Phase transitions in systems with 1/rα attractive interactions

Details Phase transitions in systems with 1/rα attractive interactions Phase transitions in systems with 1/rα attractive interactions

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phrve..64e6103i&link_type=abstract

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Volume 64, Issue 5, November 2001, p.056103

Physics

18

General Studies Of Phase Transitions, Integral Equations, Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime, Phase Transitions: General Studies

Scientific paper

Collapse, or a gravitational-like phase transition is studied in a microcanonical ensemble of particles with an attractive 1/rα potential. A mean-field continuous integral equation is used to determine a saddle-point density profile that extremizes the entropy functional. For all 0<α<3, a critical energy is determined below which the entropy of the system exhibits a discontinuous jump. If an effective short-range cutoff is applied, the entropy jump is finite; if not, the entropy diverges to +∞. A stable integral equation solution represents a state with maximal entropy; the reverse is always true only for a modified integral equation introduced here.

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