Abstract The scaling of correlations as a function size provides important hints to understand critical phenomena on variety systems. Its study in biological structures offers two challenges: usually they are not infinite size, and, the majority cases, dimensions can be varied at will. Here we discuss how finite-size approximated an experimental system fixed and relatively small extent, by comp...

We combined the finite-size scaling method with the finite element method to provide a systematic procedure for obtaining quantum critical parameters for a quantum system. We present results for the Yukawa potential solved with the finite element approach. The finite-size scaling approach was then used to find the critical parameters of the system. The critical values lambda c, alpha, and nu we...

We formulate theoretical basis of recently proposed finite-size scaling method for estimation and elimination of sub-leading scaling field in Monte Carlo simulation of critical phenomena. We also applied the finite-size scaling method to D = 3, 4 lattice φ 4 model, and obtained renormalization flow diagram of leading and sub-leading scaling field. For D = 4, result is compared to finite-size pe...