Dynamical pair correlations of classical and quantum fluids perturbed with weak long-range forces

Høye, Johan S.

doi:10.1016/j.physa.2009.12.003

Cited by 6 publications

(19 citation statements)

References 37 publications

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“…As a numerical example we will make estimates for Ar (argon) where the atoms interact via the Lennard-Jones potential φ(r) = 4ε LJ [(σ /r) 12 The attractive part of φ(r) is to be identified with the van der Waals interaction F given below Eq. (2.10).…”

Section: A Pair Of Particlesmentioning

confidence: 99%

“…where h (12) and c (12) are the pair correlation function and the direct correlation function respectively.…”

Section: Electrostatic Interactionmentioning

confidence: 99%

“…The condition on c (12), where (12) is the pair interaction, is an approximation while the condition on h(12) is the exact hard core condition for spheres of unit diameter. With static dipole-dipole interaction this means…”

Section: Electrostatic Interactionmentioning

confidence: 99%

“…hard spheres with added interaction of Yukawa form where also an analytic solution has been worked out. The c (12) and h(12) can still be written in the form (3.2), but the c (r ) and c D (r) will change. 24,25 The radiating dipole-dipole interaction is a solution of Maxwell's equations, and with Eq.…”

Section: Radiating Interactionsmentioning

confidence: 99%

“…This is a noticeable effect for large molecules, and it lead to the evaluation of the Casimir-Polder force. 1 In this respect one of us in recent works has included van der Waals and Casimir energies as leading perturbations [12][13][14] to ab initio Hartree-Fock or density functional theory for molecular energies. 15 These energies can be expressed in terms of the occupied and excited eigenstates of the molecules.…”

Section: Introductionmentioning

confidence: 99%

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Van der Waals interactions: Corrections from radiation in fluids

Waage

Høye

2013

AIP Advances

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We consider induced van der Waals interactions with corrections due to radiation in fluids consisting of polarizable hard spheres. The fluctuating polarizations are quantized while the positions of particles are treated classically. First the well known result for the induced Casimir free energy for a pair of particles is used to establish the resulting free energy at low density. The Casimir interaction includes the full effect of the quantized radiating electromagnetic field. Then the situation with electrostatic dipole-dipole interactions is considered for general density. For this situation the induced interactions are the van der Waals interactions, and we evaluate numerically the free energy based upon analytic results obtained earlier. These analytic results were obtained by extending methods of classical statistical mechanics to the path integral of quantum mechanics. We have realized that these methods can be extended to time-dependent interactions too. Thus we here also make the extension to the radiating dipole-dipole interaction between pairs of particles to obtain explicit results for more arbitrary fluid densities, and radiation corrections to the induced free energy are found both analytically and numerically.

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Section: A Pair Of Particlesmentioning

confidence: 99%

“…where h (12) and c (12) are the pair correlation function and the direct correlation function respectively.…”

Section: Electrostatic Interactionmentioning

confidence: 99%

Section: Electrostatic Interactionmentioning

confidence: 99%

Section: Radiating Interactionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Van der Waals interactions: Corrections from radiation in fluids

Waage

Høye

2013

AIP Advances

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Homogeneous Cooling with Repulsive and Attractive Long-Range Potentials

Müller¹,

Luding²

2011

Math. Model. Nat. Phenom.

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Abstract. The interplay between dissipation and long-range repulsive/attractive forces in homogeneous, dilute, mono-disperse particle systems is studied. The pseudo-Liouville operator formalism, originally introduced for hard-sphere interactions, is modified such that it provides very good predictions for systems with weak long-range forces at low densities, with the ratio of potential to fluctuation kinetic energy as control parameter. By numerical simulations, the theoretical results are generalized with empirical, density dependent correction-functions up to moderate densities.The main result of this study on dissipative cooling is an analytical prediction for the reduced cooling rate due to repulsive forces and for the increased rate due to attractive forces. In the latter case, surprisingly, for intermediate densities, similar cooling behavior is observed as in systems without long-range interactions. In the attractive case, in general, dissipation leads to inhomogeneities earlier and faster than in the repulsive case.

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Homogeneous Cooling with Repulsive and Attractive Long-range Interactions

Müller

Luding

2009

AIP Conference Proceedings

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In granular matter, consisting of discrete particles, long-range interactions imply that each of the particles is interacting with all others. For many charged granular materials with Coulomb repulsion or large-scale gravitationally attractive systems, a Molecular Dynamics environment is developed. In granular systems with long-range interaction forces and dissipative collisions, both effects can lead to large-scale structure formation, whereas already dissipation alone leads to ever growing clusters. For our three-dimensional mono-charged dissipative homogeneous systems we present the effect of both repulsive and attractive mutual long-range forces and make an attempt to predict the collision frequency and the temperature decay in the system by means of a modified pseudo-Liouville operator formalism. The theoretical predictions are in perfect agreement with the simulations, but only in the limit of low density and for not too strong interaction potential enrgy.

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Dynamical pair correlations of classical and quantum fluids perturbed with weak long-range forces

Cited by 6 publications

References 37 publications

Van der Waals interactions: Corrections from radiation in fluids

Van der Waals interactions: Corrections from radiation in fluids

Homogeneous Cooling with Repulsive and Attractive Long-Range Potentials

Homogeneous Cooling with Repulsive and Attractive Long-range Interactions

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