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Nonasymptotic Effects in Critical Sound Propagation Associated with Spin-Lattice Relaxation | | Andrzej Pawlak
; | | Date: |
15 Mar 1999 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | The nonasymptotic critical behavior of sound attenuation coefficient has been studied in an elastically isotropic Ising system above the critical point on the basis of a complete stochastic model including both spin-energy and lattice-energy modes linearly coupled to the longitudinal sound mode. The effect of spin-lattice relaxation on the ultrasonic attenuation is investigated. The crossover between weak-singularity behavior $t^{-2 alpha}$ and strong singularity behavior $t^{-(z
u +alpha)}$ is studied. A new high-frequency regime with singularity of the type $t^{-z
u +alpha}$ is discovered in the magnetic systems. This new regime corresponds to an adiabatic sound propagation and is very similar to the ones in binary mixture and liquid helium. A new frequency-dependent specific-heat being the harmonic average of the bare lattice and critical spin specific-heats is introduced. It was shown that such specific-heat descibes the process of equilibrization between spin and lattice subsystems and includes the most important features of critical sound attenuation. In some regions of coupling constants the acoustic self-energy can be very well approximated solely by this quantity. | | Source: | arXiv, cond-mat/9903229 | | Services: | Forum | Review | PDF | Favorites | |
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