Distribution laws for microplastic deformations

Ostashev, V. V.; Shevchenko, O. D.

doi:10.1134/1.1262191

Tech. Phys. Lett.

1998

DOI: 10.1134/1.1262191

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Distribution laws for microplastic deformations

V. V. Ostashev¹,

O. D. Shevchenko²

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2006

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Monte Carlo Modeling of Compton-Scattering Angles in a Mildly Relativistic Plasma

Seon

2006

Publications of the Astronomical Society of Japan

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If the inversion method is applied to random-number generation in a Monte Carlo simulation of Compton-scattering, we often encounter cubic equations. These may be solved using well-known numerical iterative methods, such as the Newton–Raphson, or bisection methods. These numerical methods, however, may lead to many iterations, which should be avoided for modeling efficiency. We present explicit inversion formulae of two cubic equations arising from the modeling of Compton-scattering angles in a mildly or weakly relativistic plasma. Explicit analytical methods are superior to any other rejection or numerical inversion methods in terms of the modeling efficiency, and will be useful for Monte Carlo simulations of X-ray reflection from cold material and the Sunyaev–Zel’dovich effect.

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Monte Carlo Modeling of Compton-Scattering Angles in a Mildly Relativistic Plasma

Seon

2006

Publications of the Astronomical Society of Japan

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Distribution laws for microplastic deformations

Cited by 1 publication

References 1 publication

Monte Carlo Modeling of Compton-Scattering Angles in a Mildly Relativistic Plasma

Monte Carlo Modeling of Compton-Scattering Angles in a Mildly Relativistic Plasma

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