Phase transitions in crowd dynamics of resource allocation
Abstract
We define and study a class of resource allocation processes where gN agents, by repeatedly visiting N resources, try to converge to an optimal configuration where each resource is occupied by at most one agent. The process exhibits a phase transition, as the density g of agents grows, from an absorbing to an active phase. In the latter, even if the number of resources is in principle enough for all agents (g<1), the system never settles to a frozen configuration. We recast these processes in terms of zerorange interacting particles, studying analytically the mean field dynamics and investigating numerically the phase transition in finite dimensions. We find a good agreement with the critical exponents of the stochastic fixedenergy sandpile. The lack of coordination in the active phase also leads to a nontrivial fasterisslower effect.
 Publication:

Physical Review E
 Pub Date:
 February 2012
 DOI:
 10.1103/PhysRevE.85.021116
 arXiv:
 arXiv:1109.2541
 Bibcode:
 2012PhRvE..85b1116G
 Keywords:

 05.70.Fh;
 89.65.s;
 87.23.Ge;
 Phase transitions: general studies;
 Social and economic systems;
 Dynamics of social systems;
 Physics  Physics and Society;
 Condensed Matter  Statistical Mechanics
 EPrint:
 7 pages, 7 figs