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Theory of the Rotational Brownian Motion of a Free Rigid Body
Abstract
The orientation of a rigid body is specified by the Cayley-Klein parameters. A system of such bodies subject to small random changes in orientation but not subject to any externally applied torque is then considered in some detail. A diffusion equation is derived with certain linear combinations of the Cayley-Klein parameters as independent variables. This equation is expressed in terms of quantum-mechanical angular momentum operators and a Green's function for the equation is obtained as an expansion in angular momentum eigenfunctions. This expansion can be used to calculate averages of various physical quantities in a nonequilibrium distribution of orientations. It may also be used to calculate the spectral density of fluctuating quantities in an equilibrium distribution. Illustrative examples of both of these applications are given.
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Cited by
Garcı́a de la Torre, J., Huertas, M. L., & Carrasco, B. (2000) · Journal of Magnetic Resonance · doi:10.1006/jmre.2000.2170 · Cited by 551
Structure and Dynamics of Ribosomal Protein L12: An Ensemble Model Based on SAXS and NMR Relaxation
Bernadó, P., Modig, K., Grela, P., Svergun, D. I., Tchorzewski, M., Pons, M., & Akke, M. (2010) · Biophysical Journal · doi:10.1016/j.bpj.2010.02.012 · Cited by 77
Xia, J., Deng, N.-J., & Levy, R. M. (2013) · The Journal of Physical Chemistry B · doi:10.1021/jp400797y · Cited by 29
Metadata
- Authors
- Favro, L. D.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1960-07-01
- Volume
- 119
- Issue
- 1
- Pages
- 53-62
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W1971427312
- Cited by
- 476
- References
- 0
- FWCI
- 6.61
- Type
- journal article
- Language
- en
- Open access
- closed
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- Favro, L. D. (1960). Theory of the Rotational Brownian Motion of a Free Rigid Body. Physical Review. https://doi.org/10.1103/physrev.119.53
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
