Welcome to the second of two lecture series in Brescia
7-10 Settembre
Prof. Dr. Ing. Signe Kjelstrup
Non-Equilibrium Thermodynamics:
Foundations and Applications
13-16 Settembre
Prof. Dr. Dick Bedeaux
Non-Equilibrium Thermodynamics of Heterogeneous Systems:
The Square-Gradient Model
Why these two invited lecture series in Brescia?
7-10 Settembre
Prof. Dr. Ing. Signe Kjelstrup
Non-Equilibrium Thermodynamics:
Foundations and Applications
13-16 Settembre
Prof. Dr. Dick Bedeaux
Non-Equilibrium Thermodynamics of Heterogeneous Systems:
The Square-Gradient Model
Teaching Thermodynamics to Engineers
• Not just stable and homogeneous equilibrium states, folks!
• Stop teaching entropy as an equilibrium-only property!
• Nonequilibrium is central in industrial research in all fields
•Heterogeneous states (capillary and surface tension
phenomena) dominate the micro- nano- bio- world
• The next generation of engineers, physicists,
chemists, and biologists must learn to team up to
gain better control of nonequilibrium states
and take fuller advantage of their
spontaneous tendency towards equilibrium
Interface description
Interface description
Cahn-Hilliard theory
also van der Waals square gradient model
or diffuse interface or phase field model
Filling the gaps between physics, chemistry, and engineering
7-10 Settembre
Prof. Dr. Ing. Signe Kjelstrup
Non-Equilibrium Thermodynamics:
Foundations and Applications
13-16 Settembre
Prof. Dr. Dick Bedeaux
Non-Equilibrium Thermodynamics of Heterogeneous Systems:
The Square-Gradient Model
Don't forget pioneering contributions by others to the same goal,
e.g., by the Keenan school of Thermodynamics:
from engineering, to physics, to mathematical-physics, and back!
Keenan
MIT press 1941
Hatsopoulos-Keenan
Wiley 1965
Gyftopoulos-Beretta
Macmillan 1991
(Dover 2005)
Keenan Symposium
MIT 2008