## Abstract

A volume averaged chord length < R >, is suggested and some results concerning < R > and < R^{3} > are demonstrated. Usually when reference is made to the average chord length < t > we mean < l > = J J l(x_{g}, Ω)(n. Ω) ds dΩ / tts (1) S a-n>0 where (x. Ω) is the distance from ds on the surface to the surface S in the direction of Ω. This average chord length corresponds physically to the average path length traversed by particles current impinging homogeneously and isotropically on the surface of a vacuum volume. It is a well known^{(1)} result that < l > = 4v/S, V being the volume and S the surface. Recently it has been shown that the same result holds if the vacuum is replaced by a pure scatterer. Another type of average chord length is also of interest in many cases in radiation physics. This is the average path length traversed by particles emitted from a homogeneous isotropic source in the volume. Such averages are considered in self absorption of nuclear sources. Let x be a point in the connected volume V and let R(x, Ω) be the distance from that point to the surface S in the direction Ω then < B > = f f R(x, dO n) g (2) kit V ^{4lrV}.

Original language | English |
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Pages (from-to) | 113-114 |

Number of pages | 2 |

Journal | Transport Theory and Statistical Physics |

Volume | 10 |

Issue number | 3 |

DOIs | |

State | Published - 1 Jan 1981 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Transportation
- General Physics and Astronomy
- Applied Mathematics