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University of Cambridge > Talks.cam > Theoretical Chemistry Informal Seminars > Statistical mechanics of systems with long-range interactions

## Statistical mechanics of systems with long-range interactionsAdd to your list(s) Download to your calendar using vCal - Prof. Yan Levin (Instituto de Física, UFRGS Brazil)
- Friday 11 May 2012, 12:00-13:00
- Unilever Lecture Theatre, Department of Chemistry.
If you have a question about this talk, please contact Dr Mark Miller. Systems with long-range forces behave very differently from those in which particles interact through short-range potentials. For systems with short-range forces, for arbitrary initial conditions, the final stationary state corresponds to the thermodynamic equilibrium and can be described equivalently by either a microcanonical, canonical, or a grand-canonical ensemble. On the other hand, for systems with unscreened long-range interactions, equivalence between ensembles breaks down. In a microcanonical ensemble — in thermodynamic limit — such Hamiltonian systems do not evolve to the usual Maxwell-Boltzmann equilibrium, but become trapped in a non-ergodic stationary state which explicitly depends on the initial particle distribution. In this talk, a theoretical framework will be presented 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 stationary state, without any adjustable parameters [1,2,3]. [1] Y. Levin, R. Pakter and T. N. Telles, Phys. Rev. Lett. 100, 040604 (2008). [2] Y. Levin, R. Pakter, and F.B. Rizzato, Phys. Rev. E 78 , 021130 (2008); T. N. Teles, Y. Levin, and R. Pakter, Mon. Not. R. Astron. Soc. 417, L21 (2011). [3] R. Pakter, and Y. Levin, Phys. Rev. Lett. 106, 200603 (2011). This talk is part of the Theoretical Chemistry Informal Seminars series. ## This talk is included in these lists:- All Talks (aka the CURE list)
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