About
Contact & Profiles
A5001508015
Research Areas
- Cold Atom Physics and Bose-Einstein Condensates
- Random lasers and scattering media
- Nonlinear Dynamics and Pattern Formation
- Quantum optics and atomic interactions
- Theoretical and Computational Physics
University of North Carolina at Charlotte
2024
We study the non-stationary Anderson parabolic problem on lattice Zd, i.e., equation ∂u∂t=ϰAu(t,x)+ξt(x)u(t,x),u(0,x)≡1,(t,x)∈[0,∞)×Zd. Here A is a non-local difference operator, ξt(x), t ≥ 0, x ∈ family of correlated white noises and ϰ > 0 diffusion coefficient. The changes (large vs small) are responsible for qualitative phase transition in model. At first step analysis model reduced to solution stochastic differential (in standard Itô’s form) weighted Hilbert space l2(Zd, μ) with...
10.1063/5.0151596
article
EN
Journal of Mathematical Physics
2024-12-01
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