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Solvable kinetic gaussian model in an external field

Zhu1, Yang

  • 1CCAST (World Laboratory), Box 8730, Beijing 100080, China and Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, Chinadagger and Department of Physics, Jiangxi Normal University, Nanchang 3.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
Summary

This study explores kinetic Gaussian model dynamics under periodic fields. Results show that external field frequency and wave vector significantly influence system behavior and relaxation.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics

Background:

  • The kinetic Gaussian model describes interacting spins.
  • Understanding spin dynamics in periodic external fields is crucial for materials science.

Purpose of the Study:

  • To investigate the single-spin transition dynamics of the kinetic Gaussian model.
  • To analyze the influence of periodic external fields on spin systems.

Main Methods:

  • Derivation of fundamental dynamic equations.
  • Application of Fourier's transformation method to an isotropic d-dimensional hypercubic lattice.
  • Exact calculation of local magnetization and equal-time pair-correlation function.

Main Results:

  • Exact expressions for local magnetization and pair-correlation function were obtained.

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  • Critical characteristics of dynamical relaxation time, complex susceptibility, and dynamical response were analyzed.
  • Demonstrated strong dependence of time evolution and dynamical responses on external field frequency and wave vector.

    • Conclusions:

    • The kinetic Gaussian model exhibits complex dynamics influenced by external fields.
    • External field parameters critically determine the system's relaxation and response characteristics.