Universality and nonmonotonic finite-size effects above the upper critical dimension
X. S. Chen, V. Dohm
Abstract
We analyze universal and nonuniversal finite-size effects of lattice systems in a Ld geometry above the upper critical dimension d = 4 within the O(n) symmetric ϕ4 lattice theory. On the basis of exact results for n ∞ and one-loop results for n = 1 we identify significant lattice effects that cannot be explained by the ϕ4 continuum theory. Our analysis resolves longstanding discrepancies between earlier asymptotic theories and Monte Carlo (MC) data for the five-dimensional Ising model of small size. We predict a nonmonotonic L dependence of the scaled susceptibility χL-d/2 at Tc with a weak maximum that has not yet been detected by MC data.
Create a lesson
Related papers
Dynamically Reentrant Skyrmion Phase in Oscillating Magnetic Fields
Z. Demir Vatansever, E. Vatansever, A. Vasilopoulos et al.
Mutual linearity in semi-Markov networks
Julian B. Voits, Ulrich S. Schwarz
Steady states in asymmetric exclusion processes with reactions: Fluctuations and non-mean field behaviour
Rohn Chatterjee, Atri Goswami, Sudip Mukherjee
Marginal Operator Deformations and Pseudocriticality in Baxter--Wu Models
Hyun-Yong Lee, Naoki Kawashima, Nikolaos G. Fytas et al.
Kardar--Parisi--Zhang density hydrodynamics in a coherent XXZ--ASEP Lindbladian
Yansheng Liu, Daoguang Li, Kaixiang Lu et al.
Brownian gyrator model with stochastic resetting
Satya N. Majumdar, Gregory Schehr, Pascal Viot et al.