Universal spectrum structure at nonequilibrium critical points in the (1+1)-dimensional directed percolation

2020/08/25 by Kenji Harada, Harada, Kenji
Mathematics · Physics and Astronomy · #Anisotropy #Complex Network Analysis Techniques #Condensed matter physics #Continuum percolation theory #Critical exponent #Critical phenomena #Directed percolation #FOS: Physical sciences #Geometry #Mathematical physics #Mathematics #Non-equilibrium thermodynamics #Percolation (cognitive psychology) #Percolation critical exponents #Percolation theory #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Renormalization group #Spectrum (functional analysis) #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Tensor (intrinsic definition) #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.2008.10807

6 pages, 7 figures

arxiv created 2020/08/25 · openalex publication_date 2020/08/25 · arxiv updated 2020/08/26 · openalex created_date 2020/09/01 · openalex updated_date 2026/08/05

Abstract

Using a tensor renormalization group method with oblique projectors for an anisotropic tensor network, we confirm that the rescaled spectrum of transfer matrices at nonequilibrium critical points in the (1+1)-dimensional directed percolation, a canonical model of nonequilibrium critical phenomena, is scale-invariant and its structure is universal.

Citations

• Low-density series expansions for directed percolation: I. A new efficient algorithm with applications to the square lattice

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