In any medium there are fluctuations due to temperature or due to the quantum nature of its
constituents. If a material body is immersed into such a medium, its shape and the properties …

Universality is a pillar of modern critical phenomena. The standard scenario is that the two-
point correlation algebraically decreases with the distance r as g (r)∼ r 2-d-η, with d the …

Recently, we argued [Chin. Phys. Lett. 39, 080502 (2022) 0256-307X 10.1088/0256-
307X/39/8/080502] that the Ising model simultaneously exhibits two upper critical …

We address a long-standing debate regarding the finite-size scaling (FSS) of the Ising model
in high dimensions, by introducing a random-length random walk model, which we then …

We present a new unified theory of critical finite-size scaling for lattice statistical mechanical
models with periodic boundary conditions above the upper critical dimension. The universal …

Two-point functions of random-length random walk on high-dimensional boxes - IOPscience
This site uses cookies. By continuing to use this site you agree to our use of cookies. To find …

Field-theoretical calculations predict that, at the upper critical dimension dc= 4, the finite-size
scaling (FSS) behaviors of the Ising model would be modified by multiplicative logarithmic …

The recent discovery of extraordinary-log universality has generated intense interest in
classical and quantum boundary critical phenomena. Despite tremendous efforts, the …

We study unwrapped two-point functions for the Ising model, the self-avoiding walk (SAW)
and a random-length loop-erased random walk on high-dimensional lattices with periodic …

The upper critical dimension of the Ising model is known to be dc= 4, above which critical
behavior is regarded to be trivial. We hereby argue from extensive simulations that, in the …