Combinatorial structures in spin models : algorithms for generation of operator matrices

• Autorzy: Florek W.
• Języki publikacji: EN

Abstrakty

EN

Two combinatorial algorithms, generation of ordered partitions of N with no more than m parts and decompositions of N-element set into subsets with cardinalities given by a partition [k] = [k0 k1 ... km bullet bullet1] are presented and their possible applications to finite (mesoscopic) spin systems are indicated. The flow charts, listings, and results of test runs are provided.

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2001
• Tom: Vol. 7, nr 1
• Strony: 41--54
• Opis fizyczny: Bibliogr. 6 poz., tab.

Twórcy

autor

Florek W.

• Adam Mickiewicz University, Institute of Physics Umultowska 85, 61-614 Poznań, Poland,

Bibliografia

• 1] S. Bucikiewicz, W. Florek, CMST, this volume.
• [2] G. Kamieniarz, R. Matysiak, W. Florek, S. Walcerz, J. Magn. Magn. Mater., 203, 271 (1999).
• [3] E. N. Reingold, J. Nivergelt, N. Deo, Combinatorial Algorithms. Theory and Practice, Prentice Hall, Engelwood Cliffs NJ, 1977.
• [4] W. Lipski, Combinatorics for Programmers. Polish Sci. Publ. (PWN), Warsaw, 1982 [in Polish].
• [5] A. Kerber, Algebraic Combinatorics via Finite Group Actions. B I Wissenshaftsverlag, Mannheim-Wien-Zürich, 1991.
• [6] D. Gatteschi, A. Caneschi, L. Pardi, R. Sessoli, Science, 265, 1054 (1994); A. Lascialfari, D. Gatteschi, A. Cornia, U. Balucani, M. G. Pini, A. Rettori, Phys. Rev. B, 57, 1115 (1998); A. Caneschi, D. Gatteschi, C. Sangregorio, R. Sessoli, L. Sorace, A. Cornia, M. A. Novak, C. Paulsen, W. Wernsdorfer, J. Magn. Magn. Mater., 200, 182 (1999).