77 citations · 576 across the 59 of their papers we have counts for
9 papers · 1 filter
Geometric aspects of a spin chain
Michael Entov, Leonid Polterovich, Lenya Ryzhik
We discuss non-equilibrium thermodynamics of the mean field Ising model from a geometric perspective, focusing on the thermodynamic limit. When the number of spins is finite, the G…
Kinetic limit for a chain of harmonic oscillators with a point Langevin thermostat
Tomasz Komorowski, Stefano Olla
We consider an infinite chain of coupled harmonic oscillators with a Langevin thermostat attached at the origin and energy, momentum and volume conserving noise that models the col…
High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat
Tomasz Komorowski, Stefano Olla, Lenya Ryzhik +1
We consider an infinite chain of coupled harmonic oscillators with a Langevin thermostat at the origin. In the high frequency limit, we establish the reflection-transmission coeffi…
The weak coupling limit for the random Schrödinger equation: The average wave function
Thomas Chen, Tomasz Komorowski, Lenya Ryzhik
We consider the Schrödinger equation with a time-independent weakly random potential of a strength , with Gaussian statistics. We prove that when the initial condition vari…
The random Schrödinger equation: slowly decorrelating time-dependent potentials
Yu Gu, Lenya Ryzhik
We analyze the weak-coupling limit of the random Schrödinger equation with low frequency initial data and a slowly decorrelating random potential. For the probing signal with a suf…
The random Schrödinger equation: homogenization in time-dependent potentials
Yu Gu, Lenya Ryzhik
We analyze the solutions of the Schrödinger equation with the low frequency initial data and a time-dependent weakly random potential. We prove a homogenization result for the low…