Principal component analysis of absorbing state phase transitions

被引：0
作者：
Muzzi, Cristiano [1 ,2 ]
Cortes, Ronald Santiago [1 ,3 ]
Bhakuni, Devendra Singh [3 ]
Jelic, Asja [3 ]
Gambassi, Andrea [1 ,2 ]
Dalmonte, Marcello [3 ]
Verdel, Roberto [3 ]
机构：
[1] SISSA Int Sch Adv Studies, Via Bonomea 265, I-34136 Trieste, Italy
[2] Ist Nazl Fis Nucl, Sez Trieste, via Valerio 2, I-34127 Trieste, Italy
[3] ICTP Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy
来源：
PHYSICAL REVIEW E | 2024年 / 110卷 / 06期
关键词：
RENORMALIZATION-GROUP; UNIVERSALITY CLASS; CRITICAL EXPONENTS; PERCOLATION; BEHAVIOR; SYSTEMS; MODELS;
D O I：
10.1103/PhysRevE.110.064121
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
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.
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页数：17
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