Title of program: Tensor
Catalog identifier: ADYT_v1_0
Program summary URL: http://cpc.cs.qub.ac.uk/summaries/ADYT_v1_0
Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland
Computer for which the program is designed and others on which it has been tested: Computers: Any computer running Mathematica 4.1. Tested on DELL Dimension 5100 and IBM ThinkPad T42. Installations: ETSI Industriales, Universidad Castilla la Mancha, Ciudad Real, Spain
Operating system under which the program has been tested: Windows XP Pro
Programming language used: Mathematica 4.1
Memory required to execute with typical data: 7.17 Mbytes
No. of bytes in distributed program, including test data, etc.: 33 439
No. of lines in distributed program, including test data, etc.: 3169
Distribution format: tar.gz
Nature of the physical problem: The dielectric tensor of a relativistic beam plasma system may be quite involved to calculate symbolically when considering a magnetized plasma, kinetic pressure, collisions between species, and so on. The present Mathematica notebook performs the symbolic computation in terms of some usual dimensionless variables.
Method of solution: The linearized relativistic fluid equations are directly entered and solved by Mathematica to express the first-order expression of the current. This expression is then introduced into a combination of Faraday and Ampère–Maxwell's equations to give the dielectric tensor. Some additional manipulations are needed to express the result in terms of the dimensionless variables.
Restrictions on the complexity of the problem: Temperature effects are limited to small, i.e. non-relativistic, temperatures. The kinetic counterpart of the present Mathematica will usually not compute the required integrals.
Typical running time: About 1 minute on a Intel Centrino 1.5 GHz Laptop with 512 MB of RAM.
Unusual features of the program: None.