Statistical foundations of liquid-crystal theory. I: Discrete systems of rod-like molecules

DOI10.1007/s00205-012-0550-3zbMath1366.82061OpenAlexW1983254769WikidataQ42142083 ScholiaQ42142083MaRDI QIDQ1762428

Brian Seguin, Eliot Fried

Publication date: 26 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc3679949

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Crystals in solids (74N05)

Related Items (8)

On the modeling of transport phenomena in continuum and statistical mechanics ⋮ Calculating the Bending Moduli of the Canham–Helfrich Free-Energy Density ⋮ Thermodynamic and rate variational formulation of models for inhomogeneous gradient materials with microstructure and application to phase field modeling ⋮ Recent developments of analysis for hydrodynamic flow of nematic liquid crystals ⋮ On the mechanical modeling of matter, molecular and continuum ⋮ Statistical foundations of liquid-crystal theory. II: Macroscopic balance laws ⋮ Microphysical derivation of the Canham-Helfrich free-energy density ⋮ Reviewing the roots of continuum formulations in molecular systems. Part III: Stresses, couple stresses, heat fluxes

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