Numerical solution of the transport equation for sound propagation in He II
Journal Article
·
· Phys. Rev., A, v. 8, no. 1, pp. 569-572
Assuming an anomalous phonon dispersion, the velocity shift and the attenuation of ultrasound in liquid /sup 4/He below 0.5 deg K are calculated by a direct numerical solution of the Boltzmann equation for the phonon distribution function. In order to account for the hydrodynamic regime the collision invariants are treated separately. The results are in qualitative agreement with the experiments and show a nonmonotonic increase of the velocity shift as a function of the applied frequency, but they are different from an approximate solution using relaxation times. The method developed to solve the Boltzmann equation can also be applied directly to calculate transport properties of phonons in solids. (auth)
- Research Organization:
- IBM Research Lab., Zurich
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-001508
- OSTI ID:
- 4431377
- Journal Information:
- Phys. Rev., A, v. 8, no. 1, pp. 569-572, Journal Name: Phys. Rev., A, v. 8, no. 1, pp. 569-572; ISSN PLRAA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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