
2:00 - 3:00 p.m. on Thursday, May 28 in 402 Steidle Building
"Integrating Statistical Physics and Data-Driven Methods for Modeling Inelastic Material Behavior"
Weilun Qiu, Ph.D. Candidate, Mechanical Engineering and Applied Mechanics, University of Pennsylvania
Abstract
This talk will focus on Weilun Qiu's doctoral research and consists of two parts.
In the first part of the seminar, Qiu will introduce his work on data-driven discovery of internal variables. Internal variable theory has been highly successful in continuum mechanics, but its reliance on phenomenological intuition—often without a direct connection to lower-scale structure—can lead to black-box models with uncertain applicability and limited generalizability. Inspired by recent developments in Stochastic Thermodynamics with Internal Variables (STIV), which provides a first-principles-based definition of internal variables, their dynamics, and thermodynamic quantities such as entropy and non-equilibrium free energy, proposing IB-VONNs: a data-driven framework for identifying internal variables as functions of microscopic degrees of freedom, along with the associated constitutive relations. Physical constraints and thermodynamic consistency are incorporated into the framework. Demonstrating the approach using a one-dimensional phase-transforming system governed by Langevin dynamics, Qui will also discuss ongoing applications to the rheology of two-dimensional colloidal systems.
In the second part of the seminar, Qui will discuss his ongoing work on non-equilibrium entropy. A broad class of dynamical systems can be formulated within the framework of the General Equation for Non-Equilibrium Reversible–Irreversible Coupling (GENERIC), which is grounded in statistical mechanics. Building on this structure, he establishes a general identity and an associated numerical method for computing non-equilibrium entropy differences from mesoscopic fluctuation data. This differs from well-established fluctuation theorems, such as the Jarzynski equality, which are primarily used to extract equilibrium free energy differences.
About the Speaker
Weilun Qiu is a fifth-year Ph.D. candidate in the Department of Mechanical Engineering and Applied Mechanics at the University of Pennsylvania (Penn), working with Professor Celia Reina. His research interests include scientific machine learning and statistical mechanics for scale-bridging modeling of mechanics of inelastic materials. Qui received his bacholor of science degree from Peking University.


