Inhomogeneous random sequential adsorption with equilibrium initial conditions

L. Aamaj, Jerome Percus

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)5149-5157
Number of pages9
JournalPhysical Review E
Volume49
Issue number6
DOIs
StatePublished - 1994

Fingerprint

Random Sequential Adsorption
Initial conditions
adsorption
Nonequilibrium Phase Transitions
Bethe Lattice
Lattice Structure
Thermal Equilibrium
Stochastic Dynamics
Equilibrium State
Locality
factorization
Adsorption
Non-equilibrium
format
Nearest Neighbor
Factorization
Coverage
topology
Exact Solution
Interference

ASJC Scopus subject areas

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

Cite this

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

In: Physical Review E, Vol. 49, No. 6, 1994, p. 5149-5157.

Research output: Contribution to journalArticle

Aamaj, L. ; Percus, Jerome. / Inhomogeneous random sequential adsorption with equilibrium initial conditions. In: Physical Review E. 1994 ; Vol. 49, No. 6. pp. 5149-5157.
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