| Full text | |
| Author(s): |
Leonel, Edson D.
;
Kuwana, Celia M.
;
Oliveira, Diego F. M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICA D-NONLINEAR PHENOMENA; v. 472, p. 5-pg., 2024-02-24. |
| Abstract | |
The unbounded diffusion observed for the standard mapping in a regime of high nonlinearity is suppressed by dissipation due to the violation of Liouville's theorem. The diffusion coefficient becomes important for the description of scaling invariance particularly for the suppression of the unbounded action diffusion. When the dynamics start in the regime of low action, the diffusion coefficient remains constant for a long time, guaranteeing the diffusion for an ensemble of particles. Eventually, it evolves into a regime of decay, marking the suppression of particle action growth. We prove it is scaling invariant for the control parameters and the crossover time identifying the changeover from the constant domain, leading to diffusion, for a regime of decay marking the saturation of the diffusion, scales with the same critical exponent z = -1 fora transition from bounded to unbounded diffusion in a dissipative time dependent billiard system. (AU) | |
| FAPESP's process: | 19/14038-6 - Investigation of dynamical properties in nonlinear systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 21/09519-5 - Characterization of phase transitions in nonlinear systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |