Clustering in anomalous files of independent particles
Flomenbom-BPS - 19 Louis Marshal St., Tel Aviv, 62668 Israel
Accepted: 7 April 2011
The dynamics of classical hard particles in a quasi–one-dimensional channel were studied since the 1960s and used for explaining processes in chemistry, physics and biology and in applications. Here we show that in a previously undescribed file made of anomalous, independent, particles (with jumping times taken from, ψ α (t)∼t−1−α, 0 < α < 1), particles form clusters. At steady state, the percentage of particles in clusters is about, , only for anomalous α, characterizing the criticality of a phase transition. The asymptotic mean square displacement per particle in the file is about, . We show numerically that this phenomenon of a dynamical phase transition is very stable, and relate it with the mysterious phenomenon of rafts in biological membranes, and with regulation of biological channels.
PACS: 87.10.Mn – Stochastic modeling / 02.50.Ey – Stochastic processes / 66.30.Pa – Diffusion in nanoscale solids
© EPLA, 2011