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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Relaxation Processes in Many Particle Systems — Recurrence Relations Approach

Discontinuity, Nonlinearity, and Complexity 2(1) (2012) 43--56 | DOI:10.5890/DNC.2012.11.002

Anatolii V. Mokshin

Department of Computational Physics, Kazan Federal University, Kazan, 420008, Russia

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Abstract

The general scheme for the treatment of relaxation processes and temporal autocorrelations of dynamical variables for many particle systems is presented in framework of the recurrence relations approach. The time autocorrelation functions and/or their spectral characteristics, which are measurable experimentally (for example, due to spectroscopy techniques) and accessible from particle dynamics simulations, can be found by means of this approach, the main idea of which is the estimation of the so-called frequency parameters. Model cases with the exact and approximative solutions are given and discussed.

Acknowledgments

We would like to thank M. Howard Lee (University of Georgia, USA) for very useful discussions.

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