Tentative Program

Updated November 17, 2015
Day
Thursday, November 5, 2015
Break
09:15 – 09:45 Registration
Parallel Sessions
09:45 – 11:00
Place
Plenary Session Amphitheater Hermite From classical electrostatics to quantum electrodynamics: approach from first principles
Chairperson:
Talk
09:45 – 10:00 Amphitheater Hermite, November, 5
speaker-564644a48971a Angel Alastuey (Physique, ENS-Lyon) Introduction
Talk
10:00 – 10:30 Amphitheater Hermite, November, 5
speaker-5601ab9e93e7b Joel Lebowitz (Rutgers University) Coulomb Systems: Thermodynamics, Fluctuations, Large Deviations and Rigidity
abstract

The properties of ordinary macroscopic matter are almost entirely determined by Coulomb interactions. Here I will give a brief survey of some exact results for such systems.

Talk
10:30 – 11:00 Amphitheater Hermite, November, 5
speaker-5601b0b351a1b Ladislav Šamaj (Slovak Acad. of Sciences) Counterions Near a Charged Wall: Exact Results for Two-Dimensional Geometries
abstract

Large colloids, when immersed in a polar solvent like water, become charged by a fixed surface charge density, compensated by mobile “counterions”. Such sparse classical systems of particles exhibit poor screening properties, so the validity of standard Coulomb sum rules is questionable. The counterions mediate an effective interaction between like-charged colloids, which may be attractive at low enough temperatures. I shall concentrate on two-dimensional models with the logarithmic interaction potential, going from the finite disc to the semi-infinite planar geometry of the confining domain. For any coupling constant being a positive even integer, using an anticommuting representation of the partition function and many-body particle densities, a sequence of sum rules is derived. The amplitude function, which characterizes the asymptotic inverse-power law behavior of the two-body density along the wall, is found to be related to the particle density profile. The dielectric susceptibility tensor has the anticipated disc value in the thermodynamic limit, in spite of zero contribution from the bulk region.

Break
11:00 – 11:30 Coffee break
Parallel Sessions
11:30 – 12:30
Place
Plenary Session Amphitheater Hermite From classical electrostatics to quantum electrodynamics: approach from first principles
Chairperson:
Talk
11:30 – 12:00 Amphitheater Hermite, November, 5
speaker-5601ac2ae05ab Philippe André Martin (EPFL) Casimir effect at finite temperature : inert versus living conductors
Talk
12:00 – 12:30 Amphitheater Hermite, November, 5
speaker-5601ad04e909d Elliott Lieb (PU) Indirect Coulomb Energy with Gradient Correction
abstract

We prove a Lieb-Oxford-type inequality on the indirect part of the Coulomb energy (also known as the exchange-correlation energy) of a general many-particle quantum state, with a lower constant than the original one, but involving an additional gradient correction. The result is similar to an inequality of Benguria, Bley and Loss, except that our correction term is purely local, which is more usual for density functional theory. No previous knowledge of the subject will be assumed; a very short tutorial on the subject and its importance to quantum chemistry will be presented. (Joint work with Mathieu Lewin)

Break
12:30 – 14:30 Lunch time Comment: (lunch is not provided by the conference)
Parallel Sessions
14:30 – 16:00
Place
Plenary Session Amphitheater Hermite In and out of equilibrium solvable models
Chairperson:
Talk
14:30 – 15:00 Amphitheater Hermite, November, 5
speaker-5601adefa1934 Bernard Derrida (LPS) The Fisher KPP equation: an exactly soluble version
Talk
15:00 – 15:30 Amphitheater Hermite, November, 5
speaker-5601ae2d51568 Tomohiro Sasamoto (Inst. of Technology) The 1D KPZ equation: exact solutions and universality
abstract

We discuss recent developments on the one dimensional KPZ equation and its universality. We first show the exact solutions for the height distribution and stationary two point correlation functions. Then we explain various generalizations and applications. We introduce a few new models in the KPZ class with some possible applications, and also discuss wide applicability of the KPZ universality in various contexts.

