LATTICE DYNAMICS IN RELATION TO CHAOS IN ZWANZIG-TYPE CHAINS-Reference-Cited by-同舟云学术

LATTICE DYNAMICS IN RELATION TO CHAOS IN ZWANZIG-TYPE CHAINS

Published:2013-11 Issue:11 Volume:23 Page:1350183
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ŁAWRYNOWICZ JULIAN¹²,NIEMCZYNOWICZ AGNIESZKA³

Affiliation:

1. Solid State Physics Department, University of Łódź, Pomorska 149/153, PL-90-236 Łódź, Poland

2. Institute of Mathematics, Polish Academy of Sciences, Łódź Branch, Banacha 22, PL-90-238 Łódź, Poland

3. Department of Relativity Physics, University of Warmia and Mazury, Słoneczna 54, PL-10-710 Olsztyn, Poland

Abstract

The Zwanzig's procedure (1960) for the description of the system of coupled harmonic oscillators is applied to the chain of interacting oscillations in order to find the adsorption power function, which is then determined by two terms: (i) the classical term proportional to the radio-frequency function squared and (ii) the additional term linear with respect to the radio-frequency magnetic field amplitude. From the physical point of view the first term is usually considered in oscillator effect. The second term found in the present paper via Zwanzig's procedure seems to be induced by fluctuations due to stochastic distributions of the oscillatory precession phases. It reflects well the chaos as described in a fractal approach of the first author (2012, paper joint with M. Nowak-Kȩpczyk and O. Suzuki).

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413501836

Reference26 articles.

1. F. L. Alvarado, J. Ławrynowicz and M. Nowak-Kepczyk, Applied Complex and Quaternionic Approximation, eds. R. K. Kovacheva, J. Ławrynowicz and S. Marchiafava (Ediz. Nuova Cultura, Roma, 2009) pp. 207–234.

2. Spin-Wave Theory of Ferromagnetic Thin Films

3. B. Gaveau, J. Ławrynowicz and L. Wojtczak, Applied Complex and Quaternionic Approximation, eds. R. K. Kovacheva, J. Ławrynowicz and S. Marchiafava (Ediz. Nuova Cultura, Roma, 2009) pp. 13–39.

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