Quantum kicked rotor and its variants: Chaos, localization and beyond

MS Santhanam, S Paul, JB Kannan - Physics Reports, 2022 - Elsevier
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

[HTML][HTML] Bending of kerf chiral fractal lattice metamaterials

W Zhang, R Neville, D Zhang, J Yuan, F Scarpa… - Composite …, 2023 - Elsevier
We describe the out-of-plane bending of kerf chiral fractal lattices metamaterials by using a
combination of theoretical models, full-scale finite elements and experimental tests …

Approximate solutions to fractional subdiffusion equations

J Hristov - The European Physical Journal Special Topics, 2011 - Springer
The work presents integral solutions of the fractional subdiffusion equation by an integral
method, as an alternative approach to the solutions employing hypergeometric functions …

[HTML][HTML] Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept

M Čukić, S Galovic - Chaos, Solitons & Fractals, 2023 - Elsevier
Molecular transport through a composite multilayer membrane is a central process in
transdermal drug delivery (TDD). Classical Fickean approach treats skin as a pseudo …

Anomalous diffusion in random dynamical systems

Y Sato, R Klages - Physical review letters, 2019 - APS
Consider a chaotic dynamical system generating diffusionlike Brownian motion. Consider a
second, nonchaotic system in which all particles localize. Let a particle experience a random …

Double integral-balance method to the fractional subdiffusion equation: approximate solutions, optimization problems to be resolved and numerical simulations

J Hristov - Journal of Vibration and Control, 2017 - journals.sagepub.com
An approximate integral-balance solution of the fractional subdiffusion equation by a double-
integration technique has been conceived. The time-fractional linear subdiffusion equation …

[HTML][HTML] Influence of Local Thermodynamic Non-Equilibrium to Photothermally Induced Acoustic Response of Complex Systems

S Galovic, AI Djordjevic, BZ Kovacevic… - Fractal and …, 2024 - mdpi.com
In this paper, the time-resolved model of the photoacoustic signal for samples with a
complex inner structure is derived including local non-equilibrium of structural elements with …

Cellular automaton models for time-correlated random walks: derivation and analysis

JM Nava-Sedeño, H Hatzikirou, R Klages, A Deutsch - Scientific reports, 2017 - nature.com
Many diffusion processes in nature and society were found to be anomalous, in the sense of
being fundamentally different from conventional Brownian motion. An important example is …

Integral-balance solution to nonlinear subdiffusion equation

J Hristov - Frontiers in Fractional Calculus, 2018 - books.google.com
Improved double-integration technique to approximate integral-balance solutions of non-
linear fractional subdiffusion equations has been conceived. The time-fraction subdiffusion …

Global and local diffusion in the standard map

M Harsoula, G Contopoulos - Physical Review E, 2018 - APS
We study the global and the local transport and diffusion in the case of the standard map, by
calculating the diffusion exponent μ. In the global case, we find that the mean diffusion …