| Full text | |
| Author(s): |
de Oliveira, Juliano A.
;
Perre, Rodrigo M.
;
Mendez-Bermudez, J. A.
;
Leonel, Edson D.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 103, n. 1, p. 6-pg., 2021-01-13. |
| Abstract | |
We investigate the escape of particles from the phase space produced by a two-dimensional, nonlinear and discontinuous, area-contracting map. The mapping, given in action-angle variables, is parametrized by K and gamma which control the strength of nonlinearity and dissipation, respectively. We focus on two dynamical regimes, K < 1 and K >= 1, known as slow and quasilinear diffusion regimes, respectively, for the area-preserving version of the map (i.e., when gamma = 0). When a hole of hight h is introduced in the action axis we find both the histogram of escape times P-E( n) and the survival probability P-S( n) of particles to be scale invariant, with the typical escape time n(typ) = exp < ln n >; that is, both P-E(n/n(typ)) and P-S(n/n(typ)) define universal functions. Moreover, for gamma << 1, we show that n(typ) is proportional to h(2)/D, where D is the diffusion coefficient of the corresponding area-preserving map that in turn is proportional to K-5/2 and K-2 in the slow and the quasilinear diffusion regimes, respectively. (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: | 18/14685-9 - Transport properties and bifurcation analysis in nonlinear dynamical systems |
| Grantee: | Juliano Antonio de Oliveira |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/06931-2 - Random matrix theory approach to complex networks |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |