Information Geometry, Phase Transitions, and Widom Lines : Magnetic and Liquid Systems

Details Information Geometry, Phase Transitions, and Widom Lines : Magnetic and Liquid Systems Information Geometry, Phase Transitions, and Widom Lines : Magnetic and Liquid Systems

2011-11-29

arxiv.org/abs/1111.6721v1

Physics

Condensed Matter

Statistical Mechanics

1 + 16 Page, LaTex, 11 eps figures

Scientific paper

We study information geometry of the thermodynamics of first and second order phase transitions, and beyond criticality, in magnetic and liquid systems. We establish a universal microscopic characterization of such phase transitions via the equality of correlation lengths $\xi$ in coexisting phases, where $\xi$ is related to the scalar curvature of the equilibrium thermodynamic state space. The 1-D Ising model, and the mean-field Curie-Weiss model are discussed, and we show that information geometry correctly describes the phase behavior for the latter. The Widom lines for these systems are also established. We further study a simple model for the thermodynamics of liquid-liquid phase co-existence, and show that our method provides a simple and direct way to obtain its phase behavior and the locations of the Widom lines. Our analysis points towards multiple Widom lines in liquid systems.

Affiliated with

Also associated with

No associations

Rating

Information Geometry, Phase Transitions, and Widom Lines : Magnetic and Liquid Systems 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 Information Geometry, Phase Transitions, and Widom Lines : Magnetic and Liquid Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Information Geometry, Phase Transitions, and Widom Lines : Magnetic and Liquid Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-15003