Universal amplitude ratios for constrained critical systems
نویسندگان
چکیده
منابع مشابه
Universal amplitude ratios for scaling corrections on Ising strips.
We study the (analytic) finite-size corrections in the Ising model on the strip with free, fixed (++), and mixed boundary conditions. For fixed (++) boundary conditions, the spins are fixed to the same values on two sides of the strip. We find that subdominant finite-size corrections to scaling should be to the form a(p)/N(2p-1) for the free energy f(N) and b(p)/N(2p-1) for inverse correlation ...
متن کاملUniversal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
Using results from conformal field theory, we compute several universal amplitude ratios for the two-dimensional Ising model at criticality on a symmetric torus. These include the correlation-length ratio x⋆ = limL→∞ ξ(L)/L and the first four magnetization moment ratios V2n = 〈M2n〉/〈M2〉n. As a corollary we get the renormalized four-point coupling constant for the massless theory on a symmetric ...
متن کاملUniversal Amplitude Ratios in the 3D Ising Model
We present a high precision Monte Carlo study of various universal amplitude ratios of the three dimensional Ising spin model. Using state of the art simulation techniques we studied the model close to criticality in both phases. Great care was taken to control systematic errors due to finite size effects and correction to scaling terms. We obtain C+/C− = 4.75(3), f+,2nd/f−,2nd = 1.95(2) and u ...
متن کاملA new class of short distance universal amplitude ratios
We propose a new class of universal amplitude ratios which involve the first terms of the short distance expansion of the correlators of a statistical model in the vicinity of a critical point. We will describe the critical system with a conformal field theory (UV fixed point) perturbed by an appropriate relevant operator. In two dimensions the exact knowledge of the UV fixed point allows for a...
متن کاملUniversal amplitude ratios in the 2D four state Potts model
We present a Monte Carlo study of various universal amplitude ratios of the two dimensional q = 4 Potts model. We simulated the model close to criticality in both phases taking care to keep the systematic errors, due to finite size effects and logarithmic corrections in the scaling functions, under control. Our results are compatible with the existing low temperature series for the model and we...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2014
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2014/7/p07011