boundary conditions 1fractional heat equation 1harmonic chain 1stochastic dynamics 1superdiffusion 1
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math-ph2026
Boundary Thermalization in Superdiffusive Energy Transport
Tomasz Komorowski, Stefano Olla
The paper rigorously derives a fractional heat equation with novel non‑local boundary conditions for the macroscopic temperature profile of a finite one‑dimensional harmonic chain…
math-ph2026
Thermal boundary conditions in fractional superdiffusion of energy
Tomasz Komorowski, Stefano Olla
We study heat conduction in a one-dimensional {finite}, unpinned chain of atoms perturbed by stochastic momentum exchange and coupled to Langevin heat baths at {possibly} distinct…
math-ph2026
Convergent Power Series for Anharmonic Chain with Periodic Forcing
Pedro L. Garrido, Tomasz Komorowski, Joel L. Lebowitz +1
We study the propagation of energy in one-dimensional anharmonic chains subject to a periodic, localized forcing. For the purely harmonic case, forcing frequencies outside the line…