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 …

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

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 …

We obtain precise plateau estimates for the two-point function of the finite-volume weakly-
coupled hierarchical $|\varphi|^ 4$ model in dimensions $ d\ge 4$, for both free and periodic …

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

For statistical mechanical systems with continuous phase transitions, there are two closely
related but subtly different mean-field treatments, the Gaussian fixed point (GFP) in the …

Simulations are performed for long hard‐sphere polymer chains using a recently developed
binary‐tree based Monte Carlo method. Systems in two to five dimensions with free and …

The crossover between short-range and long-range (LR) universal behaviors remains a
central theme in the physics of long-range interacting systems. The competition between LR …

We introduce an efficient nonreversible Markov chain Monte Carlo algorithm to generate self-
avoiding walks with a variable endpoint. In two dimensions, the new algorithm slightly …