scholarly journals The CrMES scheme as an alternative to importance sampling: The tail regime of the order-parameter distribution

2006 ◽  
Vol 365 (1) ◽  
pp. 197-202
Author(s):  
Anastasios Malakis ◽  
Nikolaos G. Fytas
Keyword(s):  
Importance Sampling ◽  
Order Parameter ◽  
Parameter Distribution

scholarly journals Universal scaling of the order-parameter distribution in strongly disordered superconductors

2013 ◽  
Vol 87 (18) ◽  
Author(s):  
G. Lemarié ◽  
A. Kamlapure ◽  
D. Bucheli ◽  
L. Benfatto ◽  
J. Lorenzana ◽  
...  
Keyword(s):  
Order Parameter ◽  
Parameter Distribution ◽  
Universal Scaling ◽  
Disordered Superconductors

scholarly journals Influence of Spatial Inhomogeneity on the Formation of Chaotic Modes at the Self-Organization Process

2020 ◽  
Vol 65 (2) ◽  
pp. 130 ◽  
Author(s):  
Z. M. Liashenko ◽  
I. A. Lyashenko
Keyword(s):  
Order Parameter ◽  
Spatial Inhomogeneity ◽  
Lorenz Attractor ◽  
Parameter Distribution ◽  
The Third ◽  
Negative Order ◽  
Second Mode ◽  
Chaotic Modes ◽  
Whole Space ◽  
Parameter Values

The Lorentz system of equations, in which gradient terms are taken into account, has been solved numerically. Three fundamentally different modes of evolution are considered. In the first mode, the spatial distribution of the order parameter permanently changes in time, and domains of two types with positive and negative order parameter values are formed. In the second mode, the order parameter distribution is close to the stationary one. Finally, in the third mode, the order parameter is identical over the whole space. The dependences of the average area of domains, their number, and their total area on the time are calculated in the first two cases. In the third case, the contribution of gradient terms completely vanishes, and a classical Lorenz attractor is realized.

scholarly journals UNIVERSAL FINITE-SIZE-SCALING FUNCTIONS

1996 ◽  
Vol 07 (03) ◽  
pp. 287-294 ◽  
Author(s):  
YUTAKA OKABE ◽  
MACOTO KIKUCHI
Keyword(s):  
Monte Carlo ◽  
Distribution Function ◽  
Order Parameter ◽  
Finite Size ◽  
Square Lattice ◽  
Parameter Distribution ◽  
Scaling Functions ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Regular Lattices

The idea of universal finite-size-scaling functions of the Ising model is tested by Monte Carlo simulations for various lattices. Not only regular lattices such as the square lattice but quasiperiodic lattices such as the Penrose lattice are treated. We show that the finite-size-scaling functions of the order parameter for various lattices are collapsed on a single curve by choosing two nonuniversal scaling metric factors. We extend the idea of the universal finite-size-scaling functions to the order-parameter distribution function. We pay attention to the effects of boundary conditions.

Order Parameter Distribution and Phase Transition Temperature for a Thin Film With Asymmetric Boundaries

2012 ◽  
Vol 437 (1) ◽  
pp. 8-15 ◽  
Author(s):  
K. R. Gabbasova ◽  
A. L. Pirozerskii ◽  
E. V. Charnaya ◽  
Cheng Tien ◽  
A. S. Bugaev
Keyword(s):  
Thin Film ◽  
Phase Transition ◽  
Transition Temperature ◽  
Phase Transition Temperature ◽  
Order Parameter ◽  
Parameter Distribution

Renormalization-Group Theory of Critical Phenomena in Confined Systems: Order-Parameter Distribution Function

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1277-1290 ◽  
Author(s):  
X. S. Chen ◽  
V. Dohm
Keyword(s):  
Distribution Function ◽  
Renormalization Group ◽  
Critical Point ◽  
Order Parameter ◽  
Three Dimensional ◽  
Finite Size ◽  
Finite Geometry ◽  
Parameter Distribution ◽  
Monte Carlo Data ◽  
Novel Approach

We present a renormalization-group study of the order-parameter distribution function near the critical point of O(n) symmetric three-dimensional (3D) systems in a finite geometry. The distribution function is calculated within the φ4 field theory for a 3D cube with periodic boundary conditions by means of a novel approach that appropriately deals with the Goldstone modes below T c . Results are given for both vanishing and finite external field h. The results describe finite-size effects near the critical point in the h– T-plane including the first-order transition at the coexistence line at h = 0 below T c . Quantitative theoretical predictions of the finite-size scaling function are presented for the Ising (n=1), XY(n=2) and Heisenberg (n=3) models. Good agreement is found with recent Monte Carlo data.

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