| Title: |
Exact solution of the three-state generalized double-chain Potts model |
| Authors: |
Khrapov, Pavel; Skvortsov, Grigory |
| Source: |
International Journal of Open Information Technologies; Vol 13, No 3 (2025); 34-43 ; 2307-8162 |
| Publisher Information: |
International Journal of Open Information Technologies |
| Publication Year: |
2025 |
| Collection: |
International Journal of Open Information Technologies (INJOIT) |
| Description: |
An exact analytical solution of generalized three-state double-chain Potts model with multi-spin interactions which are invariant under cyclic shift of all spin values is obtained. The partition function in a finite cyclically closed strip of length L, as well as the free energy, internal energy, entropy and heat capacity in thermodynamic limit are calculated using transfer-matrix method. Partial magnetization and susceptibility are suggested as the generalization of usual physical characteristics of a system. Proposed model can be interpreted as a generalized version of standard Potts model (which has Hamiltonian expressed through Kronecker symbols) and clock model (with Hamiltonian expressed through cosines). Considering a particular example of the model with plenty of forces, model's ground states are found, figures of its thermodynamic characteristics and discussed their behaviour at low temperature are shown. |
| Document Type: |
article in journal/newspaper |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://injoit.org/index.php/j1/article/view/2087/1858; http://injoit.org/index.php/j1/article/downloadSuppFile/2087/914; http://injoit.org/index.php/j1/article/downloadSuppFile/2087/915; http://injoit.org/index.php/j1/article/view/2087 |
| Availability: |
http://injoit.org/index.php/j1/article/view/2087 |
| Rights: |
Copyright (c) 2025 International Journal of Open Information Technologies |
| Accession Number: |
edsbas.6ED9A87E |
| Database: |
BASE |