Solvable kinetic gaussian model in an external field
In this paper, the single-spin transition dynamics is used to investigate the kinetic Gaussian model in a periodic external field. We first derive the fundamental dynamic equations, and then treat an isotropic d-dimensional hypercubic lattice Gaussian spin system with Fourier's transformation method. We obtain exactly the local magnetization and the equal-time pair-correlation function. The critical characteristics of the dynamical relaxation tau(q), the complex susceptibility chi(omega,q), and the dynamical response are discussed. The results show that the time evolution of the dynamical quantities and the dynamical responses of the system strongly depend on the frequency and the wave vector of the external field.
Zhu
JY
CCAST (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.
Yang
ZR