Numerical experiments on the statistics of distant perturbations in the fields of fixed material points

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Equations Of Motion, Experiment Design, Field Theory (Physics), Many Body Problem, Perturbation Theory, Statistical Mechanics, Computer Techniques, Computerized Simulation, Error Analysis, Mathematical Models, Numerical Integration, Statistical Distributions

Scientific paper

A series of numerical experiments is described in which a charged material test point moved among 2000 charged fixed material field points distributed along several segments parallel to the initial motion of the test point. A system of differential equations of motion is solved numerically for each of four models for the fixed-point ensemble. Results obtained with three different values for the action constant are presented which indicate that the additivity law of deflection angles is valid in the case where the motion of the test point is characterized by small deflection angles. The accuracy of these results is evaluated, and expressions for the mean velocity parameters of the test point are obtained on the basis of the cited additivity law

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