On the origin of phase transitions in the absence of symmetry-breaking
| Autor: | Giulio Pettini, Marco Pettini, Cecilia Clementi, Roberto Franzosi, Matteo Gori |
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| Přispěvatelé: | Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), CPT - E7 Systèmes dynamiques : théories et applications, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), C.N.I.S.M. UdR di Firenze and Dipartimento di Fisica, Università degli Studi di Firenze = University of Florence [Firenze] (UNIFI), Università degli Studi di Firenze = University of Florence (UniFI) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Phase transition Hamiltonian dynamics and phase transitions Configuration entropy FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas symbols.namesake Theoretical physics 0103 physical sciences Microcanonical phase transitions Equipotential Symmetry breaking [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] 010306 general physics Condensed Matter - Statistical Mechanics Hamiltonian mechanics Physics Statistical Mechanics (cond-mat.stat-mech) Topology and phase transitions LATTICE GAUGE-THEORY MICROCANONICAL ENSEMBLE HAMILTONIAN-DYNAMICS LYAPUNOV EXPONENTS TOPOLOGY GEOMETRY Condensed Matter Physics symbols Ising model Configuration space Hamiltonian (quantum mechanics) |
| Zdroj: | Physica A: Statistical Mechanics and its Applications Physica A: Statistical Mechanics and its Applications, Elsevier, 2019, 516, pp.376-392. ⟨10.1016/j.physa.2018.10.001⟩ Physica A: Statistical Mechanics and its Applications, 2019, 516, pp.376-392. ⟨10.1016/j.physa.2018.10.001⟩ Physica. A 516 (2019): 376–392. doi:10.1016/j.physa.2018.10.001 info:cnr-pdr/source/autori:Pettini, Giulio; Gori, Matteo; Franzosi, Roberto; Clementi, Cecilia; Pettini, Marco/titolo:On the origin of phase transitions in the absence of symmetry-breaking/doi:10.1016%2Fj.physa.2018.10.001/rivista:Physica. A (Print)/anno:2019/pagina_da:376/pagina_a:392/intervallo_pagine:376–392/volume:516 |
| ISSN: | 0378-4371 |
| Popis: | In this paper we investigate the Hamiltonian dynamics of a lattice gauge model in three spatial dimension. Our model Hamiltonian is defined on the basis of a continuum version of a duality transformation of a three dimensional Ising model. The system so obtained undergoes a thermodynamic phase transition in the absence of symmetry-breaking. Besides the well known use of quantities like the Wilson loop we show how else the phase transition in such a kind of models can be detected. It is found that the first order phase transition undergone by this model is characterised according to an Ehrenfest-like classification of phase transitions applied to the configurational entropy. On the basis of the topological theory of phase transitions, it is discussed why the seemingly divergent behaviour of the third derivative of configurational entropy can be considered as the "shadow" of some suitable topological transition of certain submanifolds of configuration space. 31 pages, 9 figures |
| Databáze: | OpenAIRE |
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