2011
DOI: 10.1051/mmnp/20116406
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Homogeneous Cooling with Repulsive and Attractive Long-Range Potentials

Abstract: 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 emp… Show more

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Cited by 12 publications
(33 citation statements)
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“…We solve the mean-field temperature evolution problem with the addition of short-range attractive potentials, building on the long-range results of Müller and Luding 12 for dilute systems. The main difference between the approach developed in this work and that of Müller and Luding 12 is the form of the final ordinary differential equation (ODE) governing the decay of kinetic energy.…”
Section: Introductionmentioning
confidence: 99%
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“…We solve the mean-field temperature evolution problem with the addition of short-range attractive potentials, building on the long-range results of Müller and Luding 12 for dilute systems. The main difference between the approach developed in this work and that of Müller and Luding 12 is the form of the final ordinary differential equation (ODE) governing the decay of kinetic energy.…”
Section: Introductionmentioning
confidence: 99%
“…One approach has been to focus on systems where sticking does not occur 12 and treat weaker long-range interactions. An alternative approach is to treat the sticking systems with aggregation and break-up processes.…”
Section: Introductionmentioning
confidence: 99%
“…We were thus able to produce a macroscopic system whose distance to the quasielastic limit could be precisely controlled through the applied magnetic field. We may also wonder how the results found here with repulsive dipolar interactions can be generalised for other interaction potentials, like the Coulombian one [22,23].…”
mentioning
confidence: 99%
“…To our knowledge, the influence of dipolar interactions on the particle velocity distributions has only been studied in a case dominated by attractive interactions [21]. Free-cooling of 3D granular gases with electrostatic repulsions has also been investigated theoretically and numerically [22,23]. In our experiment, we start from the well studied case of a twodimensional granular gas [8,9] where mechanical agitation is provided to the particles by the vibration of a horizon- tal rough bottom plate.…”
mentioning
confidence: 99%
“…There exist some studies on the kinetic theory of gas molecules having the square well potential [43][44][45][46][47][48] in which, the collision processes are categorized into four processes: (i) hard core collisions, (ii) entering processes, (iii) leaving processes from the well, and (iv) trapping processes by the well [45,46,49]. Note that most of previous works study gases without dissipations in collisions except for some recent papers [50,51], which do not discuss the transport coefficients. It should also be noted that some papers developed the kinetic theory based on different models for cohesion [52,53].…”
Section: Introductionmentioning
confidence: 99%