skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: MOBILITY OF ION IN A SYSTEM OF INTERACTING BOSE PARTICLES. Technical Report No. 5

Abstract

The transport property of an ion in a dilute Bose-Einstein gas subject to an external electric field is investigated through Boltzmann equation approach. By means of the Bogolyubov transformation, the interaction hamiltonian between ion and elementary excitation is obtained, and the cross section for the scattering of the ion from phonons or rotons is calculated. The solution to the Boltzmann equation is obtained by the use of a variation principle, and the temperature dependence of ion mobility is shown to be UPSILON /sup -4/ at very low temperature regions where phonon excitations are more important than rotons. At higher temperatures where roton excitations are important the temperature dependence is shown to be UPSILON /sup -1/ exp( DELTA /k UPSILON ), where DELTA is the excitation energy of roton. The agreement in absolute magnitude with the experimental data in liquid helium is obtained by choosing reasonable value of parameter both in higher and lower temperature regions. Comparison with the Khalatnikov and Zharkov theory is given, and also the ion mobility in Fermi system is briefly discussed. (auth)

Authors:
;
Publication Date:
Research Org.:
Northwestern Univ., Evanston, Ill.
OSTI Identifier:
4095705
Report Number(s):
NP-9796
NSA Number:
NSA-15-010345
DOE Contract Number:  
NONR 1288(13), NR-372-190
Resource Type:
Technical Report
Resource Relation:
Other Information: Orig. Receipt Date: 31-DEC-61
Country of Publication:
United States
Language:
English
Subject:
PHYSICS; BOLTZMANN EQUATION; BOSE-EINSTEIN GAS; CROSS SECTIONS; DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; ELECTRONS; ELEMENTARY PARTICLES; ENERGY; ERRORS; EXCITATION; FERMIONS; FIELD THEORY; GASES; HAMILTONIAN; HELIUM; INFRARED RADIATION; INTERACTIONS; IONS; LIQUIDS; PARTICLES; PHONONS; QUANTUM MECHANICS; RADIATIVE CORRECTIONS; RESOLUTION; SCATTERING; STATISTICS; TEMPERATURE

Citation Formats

Abe, R., and Aizu, K. MOBILITY OF ION IN A SYSTEM OF INTERACTING BOSE PARTICLES. Technical Report No. 5. United States: N. p., 1960. Web.
Abe, R., & Aizu, K. MOBILITY OF ION IN A SYSTEM OF INTERACTING BOSE PARTICLES. Technical Report No. 5. United States.
Abe, R., and Aizu, K. Fri . "MOBILITY OF ION IN A SYSTEM OF INTERACTING BOSE PARTICLES. Technical Report No. 5". United States.
@article{osti_4095705,
title = {MOBILITY OF ION IN A SYSTEM OF INTERACTING BOSE PARTICLES. Technical Report No. 5},
author = {Abe, R. and Aizu, K.},
abstractNote = {The transport property of an ion in a dilute Bose-Einstein gas subject to an external electric field is investigated through Boltzmann equation approach. By means of the Bogolyubov transformation, the interaction hamiltonian between ion and elementary excitation is obtained, and the cross section for the scattering of the ion from phonons or rotons is calculated. The solution to the Boltzmann equation is obtained by the use of a variation principle, and the temperature dependence of ion mobility is shown to be UPSILON /sup -4/ at very low temperature regions where phonon excitations are more important than rotons. At higher temperatures where roton excitations are important the temperature dependence is shown to be UPSILON /sup -1/ exp( DELTA /k UPSILON ), where DELTA is the excitation energy of roton. The agreement in absolute magnitude with the experimental data in liquid helium is obtained by choosing reasonable value of parameter both in higher and lower temperature regions. Comparison with the Khalatnikov and Zharkov theory is given, and also the ion mobility in Fermi system is briefly discussed. (auth)},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1960},
month = {1}
}

Technical Report:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that may hold this item. Keep in mind that many technical reports are not cataloged in WorldCat.

Save / Share: