Exact solution of the three-state generalized double-chain Potts model
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909471984320512 |
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| author | Khrapov, Pavel Skvortsov, Grigory |
| author_facet | Khrapov, Pavel Skvortsov, Grigory |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_00444 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact solution of the three-state generalized double-chain Potts model Khrapov, Pavel Skvortsov, Grigory Statistical Mechanics 82B20, 82B23 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. |
| title | Exact solution of the three-state generalized double-chain Potts model |
| topic | Statistical Mechanics 82B20, 82B23 |
| url | https://arxiv.org/abs/2502.00444 |