Datta, Sandip ; Sharma, Ashutosh ; Ramaswamy, Ramakrishna (2003) Thermodynamics of critical strange nonchaotic attractors Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 68 (3). 036104_1-036104_6. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v68/i3/e036104
Related URL: http://dx.doi.org/10.1103/PhysRevE.68.036104
Abstract
The thermodynamic formalism is applied to dynamical attractors which have fractal geometry and on which all Lyapunov exponents are exactly zero. Such critical strange nonchaotic attractors (SNAs) which arise, for example, in the Harper system exhibit a static phase transition in the free energy. The Tsallis nonextensive entropy which is known to characterize the thermodynamics of systems with leading Lyapunov exponent zero is found to be subadditive for the critical states. These properties are shared by other quasiperiodic systems with critical SNAs.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 45333 |
| Deposited On: | 28 Jun 2011 04:51 |
| Last Modified: | 28 Jun 2011 04:51 |
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