brain01 taylor01 ising01 the effect of noise on swarm- ing behaviour of ‘self-propelled particles’ is analogous to the effect of temperature on the spins of a magnetic material

heating=new information comes in
 heating the mag- net brings about a critical phase transition
The Physical Modelling of Human Social Systems

www.uvm.edu/~cmplxsys/.../wp.../ball2003a.pdf

• Cached
• Share
  View shared post

University of Vermont

Loading...

by P Ball - ‎2003 - ‎Cited by 52 - ‎Related articles

a given system, and are to be anticipated in any system of a multitude of ... make up a civil government' [2] . .... energy). A first-order transition proceeds via nucleation and growth of the new ... supercooled into a metastable state if the ... size increases, the decline is much slower ...... configuration of allied companies is found.

 icsek et al. [ 13] h ave shown that, in two dimensions, the effect of noise on swarm- ing behaviour of ‘self-propelled particles’ is analogous to the effect of temperature on the spins of a magnetic material. In fact, this system is technically equivalent to a Heisenberg magnet, in which the spins can point in any direction in the xy plane  [13, 14].  That is to say, just as heating the mag- net brings about a critical phase transition from a magnetically ordered to a magneti