Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-04-14
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
We study the origin of phase transitions in some simplified models with long range interactions. For the ring model, we show that a possible new phase transition predicted in a recent paper by Nardini and Casetti from an energy landscape analysis does not occur. Instead of such phase transitions we observe a sharp, although without any non-analiticity, change from a core-halo to an only core configuration in the spatial distribution functions for low energies. By introducing a new class of solvable simplified models without any critical points in the potential energy, we show that a similar behaviour to the ring model is obtained, with a first order phase transition from an almost homogeneous high energy phase to a clustered phase, and the same core-halo to core configuration transition at lower energies. We discuss the origin of these features of the simplified models, and show that the first order phase transition comes from the maximization of the entropy of the system as a function of energy an an order parameter, as previously discussed by Kastner, which seems to be the main mechanism causing phase transitions in long-range interacting systems.
Amato Marco Antonio
Figueiredo Annibal
Mello Bernardo A.
Rocha Filho Tarcisio Marciano
No associations
LandOfFree
Phase transitions in simplified models with long-range interactions 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 Phase transitions in simplified models with long-range interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transitions in simplified models with long-range interactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-165189