Symmetry-preserving mean field theory for electrostatics at interfaces

2014 ◽  
Vol 50 (92) ◽  
pp. 14397-14400 ◽  
Author(s):  
Zhonghan Hu
Keyword(s):  
Field Theory ◽  
Computer Simulations ◽  
Mean Field Theory ◽  
Mean Field ◽  
Molecular Liquids ◽  
Novel Method

A novel method is developed for complex nonuniform electrostatics in computer simulations of molecular liquids at interfaces.

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.

THE COMPLEX NETWORKS WITH RANDOM INITIALIZING AND PREFERENTIAL LINKING

2010 ◽  
Vol 24 (24) ◽  
pp. 4753-4759 ◽  
Author(s):  
TIELI SUN ◽  
JINGWEI DENG ◽  
KAIYING DENG ◽  
SHUANGLIANG TIAN
Keyword(s):  
Field Theory ◽  
Theoretical Analysis ◽  
Computer Simulations ◽  
Mean Field Theory ◽  
Mean Field ◽  
Scale Free ◽  
Proposed Model ◽  
Free Behavior ◽  
Analytical Expressions ◽  
Theoretical Results

In this paper, we first derive the analytical expressions of the degree distributions for the network with random initializing attractiveness and preferential linking by using the approach of mean-field theory. Then we discuss the justification of the scale-free behavior and give a remark about the proposed model. Finally, a series of theoretical analysis and numerical simulations for the network model are conducted. The computer simulations and the theoretical results are consistent, and display the effectiveness of the 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
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