Report
Geometrical aspects in the analysis of microcanonical phase-transitions
| العنوان: | Geometrical aspects in the analysis of microcanonical phase-transitions |
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| المؤلفون: | Bel-Hadj-Aissa, Ghofrane, Gori, Matteo, Penna, Vittorio, Pettini, Giulio, Franzosi, Roberto |
| المصدر: | Entropy 2020, 22, 380 |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Mathematical Physics |
| الوصف: | In the present work, we discuss how the functional form of thermodynamic observables can be deduced from the geometric properties of subsets of phase space. The geometric quantities taken into account are mainly extrinsic curvatures of the energy level sets of the Hamiltonian of a system under investigation. In particular, it turns out that peculiar behaviours of thermodynamic observables at a phase transition point are rooted in more fundamental changes of the geometry of the energy level sets in phase space. More specifically, we discuss how microcanonical and geometrical descriptions of phase-transitions are shaped in the special case of $\phi^4$ models with either nearest-neighbours and mean-field interactions. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/e22040380 |
| URL الوصول: | http://arxiv.org/abs/2002.06986 |
| رقم الانضمام: | edsarx.2002.06986 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/e22040380 |
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