Heat conduction and diffusion of hard disks in a narrow channel

dc.creatorLipowski, Adam
dc.creatorLipowska, Dorota
dc.date2006-10-11
dc.date2007-05-20
dc.date.accessioned2026-07-07T08:05:05Z
dc.date.available2026-07-07T08:05:05Z
dc.descriptionUsing molecular dynamics we study heat conduction and diffusion of hard disks in one dimensional narrow channels. When collisions preserve momentum the heat conduction $κ$ diverges with the number of disks $N$ as $κ\sim N^α$ $(α\approx 1/3)$. Such a behaviour is seen both when the ordering of disks is fixed ('pen-case' model), and when they can exchange their positions. Momentum conservation results also in sound-wave effects that enhance diffusive behaviour and on an intermediate time scale (that diverges in the thermodynamic limit) normal diffusion takes place even in the 'pen-case' model. When collisions do not preserve momentum, $κ$ remains finite and sound-wave effects are absent.
dc.description4 pages, accepted in Phys.Rev.E
dc.identifierhttps://arxiv.org/abs/cond-mat/0610309
dc.identifierhttp://arxiv.org/abs/cond-mat/0610309
dc.identifierPhys. Rev. E 75, 052201 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.052201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130167
dc.subjectStatistical Mechanics
dc.titleHeat conduction and diffusion of hard disks in a narrow channel
dc.typetext

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