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Principal component analysis of absorbing state phase transitions

Cristiano Muzzi
•
Ronald Santiago Cortes
•
Devendra Singh Bhakuni
altro
Roberto Verdel
2024
  • journal article

Periodico
PHYSICAL REVIEW. E
Abstract
We perform a principal component analysis (PCA) of two one dimensional lattice models belonging to distinct nonequilibrium universality classes—directed bond percolation and branching and annihilating random walks with an even number of offspring. We find that the uncentered PCA of data sets storing various system’s configurations can be successfully used to determine the critical properties of these nonequilibrium phase transitions. In particular, in both cases, we obtain good estimates of the critical point and the dynamical critical exponent of the models. For directed bond percolation, we are furthermore able to extract critical exponents associated with the correlation length and the order parameter. We discuss the relation of our analysis with low-rank approximations of data sets.
DOI
10.1103/PhysRevE.110.064121
WOS
WOS:001379141000005
Archivio
https://hdl.handle.net/20.500.11767/144050
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85212565016
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.110.064121
https://arxiv.org/abs/2405.12863
https://ricerca.unityfvg.it/handle/20.500.11767/144050
Diritti
closed access
Soggetti
  • Settore PHYS-02/A - F...

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