Spectral renormalization group for the Gaussian model and 𝜓4 theory on nonspatial networks

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Tarih

2015-08-06

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Yayıncı

American Physical Society

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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Organizasyon Birimleri

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Özet

We implement the spectral renormalization group on different deterministic nonspatial networks without translational invariance. We calculate the thermodynamic critical exponents for the Gaussian model on the Cayley tree and the diamond lattice and find that they are functions of the spectral dimension, (d) over tilde. The results are shown to be consistent with those from exact summation and finite-size scaling approaches. At (d) over tilde = 2, the lower critical dimension for the Ising universality class, the Gaussian fixed point is stable with respect to a psi(4) perturbation up to second order. However, on generalized diamond lattices, non-Gaussian fixed points arise for 2 < <(d)over tilde> < 4.

Açıklama

Anahtar Kelimeler

Cayley tree, Complex networks, Hierarchical lattices, Ising-model, Statistical-mechanics, Systems, Thermodynamic limit, Lattices, Systems, Trees, Crystal lattices, Group theory, Order disorder transitions, Statistical mechanics, Finite size scaling, Gaussian fixed point, Lower critical dimension, Non-Gaussian fixed points, Spectral dimensions, Spectral renormalization, Translational invariance, Universality class, Gaussian distribution

Kaynak

Physical Review E

WoS Q Değeri

Q1

Scopus Q Değeri

N/A

Cilt

92

Sayı

2

Künye

Tuncer, A., & Erzan, A. (2015). Spectral renormalization group for the gaussian model and psi(4) theory on nonspatial networks. Physical Review e, 92(2) doi:10.1103/PhysRevE.92.022106