Thermal boundaries in kinetic and hydrodynamic limits

DOI10.1007/978-3-030-82946-9_11zbMath1497.82016arXiv2010.04721OpenAlexW4205936650MaRDI QIDQ2090157

Tomasz Komorowski, Stefano Olla

Publication date: 24 October 2022

Full work available at URL: https://arxiv.org/abs/2010.04721

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (1)

Asymptotic scattering by Poissonian thermostats

Cites Work

• Ten equivalent definitions of the fractional Laplace operator
• Energy transport in stochastically perturbed lattice dynamics
• The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics
• Limit theorems for additive functionals of a Markov chain
• High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat
• Fractional diffusion limit for a kinetic equation with an interface
• Diffusion limit for a kinetic equation with a thermostatted interface
• Superdiffusion of energy in a chain of harmonic oscillators with noise
• Asymptotic scattering by Poissonian thermostats
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