We propose a thermodynamics-based learning strategy for non-equilibrium evolution
equations based on Onsager's variational principle, which allows us to write such PDEs in …

We reconsider the fundamental problem of coarse-graining infinite-dimensional Hamiltonian
dynamics to obtain a macroscopic system which includes dissipative mechanisms. In …

Far-from-equilibrium phenomena are critical to all natural and engineered systems, and
essential to biological processes responsible for life. For over a century and a half, since …

Even when microscopic particle dynamics is purely mechanistic and thus reversible, the
behavior of macroscopic systems composed of those particles is irreversible. In other words …

We investigate the effect of coarse graining on the thermodynamic properties of a system,
focusing on entropy production. As a case of study, we consider a one-dimensional colloidal …

Abstract Machine learning, with its remarkable ability for retrieving information and
identifying patterns from data, has emerged as a powerful tool for discovering governing …

Inelastic deformation of solids is almost always, if not always, associated with the evolution
of discrete defects such as dislocations, vacancies, twins and shear transformation zones …

The Eulerian distortion field is an essential ingredient for the continuum modeling of finite
elastic and inelastic deformations of materials; however, its relation to finer levels of …

Traditionally, stress fluctuations in flowing and deformed materials are overlooked, with an
obvious focus on average stresses in a continuum mechanical approximation. However …

The classical approaches to the derivation of the (generalized) Mass Action Law (MAL)
assume that the intermediate transition state (i) has short life time and (ii) is in partial …