Geometrical aspects in the analysis of microcanonical phase-transitions
| Autor: | Giulio Pettini, Vittorio Penna, Roberto Franzosi, Ghofrane Bel-Hadj-Aissa, Matteo Gori |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Phase transition
General Physics and Astronomy FOS: Physical sciences lcsh:Astrophysics 01 natural sciences Article 010305 fluids & plasmas symbols.namesake Theoretical physics lcsh:QB460-466 0103 physical sciences Differential geometry Special case lcsh:Science 010306 general physics Condensed Matter - Statistical Mechanics Mathematical Physics Microcanonical ensemble Phase transitions Physics Statistical Mechanics (cond-mat.stat-mech) Observable Mathematical Physics (math-ph) microcanonical ensemble phase transitions differential geometry lcsh:QC1-999 Phase space symbols Computer Science::Programming Languages lcsh:Q Hamiltonian (quantum mechanics) lcsh:Physics |
| Zdroj: | Entropy Volume 22 Issue 4 Entropy, Vol 22, Iss 4, p 380 (2020) |
| Popis: | 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 ϕ 4 models with either nearest-neighbours and mean-field interactions. |
| Databáze: | OpenAIRE |
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