On limits to convective heat transport at infinite Prandtl number with or without rotation
We prove rigorous upper bounds for the bulk heat transport in infinite Prandtl number Rayleigh–Bénard convection with or without rotation. For the rotation free case, our estimate shows th...
We prove rigorous upper bounds for the bulk heat transport in infinite Prandtl number Rayleigh–Bénard convection with or without rotation. For the rotation free case, our estimate shows th...
Spherical harmonics and basic coupling coefficients for the group SO(5) in an SO(3) basis
An easily programmable algorithm is given for the computation of SO(5) spherical harmonics needed to complement the radial (beta) wave functions to form an orthonormal basis of wave functions for the ...
An easily programmable algorithm is given for the computation of SO(5) spherical harmonics needed to complement the radial (beta) wave functions to form an orthonormal basis of wave functions for the ...
A diffusion process in curved space–time
J. Math. Phys. 45, 2744 (2004); doi:10.1063/1.1755860
Published 9 June 2004
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We construct a curved space–time generalization of the special relativistic Ornstein–Uhlenbeck Process. This is done by deriving a manifestly covariant Kolmogorov equation that describes diffusion in curved space–times. The simple case of diffusion in a spatially flat Friedmann–Robertson–Walker universe is then considered. It is proven that, at least in these space–times, Kolmogorov equation admits as possible solution a natural generalization of the flat space–time Jüttner equilibrium solution. The first correction to Jüttner's distribution in a slowly expanding universe is also obtained explicitly. ©2004 American Institute of Physics.
| History: | Received 21 September 2003; accepted 19 March 2004; published 9 June 2004 |
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http://link.aip.org/link/?JMAPAQ/45/2744/1 |
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