From the 1 of 6 linked papers with an AI index.
6 papers
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…
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…
The Gaussian structure of a perturbed KPZ
Yu Gu, Tomasz Komorowski
We study the KPZ equation on a circle with an additive spatial perturbation , where is a spacetime white noise and is…
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…
Periodically Driven anharmonic chain: Convergent Power Series and Numerics
Pedro L. Garrido, Tomasz Komorowski, Joel L. Lebowitz +1
We investigate the long time behavior of a pinned chain of oscillators, indexed by . The system is subjected to an external driving force on the parti…
Homogenization of stable-like operators with random, ergodic coefficients
Tomasz Klimsiak, Tomasz Komorowski, Lorenzo Marino
We show homogenization for a family of -valued stable-like processes , , whose (random) Fourier symbols equal $q_ε(x,ξ;θ)=\frac…