3 papers
cond-mat.stat-mech2026
The stochastic discrete nonlinear Schrödinger equation: microscopic derivation and finite-temperature phase transition
Mahdieh Ebrahimi, Barbara Drossel, Wolfram Just
We study a stochastic version of the one-dimensional discrete nonlinear Schr{ö}dinger equation (DNSE), which is derived from first principles, and thus possesses all the propertie…
math-ph2025
Long-term behavior of the master equation on a countable network and approximation methods of the (stationary) solutions via finite subsystems in the thermodynamic limit
Bernd Michael Fernengel, Thilo Gross, Wolfram Just
The Master equation on directed networks - also called the differential Chapman-Kolmogorov equation - is a linear differential equation, which describes the probability evolution i…
nlin.PS2025
Dynamics of localized states in the stochastic discrete nonlinear Schrödinger equation
Mahdieh Ebrahimi, Barbara Drossel, Wolfram Just
We revisit aspects of dynamics and stability of localized states in the deterministic and stochastic discrete nonlinear Schrödinger equation. By a combination of analytic and nume…