An analytical self-consistent solution for the free energy of a 1-D chain of atoms including anharmonic effects

DOI10.1007/s10955-012-0559-xzbMath1257.82070OpenAlexW2098835225MaRDI QIDQ1937065

Woo Kyun Kim, Ellad B. Tadmor

Publication date: 11 February 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-012-0559-x

zbMATH Keywords

free energystatistical mechanicsself-consistent methodlattice dynamicsanharmonic effectsone-dimensional chain

Mathematics Subject Classification ID

Cites Work

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• Heat conduction and entropy production in anharmonic crystals with self-consistent stochastic reservoirs
• Modeling martensitic phase transformations in shape memory alloys with the self-consistent lattice dynamics approach
• Fourier's law for a harmonic crystal with self-consistent stochastic reservoirs
• Modeling Materials
• Thermal conductivity of the Toda lattice with conservative noise
• Finite-temperature coarse-graining of one-dimensional models: mathematical analysis and computational approaches

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