Calculations of the dynamical critical exponent using the asymptotic series summation method

Abstract

We consider how the Pad'e-Borel, Pad'e-Borel-Leroy, and conformal mapping summation methods for asymptotic series can be used to calculate the dynamical critical exponent for homogeneous and disordered Ising-like systems.

arXiv comment21 RevTeX pages, 2 figures

References in corpus (6)

• Critical exponents of the three dimensional diluted Ising model
• Critical exponents for 3D O(n)-symmetric model with n > 3
• Randomly dilute spin models: a six-loop field-theoretic study
• Monte Carlo computation of correlation times of independent relaxation modes at criticality
• Universality in the off-equilibrium critical dynamics of the $3d$ diluted Ising model
• Instantons for Dynamic Models from B to H

Cited by in corpus (13)

• The nonperturbative functional renormalization group and its applications
• Non-perturbative Approach to Critical Dynamics
• Frequency regulators for the nonperturbative renormalization group: A general study and the model A as a benchmark
• Short-time dynamics and critical behavior of three-dimensional site-diluted Ising model
• The dynamic critical exponent $z$ of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model
• From quantum to classical dynamics: The relativistic $O(N)$ model in the framework of the real-time functional renormalization group
• The dynamic critical exponent $z$ for 2d and 3d Ising models from five-loop $\epsilon$ expansion
• Relaxational dynamics in 3D randomly diluted Ising models
• Model A of critical dynamics: 5-loop $\epsilon$ expansion study
• Critical dynamics of an isothermal compressible non-ideal fluid
• Effective and asymptotic criticality of structurally disordered magnets
• Equilibrium and out-of-equilibrium critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy
• Emergence of the 3D diluted Ising model universality class in a mixture of two magnets