Harnack inequalities and discrete-continuous error estimates for a chain of atoms with two-body interactions

DOI10.1007/s10955-008-9662-4zbMath1174.82007OpenAlexW2036533098WikidataQ59158106 ScholiaQ59158106MaRDI QIDQ1012699

Régis Monneau, Jean Dolbeault, Rafael D. Benguria

Publication date: 22 April 2009

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

Full work available at URL: https://doi.org/10.1007/s10955-008-9662-4

zbMATH Keywords

error estimates Harnack inequality thermodynamic limit nonlinear elasticity Cauchy-Born rule two-body interactions discrete-continuous

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Many-body theory; quantum Hall effect (81V70) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (1)

Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates

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