlations, which reach the bulk, eventually connecting them to the boundaries, even in the absence of springs. Therefore, the observed asymmetries reveal that a form of nonlocality (long range correlations) [38,39,40,55] is common in nonequilibrium states of both deterministic and stochastic models.…”

Section: Temporal Symmetry Of Fluctuation Pathsmentioning

confidence: 91%

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Anomalies and absence of local equilibrium, and universality, in one-dimensional particles systems

Giberti

Rondoni

2011

Phys. Rev. E

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One dimensional systems are under intense investigation, both from theoretical and experimental points of view, since they have rather peculiar characteristics which are of both conceptual and technological interest. We analyze the dependence of the behaviour of one dimensional, time reversal invariant, nonequilibrium systems on the parameters defining their microscopic dynamics. In particular, we consider chains of identical oscillators interacting via hard core elastic collisions and harmonic potentials, driven by boundary Nosé-Hoover thermostats. Their behaviour mirrors qualitatively that of stochastically driven systems, showing that anomalous properties are typical of physics in one dimension. Chaos, by itslef, does not lead to standard behaviour, since it does not guarantee local thermodynamic equilibrium. A linear relation is found between density fluctuations and temperature profiles. This link and the temporal asymmetry of fluctuations of the main observables are robust against modifications of thermostat parameters and against perturbations of the dynamics.

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“…This is a manifestation of the nonlocality generically observed in nonequilibrium steady states [8,38,39,40] (Section 4).…”

Section: D)mentioning

confidence: 82%

Section: Temporal Symmetry Of Fluctuation Pathsmentioning

confidence: 91%

Anomalies and absence of local equilibrium, and universality, in one-dimensional particles systems

Giberti

Rondoni

2011

Phys. Rev. E

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“…In the latter (for example, in an oil-water mixture), this is achieved by tuning to a critical point, while the former is a consequence of the massless nature of the photon field. Generically, in a fluid in equilibrium, correlations (and, hence, FIF) decay exponentially and are insignificant beyond a correlation length.Nonequilibrium situations provide another route to longrange correlated fluctuations: Systems which, in equilibrium, have zero or short-ranged correlations [C eq ∼ δ s ðxÞ in s dimensions], quite generically exhibit power law correlations (C neq ∼ 1=jxj α ) with conserved dynamics when out of equilibrium [10][11][12]. Thus, it is natural to inquire about the nature (strength and range) of FIF in corresponding nonequilibrium settings (where there is no matching force in equilibrium).…”

mentioning

confidence: 99%

“…Nonequilibrium situations provide another route to longrange correlated fluctuations: Systems which, in equilibrium, have zero or short-ranged correlations [C eq ∼ δ s ðxÞ in s dimensions], quite generically exhibit power law correlations (C neq ∼ 1=jxj α ) with conserved dynamics when out of equilibrium [10][11][12]. Thus, it is natural to inquire about the nature (strength and range) of FIF in corresponding nonequilibrium settings (where there is no matching force in equilibrium).…”

mentioning

confidence: 99%

Fluctuation-Induced Forces in Nonequilibrium Diffusive Dynamics

2015

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Fluctuations in nonequilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations, in turn, experience fluctuation induced forces. We compute these forces for the simple case of parallel slabs in a driven diffusive system. Our model calculations show that the force falls off with slab separation d as k B T=d (at temperature T, and in all spatial dimensions) but can be attractive or repulsive. Unlike the equilibrium Casimir force, the force amplitude is nonuniversal and explicitly depends on dynamics. The techniques introduced can be used to study pressure and fluctuation induced forces in a broad class of nonequilibrium systems. [7,8], and liquid-vapor coexistences [9]. In both cases, quantum and classical, the underlying fluctuations are long-range correlated leading to forces that fall off as power laws. In the latter (for example, in an oil-water mixture), this is achieved by tuning to a critical point, while the former is a consequence of the massless nature of the photon field. Generically, in a fluid in equilibrium, correlations (and, hence, FIF) decay exponentially and are insignificant beyond a correlation length.Nonequilibrium situations provide another route to longrange correlated fluctuations: Systems which, in equilibrium, have zero or short-ranged correlations [C eq ∼ δ s ðxÞ in s dimensions], quite generically exhibit power law correlations (C neq ∼ 1=jxj α ) with conserved dynamics when out of equilibrium [10][11][12]. Thus, it is natural to inquire about the nature (strength and range) of FIF in corresponding nonequilibrium settings (where there is no matching force in equilibrium). Indeed, such forces have been explored in a number of circumstances, including driven granular fluids [13][14][15][16], shear flow [17], active matter systems [18], and in ordinary fluids due to the Soret effect [19] or subject to a temperature gradient [20,21]. However, despite these studies, they are much less understood than other FIF.Here, we explore FIF in diffusive systems which are far from thermal equilibrium. First, we consider, in detail, possibly the simplest (and, hence, analytically tractable) example of FIF in a system of diffusing particles which are subject only to hard core exclusion. The model is commonly referred to as the symmetric simple exclusion process (SSEP) [22]. Then, we present perturbative results for general diffusive systems. The methods introduced can be used to investigate a large variety of models.The setups examined are as follows: (a) The two dimensional system shown in Fig. 1(a); infinite in the y direction and connected to two reservoirs at x ¼ 0 and x ¼ L, with densities ρð0; yÞ ¼ ρ l and ρðL; yÞ ¼ ρ r , respectively. Two slabs, a distance d from each other, span the system along the x direction. (b) The three dimensional extension of this setup is depicted in Fig. 1(b), with the two slabs replaced by a tube of square cross section. (c) A generalized setup in which the slabs (or tube in three ...

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“…As seen, out of equilibrium the LDF φ [ρ f ] plays the role of the free-energy density in equilibrium [1]. It is by now well established that, in contrast to equilibrium, out of equilibrium long range correlations build-up [8,9] and the LDF is nonlocal [9,10]. Moreover, there is now a general framework for calculating φ [ρ f ].…”

mentioning

confidence: 99%

Cusp Singularities in Boundary-Driven Diffusive Systems

2013

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Boundary driven diffusive systems describe a broad range of transport phenomena. We study large deviations of the density profile in these systems, using numerical and analytical methods. We find that the large deviation may be non-differentiable, a phenomenon that is unique to nonequilibrium systems, and discuss the types of models which display such singularities. The structure of these singularities is found to generically be a cusp, which can be described by a Landau free energy or, equivalently, by catastrophe theory. Connections with analogous results in systems with finite-dimensional phase spaces are drawn.

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Generic Long-Range Correlations in Molecular Fluids

Cited by 232 publications

References 0 publications

Anomalies and absence of local equilibrium, and universality, in one-dimensional particles systems

Anomalies and absence of local equilibrium, and universality, in one-dimensional particles systems

Fluctuation-Induced Forces in Nonequilibrium Diffusive Dynamics

Cusp Singularities in Boundary-Driven Diffusive Systems

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