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UID:7626@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170224T110000
DTEND;TZID=Europe/Paris:20170224T120000
DTSTAMP:20241120T204430Z
URL:https://www.i2m.univ-amu.fr/evenements/diffusion-in-coulomb-environmen
 t-and-a-phase-transition-hirofumi-osada/
SUMMARY:Hirofumi Osada (Kyushu University): Diffusion in Coulomb environmen
 t and a phase transition - Hirofumi Osada
DESCRIPTION:Hirofumi Osada: I talk homogenization of diffusion in two-dimen
 sional Euclidian space in a periodic Coulomb environment.\nThat is\, we co
 nsider a periodic point process in the plane and the diffusion has the rep
 ulsive interaction with the two-dimensional Coulomb potential with inverse
  temperature β to each particle in the periodic point process.\nWe first 
 prove that the diffusion is diffusive with non-degenerated effective diffu
 sion constant γ.\nWe then remove one particle from the environment and co
 nsider the diffusive scaling limit of the diffusion. Then its new effectiv
 e constant depending on the inverse temperature β has a phase transition 
 whose critical point is given explicitly in terms of the original effectiv
 e diffusion constant γ of the periodic homogenization problem. Using this
  result\, we present explicit bounds for the critical point of the self-di
 ffusion matrices of the two-dimensional strict Coulomb interacting Brownia
 n motions with respect to inverse temperature β.\nhttp://hyoka.ofc.kyushu
 -u.ac.jp/search/details/K002497/english.html\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 017/02/Hirofumi_Osada.jpg
CATEGORIES:Séminaire,Probabilités
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