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Large deviations in models of growing clusters with symmetry-breaking transitions
- Publication Year :
- 2019
-
Abstract
- We analyse large deviations of the magnetisation in two models of growing clusters. The models have symmetry-breaking transitions, so the typical magnetisation of a growing cluster may be either positive or negative, with equal probability. For large clusters, the magnetisation obeys a large deviation principle. We show that the corresponding rate function is zero for values of the magnetisation that are intermediate between the two steady state values, which means that fluctuations with these values of the magnetisation are much less unlikely than previously thought. We show that their probabilities decay as power laws in the cluster size, instead of the exponential scaling that would be expected from the large deviation principle. We discuss how this observation is related to dynamical phase coexistence phenomena. We also comment on the typical size of magnetisation fluctuations.<br />16 pages, authors accepted version
- Subjects :
- Physics
Condensed matter physics
Statistical Mechanics (cond-mat.stat-mech)
FOS: Physical sciences
01 natural sciences
Power law
5103 Classical Physics
010305 fluids & plasmas
Magnetization
4905 Statistics
Phase (matter)
0103 physical sciences
Cluster (physics)
49 Mathematical Sciences
Large deviations theory
Symmetry breaking
010306 general physics
Scaling
Rate function
51 Physical Sciences
Condensed Matter - Statistical Mechanics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....667540c134ba3b0ea26d1712b47ae692