Monte Carlo mean-field theory and frustrated systems in two and three dimensions

1991 ◽  
Vol 66 (3) ◽  
pp. 377-380 ◽  
Author(s):  
Roland Netz ◽  
A. Berker
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Mean Field Theory ◽  
Mean Field ◽  
Three Dimensions ◽  
Frustrated Systems

Normal Grain Growth in Three Dimensions: Monte Carlo Potts Model Simulation and Mean-Field Theory

2007 ◽  
Vol 550 ◽  
pp. 589-594 ◽  
Author(s):  
Dana Zöllner ◽  
Peter Streitenberger
Keyword(s):  
Field Theory ◽  
Grain Size ◽  
Monte Carlo ◽  
Distribution Function ◽  
Grain Growth ◽  
Mean Field Theory ◽  
Mean Field ◽  
Size Distribution Function ◽  
Three Dimensions ◽  
Self Similar

A modified Monte Carlo Potts model algorithm for single-phase normal grain growth in three dimensions in presented, which enables an extensive statistical analysis of the growth kinetics and topological properties of the microstructure within the quasi-stationary self-similar coarsening regime. From the mean-field theory an analytical grain size distribution function is derived, which is based on a quadratic approximation of the average self-similar volumetric rate of change as a function of the relative grain size as it has been determined from the simulation. The analytical size distribution function is found to be in excellent agreement with the simulation results.

Electronic and magnetic properties of honeycomb transition metal monolayers: first-principles insights

2014 ◽  
Vol 16 (26) ◽  
pp. 13383-13389 ◽  
Author(s):  
Xinru Li ◽  
Ying Dai ◽  
Yandong Ma ◽  
Baibiao Huang
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Magnetic Properties ◽  
Transition Metal ◽  
First Principles ◽  
Mean Field Theory ◽  
Mean Field ◽  
Electronic And Magnetic Properties ◽  
Dirac Systems

The electronic and magnetic properties of d-electron-based Dirac systems are studied by combining first-principles with mean field theory and Monte Carlo approaches.

Ferrimagnetic mixed Ising spin (7/2, 1/2) system: By Mean Field Theory, exact recursion relations and Monte Carlo method

2021 ◽  
pp. 413627
Author(s):  
G. Dimitri Ngantso ◽  
M. Karimou ◽  
A.L. Okana-Lomanga ◽  
A. Kadiri ◽  
R.A. Yessoufou ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Mean Field Theory ◽  
Mean Field ◽  
Recursion Relations ◽  
Ising Spin

THEORETICAL INVESTIGATION OF ASYMMETRIC SIMPLE EXCLUSION PROCESSES WITH OFF-RAMP ON THE BOUNDARIES

2012 ◽  
Vol 26 (24) ◽  
pp. 1250155 ◽  
Author(s):  
SONG XIAO ◽  
SHUYING WU ◽  
LIQIONG TANG ◽  
DONGSHENG ZHENG ◽  
JING SHANG
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Computer Simulations ◽  
Mean Field Theory ◽  
Mean Field ◽  
Exclusion Processes ◽  
Density Profiles ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
Good Agreement

In this letter, asymmetric simple exclusion processes with off-ramp on the boundaries have been studied by asymmetric simple exclusion processes (ASEPs). In this model, particles can only detach from a single off-ramp on the boundaries of the system. The phase diagrams and density profiles are calculated by approximate mean field theory and have shown good agreement with the extensive Monte Carlo computer simulations.

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