### Abstract

We study the exact solution for the irreversible addition of nearest-neighbor hard-core particles to a lattice structure occupied at an initial time by particles of the same kind that are in a thermal equilibrium state. The adsorption probabilities are inhomogeneous in both time and space. This problem is attacked via the Bethe lattice, whose topology provides local forms of inverse relations with site coverages as controlling variables, separately for equilibrium as well as for nonequilibrium regimes. It is shown that the interference of the two inverse formats does not break their locality, due to a factorization property of equilibrium multisite correlations. The complete inverse solution is used to point out the absence of nonequilibrium phase transitions within irreversible stochastic dynamics.

Original language | English (US) |
---|---|

Pages (from-to) | 5149-5157 |

Number of pages | 9 |

Journal | Physical Review E |

Volume | 49 |

Issue number | 6 |

DOIs | |

State | Published - 1994 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

*Physical Review E*,

*49*(6), 5149-5157. https://doi.org/10.1103/PhysRevE.49.5149

**Inhomogeneous random sequential adsorption with equilibrium initial conditions.** / Aamaj, L.; Percus, Jerome.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 49, no. 6, pp. 5149-5157. https://doi.org/10.1103/PhysRevE.49.5149

}

TY - JOUR

T1 - Inhomogeneous random sequential adsorption with equilibrium initial conditions

AU - Aamaj, L.

AU - Percus, Jerome

PY - 1994

Y1 - 1994

N2 - We study the exact solution for the irreversible addition of nearest-neighbor hard-core particles to a lattice structure occupied at an initial time by particles of the same kind that are in a thermal equilibrium state. The adsorption probabilities are inhomogeneous in both time and space. This problem is attacked via the Bethe lattice, whose topology provides local forms of inverse relations with site coverages as controlling variables, separately for equilibrium as well as for nonequilibrium regimes. It is shown that the interference of the two inverse formats does not break their locality, due to a factorization property of equilibrium multisite correlations. The complete inverse solution is used to point out the absence of nonequilibrium phase transitions within irreversible stochastic dynamics.

AB - We study the exact solution for the irreversible addition of nearest-neighbor hard-core particles to a lattice structure occupied at an initial time by particles of the same kind that are in a thermal equilibrium state. The adsorption probabilities are inhomogeneous in both time and space. This problem is attacked via the Bethe lattice, whose topology provides local forms of inverse relations with site coverages as controlling variables, separately for equilibrium as well as for nonequilibrium regimes. It is shown that the interference of the two inverse formats does not break their locality, due to a factorization property of equilibrium multisite correlations. The complete inverse solution is used to point out the absence of nonequilibrium phase transitions within irreversible stochastic dynamics.

UR - http://www.scopus.com/inward/record.url?scp=4243585127&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243585127&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.49.5149

DO - 10.1103/PhysRevE.49.5149

M3 - Article

AN - SCOPUS:4243585127

VL - 49

SP - 5149

EP - 5157

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 6

ER -