This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $259,999, will support research into dynamical evolutions in complex, high-dimensional energy landscapes. Specifically, the awardee, Northwestern University, will investigate Markov chain dynamics arising from spin systems in statistical physics, which serve as prototypical examples for protein folding, evolutionary dynamics, out-of-equilibrium thermodynamics, and neural network training. The research focuses on three settings: spin systems like the Ising and Potts models on lattices; random surfaces and interfaces between thermodynamic phases; and disordered mean-field models like spin glasses in high dimensions. The project aims to understand convergence times to equilibrium for these diverse dynamical processes as boundary conditions, initializations, and state space restrictions are varied. It also includes outreach to broaden participation in mathematics and promote STEM education locally.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $260.0k | 3/29/23 |