Tarbiat Modares University

Dear All,

Salaam

Math Pure Seminar this week will be held on Tuesday 10:30-12, Ordibehesht 14^th .

Simple Mathematical Models for Complex Physical Phenomena

by  Mehrdad Shahshahani

Sharif University of Technology

Abstract:

Thermodynamics and Statistical Physics address very complex physical phenomena that often are not tractable through the analysis of the governing differential equations from mechanics or electrodynamics.  The concept of entropy, for example, grew out of an attempt to understand basic thermodynamic observations.  Models have been developed by empirical scientists and physicists and analyzed extensively by mathematicians, among others, to understand these basic phenomena.  Much of the emphasis in the past had been on understanding the equilibrium states and relaxation time to equilibrium in statistical physics, but the Ising and Heisenberg models were devised to address phase transition.  These models, and their ramifications, have been the subject of very sophisticated mathematical analysis with diverse applications.  In this lecture I will explain two simple combinatorial mathematical models that exhibit the phenomena of phase transition and the emergence of local equilibria long ahead of global equilibrium.  Their relationship to actual physical problems is tenuous but they exhibit similar phenomena in a purely mathematical environment.

Tuesday, May. 03, 2016, 10:30:00-12:00( Ordibehesht 14^th )

3401, Seminar Room, Mathematics Bldg. TMU

Best Regrads,

Khosro Tajbakhsh

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