Dynamics, topological defects and phase transitions in two-dimensional systems.
Dynamics, topological defects and phase transitions in ordered media
Explorations in Axelrod's model: non-equilibrium phase transitions, diffusion of i...
| Full text | |
| Author(s): |
Lazarotto, Matheus J.
;
Caldas, Ibere L.
;
Elskens, Yves
Total Authors: 3
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 112, p. 18-pg., 2022-09-01. |
| Abstract | |
Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft"billiard, classically modeled from an optical lattice Hamiltonian system, is used to study diffusion transitions under variation of the control parameters. Sudden transitions between normal and ballistic regimes are found and characterized by inspection of topological changes in phase-space. Transitions correlated with increases in global stability area are shown to occur for energy levels where local maxima points become accessible, deviating trajectories approaching them. These instabilities promote a slowing down of the dynamics and an island myriad bifurcation phenomenon, along with the suppression of long flights within the lattice. Other diffusion regime variations occurring within small intervals of control parameters are shown to be related to the emergence of a set of orbits with long flights, thus altering the total average displacement for long integration times but without global changes in phase-space.(c) 2022 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |