Research Activities > Programs > Complex Fluids 2007

On the role of free energy in complex systems: from rigorous results to phenomenological models


CSIC Building (#406), Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions


On the role of free energy in complex systems: from rigorous results to phenomenological models

 

Professor Ibrahim Fatkullin

University of Arizona 


Abstract:   The concept of free energy has been actively employed in studies of complex systems for many decades. Yet there exist several intriguing mysteries about it that remain poorly understood. For example, its relation to nonequilibrium processes (as introduced in rigorous statistical mechanics, it is a purely equilibrium concept) and the reasons that gradient flows induced by free energy functionals (e.g, Doi-Smoluchowski, Allen-Cahn, Cahn-Hilliard, and many other equations describe gradient flow evolutions in various function spaces) often appear as adequate phenomenological models of macroscopic phenomena. In this talk I will try to shed some light on these issues and illustarate the associated ideas and methods using examples from physics of liquid crystals and polymers.

University of Maryland    

UM Home | Directories | Calendar
Maintained by CSCAMM
Direct questions and comments to

CSCAMM is part of the
College of Computer, Mathematical & Natural Sciences (CMNS)