Zwanzig's Trajectories Used in Relation to Thermodynamical Chaos for Spin Wave Description-Reference-Cited by-同舟云学术

Zwanzig's Trajectories Used in Relation to Thermodynamical Chaos for Spin Wave Description

Published:2014-05 Issue:05 Volume:24 Page:1450058
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Ławrynowicz Julian¹²,Wojtczak Leszek¹,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 paper shows the use of Zwanzig's trajectories for spin wave description. The main idea consists in the application of Zwanzig's method to the description of the temporal derivative of magnetization in the direction of rf field in terms of Zwanzig's resolvents found for the magnetization components considered in the harmonic approximation. In particular, the spin waves resonance description can be tested. It reflects well the thermodynamical chaos as described in a fractal approach of the first author (2012, paper joint with Nowak-Kȩpczyk and 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/S0218127414500588

Reference15 articles.

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

2. Spin-Wave Theory of Ferromagnetic Thin Films

3. Magnons in Co dot