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Stochastic processes in particle-number fluctuations in an electron-photon shower (1975)

Hinkley, S. W. ; Tsokos, Chris P.

Springer

Acta biotheoretica 24 (1975), S. 58-74

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ISSN: 1572-8358

Source: Springer Online Journal Archives 1860-2000

Topics: Biology

Notes: Abstract The paper is concerned with the existence and asymptotic character of the nonlinear boundary value problemdG/dt=F(t,G,F, ¦α−β¦) (1) ¦α−β¦dF/dt=g(t,G,F, ¦α−β¦)G(o,¦α−β¦)=k 1,G(∞,¦α−β¦)=k 2 (2) as ¦α−β¦→ o+ The discussion is related to the problem of particle-number fluctuations in the theory of cosmic radiation andG andF denote respectively the probability generating functions for the electron distribution in an electron-initiated and a photon-initiated shower. A solution of the system (1) satisfying the boundary conditions (2) is constructed so that specified limiting conditions are fulfilled.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01556740

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