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SUMMARY:Statistical mechanics of systems with long-range interactions - Pr
 of. Yan Levin (Instituto de Física\, UFRGS Brazil)
DTSTART:20120511T110000Z
DTEND:20120511T120000Z
UID:TALK36431@talks.cam.ac.uk
CONTACT:Dr Mark Miller
DESCRIPTION:Systems with long-range forces behave very differently from th
 ose in which particles interact through short-range potentials. For system
 s with short-range forces\, for arbitrary initial conditions\, the final s
 tationary state corresponds to the thermodynamic equilibrium and can be de
 scribed equivalently by either a microcanonical\, canonical\, or a grand-c
 anonical ensemble. On the other hand\, for systems with unscreened long-ra
 nge interactions\, equivalence between ensembles breaks down. In a microca
 nonical ensemble — in thermodynamic limit — such Hamiltonian systems d
 o not evolve to the usual Maxwell-Boltzmann equilibrium\, but become trapp
 ed in a non-ergodic stationary state which explicitly depends on the initi
 al particle distribution. In this talk\, a theoretical framework will be p
 resented which allows us to obtain the final stationary state achieved by 
 systems with long-range interactions. The theory is able to quantitatively
  predict both the density and the velocity distributions in the final stat
 ionary state\, without any adjustable parameters [1\,2\,3].\n\n[1] Y. Levi
 n\, R. Pakter and T. N. Telles\, Phys. Rev. Lett. 100\, 040604 (2008).\n\n
 [2] Y. Levin\, R. Pakter\, and F.B. Rizzato\, Phys. Rev. E 78\, 021130 (20
 08)\; T. N. Teles\, Y. Levin\, and R. Pakter\, Mon. Not. R. Astron. Soc. 4
 17\, L21 (2011).\n\n[3] R. Pakter\, and Y. Levin\, Phys. Rev. Lett. 106\, 
 200603 (2011).
LOCATION:Unilever Lecture Theatre\, Department of Chemistry
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