Spectral renormalization group for the Gaussian model and 𝜓4 theory on nonspatial networks
Yükleniyor...
Dosyalar
Tarih
2015-08-06
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Physical Society
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
