Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2410.19249 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929558052143104 |
|---|---|
| author | Jia, Hu-Wei Tong, Ning-Hua |
| author_facet | Jia, Hu-Wei Tong, Ning-Hua |
| contents | In this paper, we study the thermodynamical properties of the classical one-dimensional Klein-Gordan lattice model ($n \ge 2$) by using the cluster variation method with linear response theory. The results of this method are exact in the thermodynamical limit. We present the single site reduced density matrix $ρ^{(1)}(z)$, averages such as $\langle z^2 \rangle$, $\langle |z^n|\rangle$, and $\langle (z_1-z_2)^2\rangle$, the specific heat $C_v$, and the static correlation functions. We analyzed the scaling behavior and obtained the exact scaling powers of these quantities in the low and high temperaures. Using these results, we gauge the accuracy of the projective truncation approximation for $ϕ^{4}$ lattice model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19249 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of Classical One-dimensional Klein-Gordon Lattice Model Jia, Hu-Wei Tong, Ning-Hua Statistical Mechanics In this paper, we study the thermodynamical properties of the classical one-dimensional Klein-Gordan lattice model ($n \ge 2$) by using the cluster variation method with linear response theory. The results of this method are exact in the thermodynamical limit. We present the single site reduced density matrix $ρ^{(1)}(z)$, averages such as $\langle z^2 \rangle$, $\langle |z^n|\rangle$, and $\langle (z_1-z_2)^2\rangle$, the specific heat $C_v$, and the static correlation functions. We analyzed the scaling behavior and obtained the exact scaling powers of these quantities in the low and high temperaures. Using these results, we gauge the accuracy of the projective truncation approximation for $ϕ^{4}$ lattice model. |
| title | Thermodynamics of Classical One-dimensional Klein-Gordon Lattice Model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2410.19249 |