Physics – Condensed Matter – Materials Science
Scientific paper
2002-10-25
Physics
Condensed Matter
Materials Science
12 pages, 3 figures
Scientific paper
10.1103/PhysRevE.68.011601
We consider a 1D lattice gas model in which the atoms interact via an infinite number of cluster interactions within contiguous atomic chains plus the next nearest neighbor pairwise interaction. All interactions are of arbitrary strength. An analytical expression for the size distribution of atomic chain lengths is obtained in the framework of the canonical ensemble formalism. Application of the exact solution to the problems of self-assembly and self-organization is briefly discussed.
Dreysse H.
Tokar V. I.
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