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Thermalization Universality-Class Transition Induced by Anderson Localization
Weihua Zhang, Gabriel M. Lando, Barbara Dietz +1
We study the disorder-induced crossover between the two recently discovered thermalization slowing-down universality classes -- characterized by long- and short-range coupling -- i…
Dynamical chaos in the integrable Toda chain induced by time discretization
Carlo Danieli, Emil A. Yuzbashyan, Boris L. Altshuler +2
We use the Toda chain model to demonstrate that numerical simulation of integrable Hamiltonian dynamics using time discretization destroys integrability and induces dynamical chaos…
Thermalization dynamics of macroscopic weakly nonintegrable maps
Merab Malishava, Sergej Flach
We study thermalization of weakly nonintegrable nonlinear unitary lattice dynamics. We identify two distinct thermalization regimes close to the integrable limits of either linear…
Frequency map analysis of spatiotemporal chaos in the nonlinear disordered Klein-Gordon lattice
Charalampos Skokos, Enrico Gerlach, Sergej Flach
We study the characteristics of chaos evolution of initially localized energy excitations in the one-dimensional nonlinear disordered Klein-Gordon lattice of anharmonic oscillators…
Lyapunov spectrum scaling for classical many-body dynamics close to integrability
Merab Malishava, Sergej Flach
We propose a novel framework to characterize the thermalization of many-body dynamical systems close to integrable limits using the scaling properties of the full Lyapunov spectrum…
Fragile Many Body Ergodicity
Thudiyangal Mithun, Carlo Danieli, M. V. Fistul +2
Weakly nonintegrable many-body systems can restore ergodicity in distinctive ways depending on the range of the interaction network in action space. Action resonances seed chaotic…
Dynamical glass in weakly non-integrable Klein-Gordon chains
Carlo Danieli, Thudiyangal Mithun, Yagmur Kati +2
Integrable many-body systems are characterized by a complete set of preserved actions. Close to an integrable limit, a {\it nonintegrable} perturbation creates a coupling network i…
Weakly nonergodic dynamics in the Gross--Pitaevskii lattice
Mithun Thudiyangal, Yagmur Kati, Carlo Danieli +1
The microcanonical Gross--Pitaevskii (aka semiclassical Bose-Hubbard) lattice model dynamics is characterized by a pair of energy and norm densities. The grand canonical Gibbs dist…
Analyzing Chaos in Higher Order Disordered Quartic-Sextic Klein-Gordon Lattices Using -Statistics
Chris G. Antonopoulos, Charalampos Skokos, Tassos Bountis +1
In the study of subdiffusive wave-packet spreading in disordered Klein-Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite…
Intermittent many-body dynamics at equilibrium
C. Danieli, D. K. Campbell, S. Flach
The equilibrium value of an observable defines a manifold in the phase space of an ergodic and equipartitioned many-body system. A typical trajectory pierces that manifold infinite…
Spreading, Nonergodicity, and Selftrapping: a puzzle of interacting disordered lattice waves
Sergej Flach
Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insul…
Nonlinear Lattice Waves in Random Potentials
Sergej Flach
Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insul…
The two-stage dynamics in the Fermi-Pasta-Ulam problem: from regular to diffusive behavior
Antonio Ponno, Helen Christodoulidi, Charalampos Skokos +1
A numerical and analytical study of the relaxation to equilibrium of both the Fermi-Pasta-Ulam (FPU) alpha-model and the integrable Toda model, when the fundamental mode is initial…
Wave interactions in localizing media - a coin with many faces
J. D. Bodyfelt, T. V. Laptyeva, G. Gligoric +3
A variety of heterogeneous potentials are capable of localizing linear non-interacting waves. In this work, we review different examples of heterogeneous localizing potentials whic…
The crossover from strong to weak chaos for nonlinear waves in disordered systems
T. V. Laptyeva, J. D. Bodyfelt, D. O. Krimer +2
We observe a crossover from strong to weak chaos in the spatiotemporal evolution of multiple site excitations within disordered chains with cubic nonlinearity. Recent studies have…