Seminars and Colloquia by Series

Introduction to ergodic problems in statistical mechanics (part 3).

Series
Non-Equilibrium Statistical Mechanics Reading Group
Time
Monday, November 14, 2016 - 16:30 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Mikel Viana – Georgia Tech
In this introductory talk we present some basic results in ergodic theory, due to Poincare, von Neumann, and Birkhoff. We will also discuss many examples of dynamical systems where the theory can be applied. As motivation for a broad audience, we will go over the connection of the theory with some classical problems in statistical mechanics (part 3 of 3).

Introduction to ergodic problems in statistical mechanics (part 2).

Series
Non-Equilibrium Statistical Mechanics Reading Group
Time
Monday, November 7, 2016 - 16:30 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Mikel Viana – Georgia Tech
In this introductory talk we present some basic results in ergodic theory, due to Poincare, von Neumann, and Birkhoff. We will also discuss many examples of dynamical systems where the theory can be applied. As motivation for a broad audience, we will go over the connection of the theory with some classical problems in statistical mechanics (part 2 of 3).

Introduction to ergodic problems in statistical mechanics.

Series
Non-Equilibrium Statistical Mechanics Reading Group
Time
Monday, October 31, 2016 - 16:30 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Mikel Viana – Georgia Tech
In this introductory talk we present some basic results in ergodic theory, due to Poincare, von Neumann, and Birkhoff. We will also discuss many examples of dynamical systems where the theory can be applied. As motivation for a broad audience, we will go over the connection of the theory with someclassical problems in statistical mechanics.

Boltzmann's equation and its entropy inequality

Series
Non-Equilibrium Statistical Mechanics Reading Group
Time
Monday, October 3, 2016 - 16:30 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Zaher Hani – GeorgiaTech –
We continue our discussion, started last week, on what we called the "Boltzmann approach" to non-equilibrium statistical physics. We shall start with some remarks concerning the derivation and regimes of validity of the Boltzmann equation for rarefied gases (the Boltzmann-Grad limit). Then we will consider Boltzmann kinetic equation, and prove its H-principle. This corresponds mainly to Chapters 1 and 2 of Dorfman "An introduction to Chaos in Non-equilibrium Statistical Mechanics".

Basics and generalities leading to Boltzmann's kinetic equation

Series
Non-Equilibrium Statistical Mechanics Reading Group
Time
Monday, September 26, 2016 - 16:30 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Zaher Hani – GeorgiaTech –
We will start explaining and formulating the mathematical questions involved in justifying statistical physics from dynamical first principles. We will particularly discuss the approach, suggested by Boltzmann, based on deriving effective equations for the distribution function of a particle system. This will lead us to Boltzmann kinetic equation and its H-principle. This corresponds to Chapters 1 and 2 of Dorfman "An introduction to Chaos in Non-equilibrium Statistical Mechanics".

The second law of thermodynamics /// Statistical mechanics.

Series
Non-Equilibrium Statistical Mechanics Reading Group
Time
Monday, September 19, 2016 - 16:30 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Rafael de la Llave – School of Mathematics, Georgia Tech
We will present the classical formulations (Gibbs, Maxwell, etc.) of the second law of thermodynamics and present the basics of the equilibrium statistical mechanics. The results are all classic and the presentation will be elementary, but we will try to point out some of the more subtle mathematical questions. The main goal of the lectures is to lay the groundwork to proceed to read "J. Dorfman: An introduction to chaos and non-equilibrium statistical mechanics". There will be cookies and some (sugar free) drinks.