One-dimensional harmonic lattice caricature of hydrodynamics

DOI10.1007/BF01020654zbMath0629.76003OpenAlexW2026817156MaRDI QIDQ1094217

Yu. M. Sukhov, Roland Lvovich Dobrushin, Alessandro Pellegrinotti, Livio Triolo

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01020654

zbMATH Keywords

hydrodynamic limitone-dimensional latticeGibbs statesequilibrium parametersharmonic time evolutioninfinite classical oscillator systemspectral-density matrix function

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of liquids (82D15) Foundations of fluid mechanics (76A02) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items

Energy transport in stochastically perturbed lattice dynamics ⋮ The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics ⋮ Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions ⋮ Derivation of a hydrodynamic equation for Ginzburg-Landau models in an external field ⋮ Deriving hydrodynamic equations for lattice systems ⋮ Transport equation for the harmonic crystal coupled to a Klein-Gordon field ⋮ Caricature of hydrodynamics for lattice dynamics ⋮ Hydrodynamic limit for a disordered harmonic chain ⋮ One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation. ⋮ Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms ⋮ Roland L. Dobrushin (1929–1995) ⋮ A family of fractional diffusion equations derived from stochastic harmonic chains with long-range interactions ⋮ Equilibration of energies in a two-dimensional harmonic graphene lattice ⋮ Lattice dynamics in the half-space. Energy transport equation ⋮ Entropy growth during free expansion of an ideal gas

Cites Work

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• Random point processes and DLR equations
• Statistical mechanics of a one-dimensional lattice gas
• Superstable interactions in classical statistical mechanics
• Dynamic properties of composite materials of stochastic structure
• Existence and uniqueness of DLR measures for unbounded spin systems
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