Abstract
A generalization of a simple-majority rule model is presented. The system, say a d-dimensional hypercubic checkerboard, whose elements are coloured with one out of q colour with probabilities p{sub 1}, p{sub 2}, ---, p{sub q}, presents a continuous phase transition. Using a real space renormalization group (RG) approach, we establish the phase diagram as well as the correlation length critical exponent {nu}. The various types of convergence of the RG numerical values for {nu} towards the (presumably) exact answer are analysed in connection with finite size scalings. (author).
Citation Formats
Prato, D, Tsallis, C, and Stanley, H E.
Polychromatic majority model: criticality and real space renormalization group.
Brazil: N. p.,
1989.
Web.
Prato, D, Tsallis, C, & Stanley, H E.
Polychromatic majority model: criticality and real space renormalization group.
Brazil.
Prato, D, Tsallis, C, and Stanley, H E.
1989.
"Polychromatic majority model: criticality and real space renormalization group."
Brazil.
@misc{etde_10128877,
title = {Polychromatic majority model: criticality and real space renormalization group}
author = {Prato, D, Tsallis, C, and Stanley, H E}
abstractNote = {A generalization of a simple-majority rule model is presented. The system, say a d-dimensional hypercubic checkerboard, whose elements are coloured with one out of q colour with probabilities p{sub 1}, p{sub 2}, ---, p{sub q}, presents a continuous phase transition. Using a real space renormalization group (RG) approach, we establish the phase diagram as well as the correlation length critical exponent {nu}. The various types of convergence of the RG numerical values for {nu} towards the (presumably) exact answer are analysed in connection with finite size scalings. (author).}
place = {Brazil}
year = {1989}
month = {Dec}
}
title = {Polychromatic majority model: criticality and real space renormalization group}
author = {Prato, D, Tsallis, C, and Stanley, H E}
abstractNote = {A generalization of a simple-majority rule model is presented. The system, say a d-dimensional hypercubic checkerboard, whose elements are coloured with one out of q colour with probabilities p{sub 1}, p{sub 2}, ---, p{sub q}, presents a continuous phase transition. Using a real space renormalization group (RG) approach, we establish the phase diagram as well as the correlation length critical exponent {nu}. The various types of convergence of the RG numerical values for {nu} towards the (presumably) exact answer are analysed in connection with finite size scalings. (author).}
place = {Brazil}
year = {1989}
month = {Dec}
}