Slow relaxation in granular compaction

Дата и время публикации : 1996-03-25T01:49:06Z

Авторы публикации и институты :
E. Ben-Naim
J. B. Knight
E. R. Nowak

Ссылка на журнал-издание: Physica D 123, 380 (1998)
Коментарии к cтатье: revtex, 4 pages, 3 figures, also available from http://arnold.uchicago.edu/~ebn/
Первичная категория: cond-mat

Все категории : cond-mat, chem-ph, mtrl-th

Краткий обзор статьи: Experimental studies show that the density of a vibrated granular material evolves from a low density initial state into a higher density final steady state. The relaxation towards the final density value follows an inverse logarithmic law. We propose a simple stochastic adsorption-desorption process which captures the essential mechanism underlying this remarkably slow relaxation. As the system approaches its final state, a growing number of beads have to be rearranged to enable a local density increase. In one dimension, this number grows as $N=rho/(1-rho)$, and the density increase rate is drastically reduced by a factor $e^{-N}$. Consequently, a logarithmically slow approach to the final state is found $rho_{infty}-rho(t)cong 1/ln t$.

Category: Physics