Talk
15:30 – 16:00 Amphitheater Hermite, November, 5
speaker-5601ae8cc46a3 Grégory Schehr (LPTMS) Top eigenvalue of a random matrix: large deviations and third order phase transition
Break
16:00 – 16:30 Coffee break
Parallel Sessions
16:30 – 17:30
Place
Plenary Session Amphitheater Hermite
Chairperson:
Talk
16:30 – 17:00 Amphitheater Hermite, November, 5
speaker-5601aeb43e0fb Françoise Cornu (LPT-Orsay) Current fluctuation relations : from fixed-time to first-passage time measurements. A solvable model as an example
Break
17:00 – 17:30 Human rights session, chairman J. Lebowitz
Break
17:30 – 17:45 Break in the IHP hall
Parallel Sessions
17:45 – 18:15 description to be given…
Place
Plenary Session Amphitheater Hermite
Chairperson:
Talk
17:45 – 18:15 Amphitheater Hermite, November, 5
speaker-5601aedfb6dca Jean-Marc Jancovici (MINES ParisTech) Sticking to the law of conservation and the rule of three
Day
Friday, November 6, 2015
Parallel Sessions
10:00 – 11:00
Place
Plenary Session Amphitheater Hermite Phase transitions
Chairperson:
Talk
10:00 – 10:30 Amphitheater Hermite, November, 6
speaker-5601af0e2bebf Jean Dalibard (Collège de France) Two-dimensional physics and Kosterlitz-Thouless transition: The superfluid order in cold atom gases
Talk
10:30 – 11:00 Amphitheater Hermite, November, 6
speaker-5601629a3f321 Angel Alastuey (Physique, ENS-Lyon) Sum rules for ionic fluids and critical behaviours
Break
11:00 – 11:30 Coffee Break
Parallel Sessions
11:30 – 12:30
Place
Plenary Session Amphitheater Hermite Phase transitions
Chairperson:
Talk
11:30 – 12:00 Amphitheater Hermite, November, 6
speaker-560163388cb2f Jean-Noël Aqua (INSP) When charge and density fluctuations critically couple
Talk
12:00 – 12:30 Amphitheater Hermite, November, 6
speaker-5601af3feb937 Édouard Brézin (LPTENS) Can the renormalization group lead to exact results?
Break
12:30 – 14:30 Lunch time Comment: (lunch is not provided by the conference)
Parallel Sessions
14:30 – 16:00
Place
Plenary Session Amphitheater Hermite Kinetic theory
Chairperson: Jean-Michel Caillol (LPT-Orsay)
Talk
14:30 – 15:00 Amphitheater Hermite, November, 6
speaker-560173f6e7076 Jean-Pierre Hansen (Chem. Dept.) Can Equilibrium Statistical Mechanics provide a Clue to the Transition From a Supercooled Liquid to an “Ideal Glass”?
Talk
15:00 – 15:30 Amphitheater Hermite, November, 6
speaker-5601afb8d17b2 Jaroslaw Piasecki (Fac. of Physics) Critical correlations and hierarchy equations
abstract

In the classical theory of fluids the derivatives with respect to particle density of correlation functions of order are related to spatial integrals of correlation functions of order . We study the corresponding infinite hierarchy of equations and the resulting generalized compressibility equations. We show that the critical behaviour requires taking into account correlation functions of arbitrary order. Critical exponents corresponding to integrated -particle spatial correlations are shown to grow linearly with order . We prove that the application of the superposition approximation expressing higher order correlations in terms of lower order ones precludes the existence of a critical point. We also comment on some predictions emerging from the YGB hierarchy.

Talk
15:30 – 16:00 Amphitheater Hermite, November, 6
speaker-560179dbd5dc9 Émmanuel Trizac (LPTMS) A kinetic theory approach to adiabaticity shortcuts
abstract

Inspired from H-theorem requirements, a novel class of exact solutions to the quantum or classical Boltzmann equation is uncovered. These solutions, valid for arbitrary collision laws, hold for time-dependent confinement. We exploit them, in a reverse-engineering perspective, to work out a protocol that shortcuts any adiabatic transformation between two equilibrium states in an arbitrarily short time span, for an interacting system. Particle simulations corroborate the analytical predictions.

Collaboration with David Guéry-Odelin (LCAR, Toulouse).

Break
16:00 – 16:30 Coffee break
Parallel Sessions
16:30 – 17:45
Place
Plenary Session Amphitheater Hermite
Chairperson:
Talk
16:30 – 17:00 Amphitheater Hermite, November, 6
speaker-5601b0e87c153 Hendrik Jan Hilhorst (LPT-Orsay) Extreme events in Poisson-Voronoi tessellations
abstract

Given a set of point-like “seeds” in -dimensional Euclidean space, the associated Voronoi tessellation is the partitioning of space into cells such that each point of space is in the cell of the seed to which it is closest. In the case of independent and uniformly distributed seeds one speaks of a Poisson-Voronoi tessellation. We will discuss the statistical properties of rare or “extreme” cells: those (in ) that have a large number of sides; or (in ) that have a large number of faces, or that have a face with a large number of edges. Calculating the probability of such events reveals the entropic forces that are at play. Whereas microscopically we are facing a stochastic many-body problem, we will show that macroscopically there arise deterministic laws when , , or .

Talk
17:00 – 17:30 Amphitheater Hermite, November, 6
speaker-5601ad740791c Oliver Penrose (Heriot-Watt Univ.) Negative absolute temperatures: facts and myths
Break
17:30 – 17:45 Conclusion
Web development: Thierry Masson (CPT, Marseille)