Friday, March 2, 2018 - 10:00am - 10:50am
Liping Liu (Rutgers, The State University Of New Jersey)
We present an energy formulation of continuum electro-elastic and magneto-electro-elastic materials. Based on the principle of minimum free energy, we propose a form of total free energy of the system in three dimensions, and then systematically derive the theories for a hierarchy of materials including dielectric elastomers, piezoelectric ceramics, ferroelectrics, flexoelectric materials, magnetic elastomers, magneto-electric materials, piezo-electric-magnetic materials among others.
Wednesday, July 15, 2009 - 2:00pm - 3:00pm
Eduard Feireisl (Czech Academy of Sciences (AVČR))
Same abstract as lecture 1.
Tuesday, July 14, 2009 - 10:45am - 12:00pm
Eduard Feireisl (Czech Academy of Sciences (AVČR))
Same abstract as lecture 1.
Wednesday, November 5, 2008 - 2:45pm - 3:30pm
We present a possible approach for the computation of free
energies and
ensemble averages of one-dimensional coarse-grained
models in materials science. The approach is based upon a thermodynamic
limit process, and makes use of ergodic theorems and large
deviations theory. In addition to providing a possible efficient
computational strategy for ensemble averages, the approach allows for
assessing the accuracy of approximations commonly used in practice.
This is joint work with X. Blanc (University Paris 6), F. Legoll
Wednesday, June 5, 2013 - 10:15am - 11:00am
Edgar Knobloch (University of California, Berkeley)
The conserved Swift-Hohenberg equation with cubic nonlinearity provides the
simplest microscopic description of the thermodynamic transition from a
fluid state to a crystalline state. The resulting phase field crystal
model describes a variety of spatially localized structures, in addition
to different spatially extended periodic structures. The location of these
structures in the temperature versus mean order parameter plane is
determined using a combination of numerical continuation in one
Monday, May 13, 2013 - 2:00pm - 2:50pm
Hong Qian (University of Washington)
Individual-based population dynamics articulates stochastic behavior of individuals and considers deterministic equations at the population level as an emergent phenomenon. Using chemical species inside a small aqueous volume (a cell) as an example, we introduce Delbrück-Gillespie birth-and-death process for chemical reactions dynamics.
Friday, September 14, 2012 - 9:00am - 9:30am
Gus Hart (Brigham Young University)
First-principles codes can nowadays provide hundreds of high-fidelity enthalpies on thousands of alloy systems with a modest investment of a few tens of millions of CPU hours. But a mere database of enthalpies provides only the starting point for uncovering the alloy genome. What one needs to fundamentally change alloy discovery and design are complete searches over candidate structures (not just hundreds of known experimental phases) and models that can be used to simulate both kinetics and thermodynamics.
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