On the classical critical behavior of the specific heat capacity of a model of structural phase transitions with a long-range interaction
| Autor: | E S Pisanova |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Physics: Conference Series. 2436:012012 |
| ISSN: | 1742-6596 1742-6588 |
| DOI: | 10.1088/1742-6596/2436/1/012012 |
| Popis: | The critical specific heat capacity c of a d-dimensional model describing structural phase transitions in an anharmonic crystal with a long-range interaction (decreasing at large distances r as r −d−σ , 0 < σ ≤ 2) is studied near the classical critical point Tc . At temperatures T > Tc and for dimensions σ < d < 2σ (σ and 2σ are the lower and the upper critical dimensions, respectively) the critical specific heat capacity is obtained in the form c ≈ 1 − Dεαs , where D > 0 and αs < 0 depend only on the ratio d/σ, and ε = T/Tc −1 is a measure of the deviation from the critical point. For three fixed values of the ratio d/σ the dependence c ≈ c(ε) is graphically presented. It is shown that at all temperatures T ≤ Tc the specific heat capacity retains its maximum value, c max = 1. The critical exponent αs , obtained here, coincides with that of the known mean spherical model, while c max is different for the two models. |
| Databáze: | OpenAIRE |
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