Velocity Correlations and the Structure of Nonequilibrium Hard-Core Fluids

Lutsko, James F.

doi:10.1103/physrevlett.86.3344

Cited by 13 publications

(14 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These include phenomenological approaches based on fluctuating hydrodynamics [1][2][3] and on the Langevin models [4,5]. More recently a relatively successful description of the structural changes in the hardsphere fluid under shear was given by Lutsko [6], where he combines solution of the Enskog equation [7], which gives the contact value of the hard-sphere pair distribution function, and ideas of the generalized mean spherical approximation approach [8].…”

Section: Introductionmentioning

confidence: 99%

Structure of a sheared soft-disk fluid from a nonequilibrium potential

et al. 2004

View full text Add to dashboard Cite

The distortion of structure of a simple, inverse-12, soft-disk fluid undergoing two-dimensional plane Couette flow was studied by nonequilibrium molecular dynamics (NEMD) simulation and by equilibrium Monte Carlo (MC) simulation with a nonequilibrium potential, under which the equilibrium structure of the fluid is that of the nonequilibrium fluid. Extension of the iterative predictor-corrector method of [Reatto et al.Phys. Rev. A 33 3451 (1986)] was used to extract the nonequilibrium potential with the structure input from the NEMD simulation. Very good agreement for the structural properties and pressure tensor generated by the NEMD and MC simulation methods was found, thus providing the evidence that nonequilibrium liquid structure can be accurately reproduced via simple equilibrium simulations or theories using a properly chosen nonequilibrium potential. The method developed in the present study and numerical results presented here can be used to guide and test theoretical developments, providing them with the "experimental" results for the nonequilibrium potential.

show abstract

Section: Introductionmentioning

confidence: 99%

Structure of a sheared soft-disk fluid from a nonequilibrium potential

et al. 2004

View full text Add to dashboard Cite

show abstract

“…The paper ends with a discussion of the prospects to extend these results to other systems. A preliminary description of some of these results has appeared previously [3].…”

Section: Introductionmentioning

confidence: 99%

“…These parameters are constrained by two boundary conditions consisting of the values of M 00 and M 22 . In the first application to shear flow [3], the model was simplified by setting K 00 = K 22 = 0. The justification for this was simplicity, since there is then only the non-uniqueness parameter, B 22,1 , and it was shown that a value could be found which simultaneously satisfied both boundary conditions reasonably well.…”

Section: B Langevin Model For Density Fluctuationsmentioning

confidence: 99%

“…density-energy, energy-energy, ..., are immediately known because the velocity-dependence of the two-body distribution function in equilibrium is trivial. It is a characteristic of nonequilibrium fluids that this property no longer holds [2,3,4,5], and the presence of velocity correlations is the reason that the determination of static correlations in nonequilibrium fluids, over all densities and length scales, is a difficult problem.…”

Section: Introductionmentioning

confidence: 99%

“…Recent work by Yustes and Santos [20,21,22], as well as Carraro and Ciccariello [23], has shown first that the PercusYevik approximation may be viewed as, in some sense, the simplest approximation that provides certain analytic properties that any distribution function must satisfy and second, that the GMSA of Weisman may be viewed as a framework for systematically extending this model so as to incorporate additional constraints. It is with this motivation that the extension of the GMSA to nonequilibrium systems was proposed [3] as a means of modeling the density-density correlation function, i.e. the pdf, at all length scales.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Atomic-scale structure of hard-core fluids under shear flow

Lutsko

2002

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

The effect of velocity correlations on the equal-time density autocorrelation function, e.g. the pair distribution function or pdf, of a hard-sphere fluid undergoing shear flow is investigated.The pdf at contact is calculated within the Enskog approximation and is shown to be in good agreement with molecular dynamics simulations for shear rates below the shear-induced ordering transition. These calculations are used to construct a nonequilibrium generalised mean spherical approximation for the pdf at finite separations which is also found to agree well with the simulation data.

show abstract

Modelling inelastic Granular Media Using Dynamical Density Functional Theory

2021

View full text Add to dashboard Cite

We construct a new mesoscopic model for granular media using Dynamical Density Functional Theory (DDFT). The model includes both a collision operator to incorporate inelasticity and the Helmholtz free energy functional to account for external potentials, interparticle interactions and volume exclusion. We use statistical data from event-driven microscopic simulations to determine the parameters not given analytically by the closure relations used to derive the DDFT. We numerically demonstrate the crucial effects of each term and approximations in the DDFT, and the importance of including an accurately parametrised pair correlation function.

show abstract

Velocity Correlations and the Structure of Nonequilibrium Hard-Core Fluids

Cited by 13 publications

References 24 publications

Structure of a sheared soft-disk fluid from a nonequilibrium potential

Structure of a sheared soft-disk fluid from a nonequilibrium potential

Atomic-scale structure of hard-core fluids under shear flow

Modelling inelastic Granular Media Using Dynamical Density Functional Theory

Contact Info

Product

Resources

About