The effect of temperature on generic stable periodic structures in the parameter space of dissipative relativistic standard map
| Autor: | Ana C.C. Horstmann, Holokx A. Albuquerque, Cesar Manchein |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Chaotic FOS: Physical sciences Lyapunov exponent Standard map Parameter space Dissipation Condensed Matter Physics Nonlinear Sciences - Chaotic Dynamics 01 natural sciences 010305 fluids & plasmas Electronic Optical and Magnetic Materials Periodic function symbols.namesake Gaussian noise 0103 physical sciences Dissipative system symbols Statistical physics Chaotic Dynamics (nlin.CD) 010306 general physics |
| Popis: | In this work, we have characterized changes in the dynamics of a two-dimensional relativistic standard map in the presence of dissipation and specially when it is submitted to thermal effects modeled by a Gaussian noise reservoir. By the addition of thermal noise in the dissipative relativistic standard map (DRSM) it is possible to suppress typical stable periodic structures (SPSs) embedded in the chaotic domains of parameter space for large enough temperature strengths. Smaller SPSs are first affected by thermal effects, starting from their borders, as a function of temperature. To estimate the necessary temperature strength capable to destroy those SPSs we use the largest Lyapunov exponent to obtain the critical temperature ($T_C$) diagrams. For critical temperatures the chaotic behavior takes place with the suppression of periodic motion, although, the temperature strengths considered in this work are not so large to convert the deterministic features of the underlying system into a stochastic ones. 8 pages and 7 figures, accepted to publication in EPJB |
| Databáze: | OpenAIRE |
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