| Full text | |
| Author(s): |
Miranda, Lucas K. A.
[1]
;
Kuwana, Celia M.
[1]
;
Huggler, Yona H.
[1]
;
da Fonseca, Anne K. P.
[1]
;
Yoshida, Makoto
[1]
;
de Oliveira, Juliano A.
[1, 2]
;
Leonel, Edson D.
[1]
Total Authors: 7
|
| Affiliation: | [1] Univ Estadual Paulista, UNESP, Dept Fis, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Estadual Paulista, UNESP, Campus Sao Joao da Boa Vista, Sao Joao Da Boa Vista, SP - Brazil
Total Affiliations: 2
|
| Document type: | Review article |
| Source: | European Physical Journal-Special Topics; DEC 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
The subject approached here is a dynamical phase transition observed in Hamiltonian systems, which is a transition from integrability to non-integrability. Using the dynamics defined by a discrete mapping on the variables action I and angle theta, we perform a description of the behaviour of the chaotic diffusion to particles in the chaotic sea using two methods. One is a phenomenological description obtaining the critical exponents via numerical simulation, and the other is an analytical result obtained by the solution of the diffusion equation. The scaling invariance is observed in the chaotic sea leading to an universal chaotic diffusion. This is a clear signature that the system is passing through a phase transition. We investigate a set of four questions that characterize a phase transition: (1) identify the broken symmetry; (2) define the order parameter; (3) identify what are the elementary excitations and; (4) detect the topological defects which impact on the transport of the particles. (AU) | |
| FAPESP's process: | 20/10602-1 - A study of phase transition in chaotic system |
| Grantee: | Lucas Kenji Arima Miranda |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| 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: | 19/14038-6 - Investigation of dynamical properties in nonlinear systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 20/07219-1 - Chaotic diffusion in time dependent billiards |
| Grantee: | Anne Kétri Pasquinelli da Fonseca |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |