Roadmap on multiscale materials modeling

E Van Der Giessen, PA Schultz, N Bertin… - … and Simulation in …, 2020 - iopscience.iop.org
Modeling and simulation is transforming modern materials science, becoming an important
tool for the discovery of new materials and material phenomena, for gaining insight into the …

Machine learning structure preserving brackets for forecasting irreversible processes

K Lee, N Trask, P Stinis - Advances in Neural Information …, 2021 - proceedings.neurips.cc
Forecasting of time-series data requires imposition of inductive biases to obtain predictive
extrapolation, and recent works have imposed Hamiltonian/Lagrangian form to preserve …

The fourth law of thermodynamics: steepest entropy ascent

GP Beretta - … Transactions of the Royal Society A, 2020 - royalsocietypublishing.org
When thermodynamics is understood as the science (or art) of constructing effective models
of natural phenomena by choosing a minimal level of description capable of capturing the …

Diffusion-jump model for the combined Brownian and Néel relaxation dynamics of ferrofluids in the presence of external fields and flow

P Ilg - Physical Review E, 2019 - APS
Relaxation of suspended magnetic nanoparticles occurs via Brownian rotational diffusion of
the particle as well as internal magnetization dynamics. The latter is often modeled by the …

Time–energy and time–entropy uncertainty relations in nonequilibrium quantum thermodynamics under steepest-entropy-ascent nonlinear master equations

GP Beretta - Entropy, 2019 - mdpi.com
In the domain of nondissipative unitary Hamiltonian dynamics, the well-known Mandelstam–
Tamm–Messiah time–energy uncertainty relation τ F Δ H≥ ℏ/2 provides a general lower …