Condensation of hard spheres under gravity
نویسندگان
چکیده
منابع مشابه
Condensation of Hard Spheres Under Gravity
Starting from Enskog equation of hard spheres of mass m and diameter D under the gravity g, we first derive the exact equation of motion for the equilibrium density profile at a temperature T and examine its solutions via the gradient expansion. The solutions exist only when βμ ≤ μo ≈ 21.756 in 2 dimensions and μo ≈ 15.299 in 3 dimensions, where μ is the dimensionless initial layer thickness an...
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We present exact results for the density profile of the one dimensional array of N hard spheres or disks of diameter D and mass m under gravity g. We determine the series of critical temperatures, T (i) c = mgD(N +1− i)/μo with μo = const, at which the i-th particle undergoes the liquid-solid transition. The functional form of the onset temperature, T (1) c = mgDN/μo, is consistent with the pre...
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We investigate the liquid-solid transition of two-dimensional hard spheres in the presence of gravity. We determine the transition temperature and the fraction of particles in the solid regime as a function of temperature via event-driven molecular-dynamics simulations and compare them with the theoretical predictions. We then examine the configurational statistics of a vibrating bed from the v...
متن کاملDensity-functional theory of hard-sphere condensation under gravity.
The onset of condensation of hard spheres in a gravitational field is studied using density-functional theory (DFT). We find that the local density approximation yields results identical to those obtained previously using the kinetic theory [Physica A 271, 192, (1999)], and a weighted density-functional theory gives qualitatively similar results, namely, that the temperature at which condensati...
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The influence of gravity on the long-time behavior of the mean squared displacement in glasses of polydisperse colloidal hard spheres was studied by means of real-space fluorescent recovery after photobleaching. We present, for the first time, a significant influence of gravity on the mean squared displacements of the particles. In particular, we observe that systems which are glasses under gra...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 1999
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(99)00181-8