%0 Book Section %1 statphys23_0739 %A Huang, M.C. %A Liaw, T.M. %A Luo, Y.P. %A Lin, S.C. %A Chou, Y.L. %A Deng, Y. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K boundary conditions finite-size functions scaling self-similarity statphys23 topic-2 toroidal %T Self-Similarity in the Classification of Finite-Size Scaling Functions for Toroidal Boundary Conditions %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=739 %X The conventional periodic boundary conditions in two dimensions permit generalizations upon the prescriptions by primitive vector-pairs not coinciding with the coordinate axes. Such extension furnishes the so-called toroidal boundary conditions which endow systems with more fruitful geometric structures. Equivalence relations can render the prescriptions geometrically more distinct, e.g., the full toroidal boundary conditions can be unambiguously specified simply by the twisting scheme. Moreover, physical significances can be collated based on more equivalent relations. Here, the general classification of finite-size scaling functions for the two-dimensional systems is in question. It is shown that a pattern of self-similarity emerges in the contours denoting distinctive finite-size scaling functions when depicted on the plane which parameterizes the toroidal geometry.

@incollection{statphys23_0739, abstract = {The conventional periodic boundary conditions in two dimensions permit generalizations upon the prescriptions by primitive vector-pairs not coinciding with the coordinate axes. Such extension furnishes the so-called toroidal boundary conditions which endow systems with more fruitful geometric structures. Equivalence relations can render the prescriptions geometrically more distinct, e.g., the full toroidal boundary conditions can be unambiguously specified simply by the twisting scheme. Moreover, physical significances can be collated based on more equivalent relations. Here, the general classification of finite-size scaling functions for the two-dimensional systems is in question. It is shown that a pattern of self-similarity emerges in the contours denoting distinctive finite-size scaling functions when depicted on the plane which parameterizes the toroidal geometry.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Huang, M.C. and Liaw, T.M. and Luo, Y.P. and Lin, S.C. and Chou, Y.L. and Deng, Y.}, biburl = {https://www.bibsonomy.org/bibtex/2b5e0a870da2abe115cf4f1b1c1684d1a/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {777f18d2cd95335f09ae4394da14484d}, intrahash = {b5e0a870da2abe115cf4f1b1c1684d1a}, keywords = {boundary conditions finite-size functions scaling self-similarity statphys23 topic-2 toroidal}, month = {9-13 July}, timestamp = {2007-06-20T10:16:28.000+0200}, title = {Self-Similarity in the Classification of Finite-Size Scaling Functions for Toroidal Boundary Conditions}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=739}, year = 2007 }