## Abstract

The macroscopic properties of two-phase random heterogeneous media depend upon the infinite set of n-point probability functions S1,...,Sn. The quantity Sn(x1,...,xn) gives the probability of finding n points with positions x1,...,xn all in one of the phases. We derive a series representation of Sn for a finite-sized D-dimensional lattice model of heterogeneous media. By performing certain averages over the Sn, we then obtain explicit expressions for translationally invariant and rotationally invariant n-point probabilities. Computer simulations are carried out for low-order n-point probability functions. The theoretical and simulation results are found to be in excellent agreement.

Original language | English (US) |
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Pages (from-to) | 4453-4459 |

Number of pages | 7 |

Journal | Physical Review B |

Volume | 42 |

Issue number | 7 |

DOIs | |

State | Published - 1990 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Condensed Matter Physics