نتایج جستجو برای: hard spheres

تعداد نتایج: 166148  

Journal: :The Journal of Chemical Physics 2017

Journal: :Physical Review Letters 2021

Liquids equilibrated below an onset condition share similar inherent states, while those above that have states markedly differ. Although this type of materials memory was first reported in simulations over 20 years ago, its physical origin remains controversial. Its absence from mean-field descriptions, particular, has long cast doubt on thermodynamic relevance. Motivated by a recent theoretic...

Journal: :Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 2009

Journal: :Proceedings of the American Mathematical Society 2016

Journal: :Physica A: Statistical Mechanics and its Applications 1999

Journal: :Journal of Chemical Physics 2021

We study packings of hard spheres on lattices. The partition function, and therefore the pressure, may be written solely in terms accessible free volume, i.e., volume space that a sphere can explore without touching another sphere. compute these volumes using leaky cell model, which accounts for possibility escape from local cage lattice neighbors. describe how elementary geometry used to calcu...

2008
Hideki Takayasu

A set of hard spheres with tangential inelastic collision is found to reproduce observations of real and numerical granular matter. After time is scaled so as to cancel energy dissipation due to inelastic collisions out, inelastically colliding hard spheres in two dimensional space come to have 1/f fluctuation of total energy, non-Gaussian distribution of displacement vectors, and convective mo...

2008
Richard P. Sear

It has been shown by Stell [J. Stat. Phys., 63, 1203 (1991)] that at low temperature monodisperse sticky spheres collapse to form coexisting close-packed solid and infinitely dilute gases. We show that polydisperse sticky spheres also collapse and calculate the collapse temperature. The polydisperse spheres separate into fractions with narrower polydispersities which can then solidify. This is ...

2008
Richard P. Sear

Polydisperse mixtures are those in which components with a whole range of sizes are present. It is shown that the fluid phase of polydisperse hard spheres is thermodynamically unstable unless the density of large spheres decreases at least exponentially as their size increases. The instability is with respect to the large spheres crystallising out into multiple solid phases. PACS: 64.10.+h, 64....

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