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SUMMARY:Analysis of Dynamics of Doi-Onsager Phase Transition - Liu\, JG (D
 uke)
DTSTART:20100906T160500Z
DTEND:20100906T164500Z
UID:TALK26059@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Phase transition of directional field appears in some physical
  and biological systems such as ferromagnetism near Currie temperature\, f
 locking dynamics near critical mass of self propelled particles. This prob
 lem was postulated by Onsager via minimization of a free energy and dynami
 cally by Doi equation. It also appears in the mean-field equation of Vicse
 k model for flocking of birds. In this talk\, I will present a new entropy
  for the Doi-Onsager equation which enable us to give a rigorous justifica
 tion of this dynamics phase transition. This is a joint work with Pierre D
 egond and Amic Frouvelle. \n
LOCATION:Seminar Room 1\, Newton Institute
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