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Description of glass transition kinetics in 3DXYmodel in terms of gauge field theory
- Source :
- Physica A: Statistical Mechanics and its Applications. 525:1161-1169
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- We consider a gauge theory of the glass transition in the frustrated XY model being simplest model containing topologically nontrivial excitations. We describe the transition kinetics and find that the three-dimensional system exhibits the Vogel-Fulcher-Tamman criticality heralding its freezing into a spin glass. We analytically show that the system demonstrates all glass transition properties, like the logarithmic relaxation, and corresponding behavior of linear and non-linear susceptibility. The mode-coupling theory equation in the Zwanziger-Mori representation also is derived in framework of our approach. Our findings provide insights into the topological origin of glass formation, that allows to make progress in understanding glass-transition processes in more intricate systems.<br />18 pages. arXiv admin note: text overlap with arXiv:1712.00757
- Subjects :
- Statistics and Probability
Physics
Spin glass
Statistical Mechanics (cond-mat.stat-mech)
Logarithm
FOS: Physical sciences
Statistical and Nonlinear Physics
Classical XY model
Condensed Matter::Disordered Systems and Neural Networks
01 natural sciences
010305 fluids & plasmas
Condensed Matter::Soft Condensed Matter
Theoretical physics
0103 physical sciences
Topological order
Relaxation (physics)
Gauge theory
010306 general physics
Representation (mathematics)
Glass transition
Condensed Matter - Statistical Mechanics
Subjects
Details
- ISSN :
- 03784371
- Volume :
- 525
- Database :
- OpenAIRE
- Journal :
- Physica A: Statistical Mechanics and its Applications
- Accession number :
- edsair.doi.dedup.....b949e18a8544a406de903d483dd405ab