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Hysteresis and criticality in hybrid percolation transitions
- Source :
- Chaos (Woodbury, N.Y.). 30(5)
- Publication Year :
- 2020
-
Abstract
- Phase transitions (PTs) are generally classified into second-order and first-order transitions, each exhibiting different intrinsic properties. For instance, a first-order transition exhibits latent heat and hysteresis when a control parameter is increased and then decreased across a transition point, whereas a second-order transition does not. Recently, hybrid percolation transitions (HPTs) are issued in diverse complex systems, in which the features of first-order and second-order PTs occur at the same transition point. Thus, the question whether hysteresis appears in an HPT arises. Herein, we investigate this fundamental question with a so-called restricted Erd\H{o}s--R\'enyi random network model, in which a cluster fragmentation process is additionally proposed. The hysteresis curve of the order parameter was obtained. Depending on when the reverse process is initiated, the shapes of hysteresis curves change, and the critical behavior of the HPT is conserved throughout the forward and reverse processes.
- Subjects :
- Phase transition
Materials science
Condensed matter physics
Statistical Mechanics (cond-mat.stat-mech)
Applied Mathematics
Complex system
General Physics and Astronomy
FOS: Physical sciences
Statistical and Nonlinear Physics
01 natural sciences
Random network model
010305 fluids & plasmas
Criticality
Transition point
Latent heat
0103 physical sciences
010306 general physics
Mathematical Physics
Condensed Matter - Statistical Mechanics
Subjects
Details
- ISSN :
- 10897682
- Volume :
- 30
- Issue :
- 5
- Database :
- OpenAIRE
- Journal :
- Chaos (Woodbury, N.Y.)
- Accession number :
- edsair.doi.dedup.....cab339c7a2b45219b24ab534a78ca0b2