# Events Archive

## Statistical Mechanics Seminar

### Statistical Mechanics Seminar, P. Kleban, "Crossing probabilities, their densities, and modular forms"

Wed, Dec 14, 2011, 2:00 pm to 3:30 pm

Abstract: A crossing probability is the probability of finding a critical cluster that touches specified boundary arcs.

### Statistical Mechanics Seminar, V. Mastropietro, "Universal conductivity in graphene; some rigorous results and open problems"

Wed, Dec 7, 2011, 2:00 pm to 3:30 pm

Abstract: Recent experiments have found an universal value for the dynamic conductivity in graphene, fully confirming theoretical predictions based on a non interacting tight binding model. This however poses a problem since one could expect a many body renormalization of the non interacting value of the conductivity due to the interaction.

### CANCELED Statistical Mechanics Seminar, J Yngvason, "Interacting Bosons in Random Potentials Interacting Bosons in"

Wed, Nov 30, 2011, 2:00 pm to 3:30 pm

Abstract: : In contrast to the cases of single particle Schrödinger
operators and ideal Bose gases the effects of random external
potentials on many-body systems of interacting particles is still poorly
understood. In the lecture the effects of random scatterers on the ground
state of the one-dimensional Lieb-Liniger model of interacting bosons,

### Statistical Mechanics Seminar, M. Lewin, "The thermodynamic limit of disordered quantum Coulomb systems"

Wed, Nov 23, 2011, 2:00 pm to 3:30 pm

Abstract: In this talk I will explain how to prove the existence of the thermodynamic limit for a many-body quantum crystal in which the electrons are quantum and the nuclei are classical point particles, with
disordered charges and locations around a lattice. This is a collaboration with Xavier Blanc, based on previous work with Christian Hainzl...

### Statistical Mechanics Seminar, Rupert Frank, "A microscopic derivation of Ginzburg-Landau theory of superconductivity"

Wed, Nov 16, 2011, 2:00 pm to 3:30 pm

Abstract: We describe the first rigorous derivation of the celebrated
Ginzburg-Landau (GL) theory, starting from the microscopic
Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical

### Statistical Mechanics Seminar, D.Ruelle, "A mechanical model for Fourier's law for heat conduction"

Wed, Nov 9, 2011, 2:00 pm to 3:30 pm

Abstract: Nonequilibrium statistical mechanics close to equilibrium is a physically satisfactory theory centered on the linear response formula of Green-Kubo. This formula results from a formal first order perturbation calculation without rigorous justification.

### Statistical Mechanics Seminar, D. Brydges, "The renormalisation group and recent applications"

Wed, Oct 26, 2011, 2:00 pm to 3:30 pm

Abstract: I will review a method to control irrelevant terms in the renormalisation group and describe an application to self-repelling walk in four dimensions.

### Statistical Mechanics Seminar, R, Car, "Entangled protons in ice"

Wed, Oct 19, 2011, 2:00 pm to 3:30 pm

Abstract: Quantum fluctuations can drive phase transitions in ice. This happens when the protons tunnel between the two equivalent sites on a hydrogen bond. The corresponding dynamics is collective and dominated by strong local correlations originating from the ice rules.

### Statistical Mechanics Seminar, G. Gallavotti, "Time Evolution and Stationary States of Classical and Quantum"

Wed, Oct 12, 2011, 2:00 pm to 3:30 pm

ABSTRACT: A chaotic system under periodic forcing can develop a periodically visited strange attractor. We discuss simple models in which the phenomenon, quite easy to see in numerical simulations, can be completely studied analytically.

### J.L. Lebowitz, Time Evolution and Stationary States of Classical and Quantum

Wed, Oct 5, 2011, 2:00 pm to 3:30 pm

Abstract: I will review both old and recent work about the time dependence and steady states of isolated macroscopic systems as well as those in contact with infinite thermal reservoirs. The emphasis will be on quantum systems and will include a discussion of the micro/macro connection in isolated ones and the derivation of a master equation...

### Statistical Mechanics Seminar - Philip W. Anderson, Some new results on the ground state of the strong coupling (solid)limit of the Bose-Hubbard Mod

Wed, Sep 28, 2011, 2:00 pm to 3:30 pm

Abstract: The Mott insulator is accepted as the appropriate ground manifold for the strongly interacting Fermion Hubbard model, with solid

### Giovanni Gallavotti , Title: Nonequilibrium: Thermostats, BBGKY Hierarchy, Fourier's Equation

Wed, Dec 8, 2010, 2:00 pm to 6:00 pm

Abstract: Review of rigorous results on thermostats. Families of exact formal solutions of the BBGKY hierarchy for hard sphere systems with free boundary conditions at collisions and Fourier equation emergence, to first order in the temperature difference, after boundary conditions are imposed.

### Peter Kleban, University of Maine

Wed, Dec 1, 2010, 2:00 pm to 6:00 pm

Title“Hidden Symmetries at the Percolation Point in Two Dimensions

### Michael Aizenman, Princeton University

Wed, Nov 24, 2010, 2:00 pm to 6:00 pm

Title: "Rounding of 1st Order Quantum Phase Transitions in Low-
Dimensional Systems with Quenched Disorder "

### Jakob Yngvason

Wed, Nov 17, 2010, 2:00 pm to 6:00 pm

Title: Critical velocites in rotating Bose gases

### Birgit Kauffmann

Wed, Nov 10, 2010, 2:00 pm to 6:00 pm

Title: Bethe-Ansatz for the two species totally asymmetric diffusion Model

### David Ruelle, IHES, France

Wed, Oct 27, 2010, 2:00 pm to Fri, Oct 8, 2010, 6:00 pm

Title: Characterization of Lee-Yang polynomials
Abstract: I shall give a characterization of the multi-affine polynomials in n variables that occur in the proof of the Lee-Yang Circle Theorem.

### David Ruelle, IHES, France

Wed, Oct 27, 2010, 2:00 pm to 6:00 pm

Title: Characterization of Lee-Yang polynomials
AAbstract: I shall give a characterization of the multi-affine polynomials in n variables that occur in the proof of the Lee-Yang Circle Theorem.

### Stefano Olla, Universite Paris-Dauphine

Wed, Oct 20, 2010, 2:00 pm to 6:00 pm

Title: From microscopic hamiltonian dynamics to heat equation
Abstract: One of the main problems in non-equilibrium statistical mechanics is to derive, by space-time rescaling, macroscopic irreversible diffusive evolution for the co nserved quantities of an

### Joel Liebowitz -- Rutgers University

Wed, Oct 13, 2010, 2:00 pm to 6:00 pm

Title: "Microscopic Models of Macroscopic Transport: A Selective Overview"