Two-dimensional magnetic cluster growth with a power–law interaction

2008 ◽  
Vol 254 (11) ◽  
pp. 3249-3254
Author(s):  
Xiaojun Xu ◽  
Yiqi Wu ◽  
Gaoxiang Ye
Keyword(s):  
Power Law ◽  
Cluster Growth ◽  
Two Dimensional ◽  
Magnetic Cluster

scholarly journals Extra investigation of the self-organized critical Manna model at higher critical dimension

2021 ◽  
pp. 1-12
Author(s):  
Andrey Viktorovich Podlazov
Keyword(s):  
Power Law ◽  
Critical Dimension ◽  
The Self ◽  
Two Dimensional ◽  
Upper Critical Dimension ◽  
Self Organized ◽  
Logarithmic Corrections ◽  
Universal Indicator ◽  
Sandpile Models ◽  
Power Law Distributions

I investigate the nature of the upper critical dimension for isotropic conservative sandpile models and calculate the emerging logarithmic corrections to power-law distributions. I check the results experimentally using the case of Manna model with the theoretical solution known for all statement starting from the two-dimensional one. In addition, based on this solution, I construct a non-trivial super-universal indicator for this model. It characterizes the distribution of avalanches by time the border of their region needs to pass its width.

Concentration Phase Transition in a Two-Dimensional Ferromagnet

2020 ◽  
Vol 312 ◽  
pp. 244-250
Author(s):  
Alexander Konstantinovich Chepak ◽  
Leonid Lazarevich Afremov ◽  
Alexander Yuryevich Mironenko
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Thermal Effect ◽  
Spin State ◽  
Critical Concentration ◽  
Two Dimensional ◽  
Percolation Transition ◽  
Magnetic Cluster ◽  
The Monte Carlo Method

The concentration phase transition (CPT) in a two-dimensional ferromagnet was simulated by the Monte Carlo method. The description of the CPT was carried out using various order parameters (OP): magnetic, cluster, and percolation. For comparison with the problem of the geometric (percolation) phase transition, the thermal effect on the spin state was excluded, and thus, CPT was reduced to percolation transition. For each OP, the values ​​of the critical concentration and critical indices of the CPT are calculated.

scholarly journals Collision-dependent power law scalings in two dimensional gyrokinetic turbulence

2014 ◽  
Vol 21 (8) ◽  
pp. 082305 ◽  
Author(s):  
S. S. Cerri ◽  
A. Bañón Navarro ◽  
F. Jenko ◽  
D. Told
Keyword(s):  
Power Law ◽  
Two Dimensional

STATIC STATISTICAL APPROACH TO THE BTW SANDPILE MODEL

Fractals ◽  
2006 ◽  
Vol 14 (01) ◽  
pp. 55-61
Author(s):  
DAHUI WANG ◽  
WEITING CHEN ◽  
QIANG YUAN ◽  
ZENGRU DI
Keyword(s):  
Power Law ◽  
Stable Distribution ◽  
Particle Number ◽  
Statistical Approach ◽  
Negative Temperature ◽  
Two Dimensional ◽  
Power Law Distribution ◽  
Sandpile Model ◽  
Total Particle ◽  
The One

A static statistical approach to the Bak, Tang and Wiesenfeld (BTW) sandpile model is proposed. With this approach, the exact avalanche distribution of the one-dimensional BTW sandpile is given concisely. Furthermore, we investigate the two-dimensional BTW sandpile and obtain some interesting results. First, the total particle number of the two-dimensional BTW sandpile obeys some kind of stable distribution. With the increase of the sandpile scale, the stable distribution transits from Gamma to Normal distribution. Second, when the total number of particles is fixed, the avalanche distribution is not power law. The system, however, shows a kind of "negative temperature" phenomenon when the particle number increases. Third, power law distribution of the avalanche could be viewed as the result of the superposition of a series of weighted distributions which do not yield power law.

Non-Darcy Free Convection of Power-Law Fluids Over a Two-Dimensional Body Embedded in a Porous Medium

2010 ◽  
Vol 86 (3) ◽  
pp. 965-972 ◽  
Author(s):  
M. F. El-Amin ◽  
S. Sun ◽  
M. A. El-Ameen ◽  
Y. A. Jaha ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Power Law ◽  
Two Dimensional ◽  
Power Law Fluids
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