Dynamical Phase Transitions in Chaotic Systems

14.07.2023

Englisch

9789819922437

Springer Singapore

Nonlinear Physical Science

Nein

Edson Denis Leonel

74

Gebundene Ausgabe

Edson Denis Leonel is a Professor of Physics at São Paulo State University, Rio Claro, Brazil. He has been dealing with scaling investigation since his Ph.D. in 2003, where the first scaling investigation in the chaotic sea for the Fermi-Ulam model was studied. His research group developed different approaches and formalisms to investigate and characterize the several scaling properties in a diversity types of systems ranging from one-dimensional mappings, passing to ordinary differential equations, cellular automata, meme propagations, and also in the time-dependent billiards. There are different types of transition we considered and discussed in these scaling investigations: (i) transition from integrability to non-integrability; (ii) transition from limited to unlimited diffusion; and (iii) production and suppression of Fermi acceleration. The latter approach involves the analytical solution of the diffusion equation. His group and he published more than 160 scientific papers in respected international journals, including three papers in Physical Review Letters. He is the Author of “Scaling Laws in Dynamical Systems” (2021) by Springer and Higher Education Press and two Portuguese books, one dealing with statistical mechanics (2015) and the other one dealing with nonlinear dynamics (2019), both edited by Blucher.

Scaling laws in nonlinear systems, Phase transition from limited to unlimited diffusion, Transition from integrability to non-integrability, Scaling invariance in chaotic diffusion, Chaotic Systems

GPFC - Kybernetik und Systemtheorie PBK - Mathematische Analysis, allgemein PHFC - Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik)

235 mm

15.5 cm