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20152021
most citedVariational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEs

76 citations · 116 across the 5 of their papers we have counts for

collaborators

7 papers

math-ph2021★ 76 cited

Variational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEs

Shenglin Huang, Zequn He, Bryan Chem +1

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

cond-mat.stat-mech2021★ 2 cited

Predicting the unobserved: a statistical mechanics framework for non-equilibrium material response with quantified uncertainty

Shenglin Huang, Ian R. Graham, Robert A. Riggleman +3

Can far-from-equilibrium material response under arbitrary loading be inferred from equilibrium data and vice versa? Can the effect of element transmutation on mechanical behavior…

cond-mat.soft2021★ 38 cited

Relationships among structure, memory, and flow in sheared disordered materials

K. L. Galloway, E. G. Teich, X-g Ma +7

A fundamental challenge for disordered solids is predicting macroscopic yield from the microscopic arrangements of constituent particles. Yield is accompanied by a sudden and large…

math-ph2021

Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: Thermodynamic interpretation and simulation

Matthias Klar, Karsten Matthies, Celia Reina +1

A class of fast-slow Hamiltonian systems with potential describing the interaction of non-ergodic fast and slow degrees of freedom is studied. The parameter $\varep…

math-ph2018

How to find the evolution operator of dissipative PDEs from particle fluctuations?

Xiaoguai Li, Nicolas Dirr, Peter Embacher +2

Dissipative processes abound in most areas of sciences and can often be abstractly written as , which is a gradient flow of the entropy . Although…

cond-mat.stat-mech2017

Computing diffusivities from particle models out of equilibrium

Peter Embacher, Nicolas Dirr, Johannes Zimmer +1

A new method is proposed to numerically extract the diffusivity of a (typically nonlinear) diffusion equation from underlying stochastic particle systems. The proposed strategy req…