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A dynamic and thermodynamic approach...

Yang, Jin.

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A dynamic and thermodynamic approach to complexity.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A dynamic and thermodynamic approach to complexity./
作者:	Yang, Jin.
面頁冊數:	57 p.
附註:	Source: Dissertation Abstracts International, Volume: 64-09, Section: B, page: 4408.
Contained By:	Dissertation Abstracts International64-09B.
標題:	Physics, General. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3106924
ISBN:	0496544889

A dynamic and thermodynamic approach to complexity.
Yang, Jin.

A dynamic and thermodynamic approach to complexity. - 57 p.

Source: Dissertation Abstracts International, Volume: 64-09, Section: B, page: 4408.

Thesis (Ph.D.)--University of North Texas, 2003.

The problem of establishing the correct approach to complexity is a very hot and crucial issue to which this dissertation gives some contributions. This dissertation considers two main possibilities, one, advocated by Tsallis and co-workers, setting the foundation of complexity on a generalized, non extensive, form of thermodynamics, and another, proposed by the UNT Center for Nonlinear Science, on complexity as a new condition that, for physical systems, would be equivalent to a state of matter intermediate between dynamics and thermodynamics.

ISBN: 0496544889Subjects--Topical Terms:

1018488
Physics, General.

A dynamic and thermodynamic approach to complexity.
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245 1 2 $a A dynamic and thermodynamic approach to complexity.
300 $a 57 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-09, Section: B, page: 4408.
500 $a Major Professor: Paolo Grigolini.
502 $a Thesis (Ph.D.)--University of North Texas, 2003.
520 $a The problem of establishing the correct approach to complexity is a very hot and crucial issue to which this dissertation gives some contributions. This dissertation considers two main possibilities, one, advocated by Tsallis and co-workers, setting the foundation of complexity on a generalized, non extensive, form of thermodynamics, and another, proposed by the UNT Center for Nonlinear Science, on complexity as a new condition that, for physical systems, would be equivalent to a state of matter intermediate between dynamics and thermodynamics.
520 $a In the first part of this dissertation, the concept of Kolmogorov-Sinai entropy is introduced. The Pesin theorem is generalized in the formalism of Tsallis non-extensive thermodynamics. This generalized form of Pesin theorem is used in the study of two major classes of problems, whose prototypes are given by the Manneville and the logistic map respectively. The results of these studies convince us that the approach to complexity must be made along lines different from those of the non-extensive thermodynamics. We have been convinced that the Levy walk can be used as a prototype model of complexity, as a condition of balance between order and randomness that yields new phenomena such as aging, and multifractality. We reach the conclusions that these properties must be studied within a dynamic rather than thermodynamic perspective.
520 $a The second part focuses on the study of the heart beating problem using a dynamic model, the so-called memory beyond memory, based on the Levy walker model. It is proved that the memory beyond memory effect is more obvious in the healthy heart beating sequence. The concepts of fractal, multifractal, wavelet transformation and wavelet transform maximum modulus (WTMM) method are introduced. Artificial time sequences are generated by the memory beyond memory model to mimic the heart beating sequence. Using WTMM method, the multifractal singular spectrums of the sequences are calculated. It is clear that the sequence with strong memory beyond memory effect has broader singular spectrum.
590 $a School code: 0158.
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790 1 0 $a Grigolini, Paolo, $e advisor
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