Barnett Relaxation in Thermally Rotating Grains
Author(s) -
A. Lazarian,
W. G. Roberge
Publication year - 1997
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/304309
Subject(s) - angular momentum , brownian motion , physics , measure (data warehouse) , relaxation (psychology) , rotation (mathematics) , dissipation , momentum (technical analysis) , classical mechanics , coupling (piping) , statistical physics , langevin equation , mathematics , quantum mechanics , geometry , mechanical engineering , psychology , social psychology , finance , database , computer science , engineering , economics
We present an exact formulation of the physics of Barnett relaxation. Ourformulation is based on a realistic kinetic model of the relaxation mechanismwhich includes the alignment of the grain angular momentum in body coordinatesby Barnett dissipation, disalignment by thermal fluctuations, and coupling ofthe angular momentum to the gas via gas damping. We solve the Fokker-Planckequation for the measure of internal alignment using numerical integration ofthe equivalent Langevin equation for Brownian rotation. The accuracy of ourresults is calibrated by comparing our numerical solutions with exact analyticresults obtained for special cases.We describe an analytic approximation forthe measure of alignment which fits our numerical results for cases ofpractical interest.Comment: 17 pages, 5 figures. Accepted to ApJ
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom