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  • As is well known, deeper comprehension of the micro-dynamics in particle Dyson’s gases seems to be essential for understanding the functioning of transport flows. The investigated model is represented by an ensemble of identical particles moving along the ring and being repulsed by middle-ranged forces. The main effort of our considerations can be found in derivation of the spacing distribution pβ(r), where r denotes the distance-clearance between two neighboring particles. Furthermore, the parameter corresponds to the inverse temperature of the associated thermal ensemble. Interactions in the investigated model are described by means of middle-ranged repulsive potentials. We derive the spacing distributions pβ(r) for two various types of the middle-ranged repulsive potentials – the perturbative and logarithmic (Coulomb) potential.
  • As is well known, deeper comprehension of the micro-dynamics in particle Dyson’s gases seems to be essential for understanding the functioning of transport flows. The investigated model is represented by an ensemble of identical particles moving along the ring and being repulsed by middle-ranged forces. The main effort of our considerations can be found in derivation of the spacing distribution pβ(r), where r denotes the distance-clearance between two neighboring particles. Furthermore, the parameter corresponds to the inverse temperature of the associated thermal ensemble. Interactions in the investigated model are described by means of middle-ranged repulsive potentials. We derive the spacing distributions pβ(r) for two various types of the middle-ranged repulsive potentials – the perturbative and logarithmic (Coulomb) potential. (en)
Title
  • The middle-ranged interactions in Dyson’s particle gases
  • The middle-ranged interactions in Dyson’s particle gases (en)
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  • The middle-ranged interactions in Dyson’s particle gases
  • The middle-ranged interactions in Dyson’s particle gases (en)
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  • RIV/68407700:21340/14:00223098!RIV15-MSM-21340___
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  • 29295
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  • RIV/68407700:21340/14:00223098
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  • Dyson’s gases; Spacing distribution; Repulsive potentials (en)
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  • [77D55CE291A9]
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  • Malá Skála
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  • Praha
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  • Proceedings of Stochastic and Physical Monitoring Systems 2014
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  • Faltys, Ondřej
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number of pages
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  • České vysoké učení technické v Praze
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  • 978-80-01-05616-5
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  • 21340
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