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- W1854794363 abstract "Collapse, or a gravitational-like phase transition is studied in a microcanonical ensemble of particles with an attractive $1/r^{alpha}$ potential. A mean field continuous integral equation is used to determine a saddle-point density profile that extremizes the entropy functional. For all $0<alpha<3$, 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 $+infty$. A stable integral equation solution represents a state with maximal entropy; the reverse is always true only for a modified integral equation introduced here." @default.
- W1854794363 created "2016-06-24" @default.
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- W1854794363 date "2001-06-19" @default.
- W1854794363 modified "2023-09-27" @default.
- W1854794363 title "Collapse in $1/r^alpha$ interacting systems" @default.
- W1854794363 hasPublicationYear "2001" @default.
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