SYMMETRY, INVARIANCE AND THE STRUCTURE OF MATTER

DOI10.1142/9789813272880_0208zbMath1453.82082OpenAlexW2973206749MaRDI QIDQ5122184

Richard D. James

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789813272880_0208

zbMATH Keywords

symmetryBoltzmann equationMaxwell's equationsisometry groupsatomic structuremolecular dynamicsinvariant manifoldnon-equilibrium statistical mechanicsobjective structureshomoenergetic solutionsX-ray methods

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Atomic physics (81V45) Electromagnetic theory (general) (78A25) Other geometric groups, including crystallographic groups (20H15) Waves and radiation in optics and electromagnetic theory (78A40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Boltzmann equations (35Q20) Orthogonal and unitary groups in metric geometry (51F25) Statistical mechanics in condensed matter (general) (82D03)

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Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations

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