When topology triggers a phase transition

Details When topology triggers a phase transition When topology triggers a phase transition

2005-09-06

arxiv.org/abs/cond-mat/0509136v1

PhysicaA365:128-131,2006

Physics

Condensed Matter

Statistical Mechanics

Talk given at the Next-SigmaPhi conference in Kolymbari, Crete, Greece, August 13-18, 2005

Scientific paper

10.1016/j.physa.2006.01.036

Two mathematical mechanisms, responsible for the generation of a thermodynamic singularity, are individuated. For a class of short-range, confining potentials, a topology change in some family of configuration space submanifolds is the only possible such mechanism. Two examples of systems in which the phase transition is not accompanied by a such topology change are discussed. The first one is a model with long-range interactions, namely the mean-field phi^4-model, the second example is a one-dimensional system with a non-confining potential energy function. For both these systems, the thermodynamic singularity is generated by a maximization over one variable (or one discrete index) of a smooth function, although the context in which the maximization occurs is very different.

Affiliated with

Also associated with

No associations

Rating

When topology triggers a phase transition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with When topology triggers a phase transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and When topology triggers a phase transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-376167