Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system |
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| Authors: | P. L. Dammig Quiña V. E. Pastor I. M. Irurzun E. E. Mola |
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| Affiliation: | 1.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, INIFTA. Consejo Nacional de Investigaciones Científicas y Técnicas, CONICET. Facultad de Ciencias Exactas,Universidad Nacional de La Plata,La Plata,República Argentina;2.Facultad de Química e Ingeniería, Fray Roger Bacon,Rosario Pontificia Universidad Católica Argentina,Buenos Aires,Argentina |
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| Abstract: | The purpose of this paper is to provide an exact evaluation of the configurational degeneracy when an arbitrary number (k) of dipoles are placed in a quasi-two-dimensional space (Q2D). This Q2D is made up of three contiguous diagonals 3 × N. Our Q2D space gives to the central sites of the lattice their full coordination number of nearest neighboring compartments. We are going to determine the exact configurational degeneracy W(k, N) when an arbitrary number k of the above mentioned particles are placed in this 3 × NQ2D space. We found that W(k, N) is exactly described by | W(k,N) = 8W(k-1,N-1)-8W(k-2,N-2)+W(k,N-1){W(k,N) = 8W(k-1,N-1)-8W(k-2,N-2)+W(k,N-1)} |
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