Effects of pair correlation on mean-field theory of BTW sand pile model

2010 ◽  
Vol 389 (12) ◽  
pp. 2339-2350 ◽  
Author(s):  
H.-S. Chen ◽  
G.Y. Wu
Keyword(s):  
Field Theory ◽  
Pair Correlation ◽  
Mean Field Theory ◽  
Mean Field ◽  
Sand Pile ◽  
Pile Model

Generalized mean field theory of molecular liquids. II. Thermodynamic properties

1979 ◽  
Vol 57 (10) ◽  
pp. 1605-1613 ◽  
Author(s):  
C. G. Gray ◽  
R. L. Henderson
Keyword(s):  
Field Theory ◽  
Computer Simulation ◽  
Thermodynamic Properties ◽  
Pair Correlation ◽  
Mean Field Theory ◽  
Mean Field ◽  
Intermolecular Forces ◽  
Molecular Liquids ◽  
Lennard Jones ◽  
Generalized Mean

The generalized mean field (GMF) theory for the angular pair correlation function g(rω1ω2) for a molecular fluid, derived in an earlier paper, is applied to the calculation of the fluid thermodynamic properties. Explicit expressions are derived for the contribution of the anisotropic intermolecular forces to the free energy, energy, and pressure of the fluid. Numerical results are presented for a fluid with Lennard-Jones plus quadrupole–quadrupole interaction, and are compared to computer simulation and to perturbation theory (Padé) results.

Mean field theory of n-layer unbinding

1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models

scholarly journals Intrinsic dissipative Floquet superconductors beyond mean-field theory

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Qinghong Yang ◽  
Zhesen Yang ◽  
Dong E. Liu
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field

scholarly journals Single Chain Mean-Field Theory Study on Responsive Behavior of Semiflexible Polymer Brush

Materials ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 778
Author(s):  
Yingli Niu ◽  
Xiangyu Bu ◽  
Xinghua Zhang
Keyword(s):  
Field Theory ◽  
Message Passing Interface ◽  
Mean Field Theory ◽  
Mean Field ◽  
Algorithmic Complexity ◽  
Ensemble Average ◽  
Single Chain ◽  
Metropolis Monte Carlo ◽  
Rigid Rod ◽  
Chain Conformations

The application of single chain mean-field theory (SCMFT) on semiflexible chain brushes is reviewed. The worm-like chain (WLC) model is the best mode of semiflexible chain that can continuously recover to the rigid rod model and Gaussian chain (GC) model in rigid and flexible limits, respectively. Compared with the commonly used GC model, SCMFT is more applicable to the WLC model because the algorithmic complexity of the WLC model is much higher than that of the GC model in self-consistent field theory (SCFT). On the contrary, the algorithmic complexity of both models in SCMFT are comparable. In SCMFT, the ensemble average of quantities is obtained by sampling the conformations of a single chain or multi-chains in the external auxiliary field instead of solving the modified diffuse equation (MDE) in SCFT. The precision of this calculation is controlled by the number of bonds Nm used to discretize the chain contour length L and the number of conformations M used in the ensemble average. The latter factor can be well controlled by metropolis Monte Carlo simulation. This approach can be easily generalized to solve problems with complex boundary conditions or in high-dimensional systems, which were once nightmares when solving MDEs in SCFT. Moreover, the calculations in SCMFT mainly relate to the assemble averages of chain conformations, for which a portion of conformations can be performed parallel on different computing cores using a message-passing interface (MPI).

Sign in / Sign up

Export Citation Format

Share Document