Diblock Polyampholytes Grafted onto Spherical Particles:  Monte Carlo Simulation and Lattice Mean-Field Theory

Langmuir ◽  
2004 ◽  
Vol 20 (23) ◽  
pp. 10351-10360 ◽  
Author(s):  
Anna Akinchina ◽  
Nadezhda P. Shusharina ◽  
Per Linse
Keyword(s):  
Field Theory ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spherical Particles

Mean field theory and monte carlo simulation of multisite adsorption

1979 ◽  
Vol 82 (2) ◽  
pp. 364-382 ◽  
Author(s):  
J.P. Van Der Eerden ◽  
G. Staikov ◽  
D. Kashchiev ◽  
W.J. Lorenz ◽  
E. Budevski
Keyword(s):  
Field Theory ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Mean Field Theory ◽  
Mean Field

scholarly journals Mean field theory and Monte Carlo simulation of phase transitions and magnetic properties of a tridimensional Fe7S8 compound

2020 ◽  
Vol 95 (4) ◽  
pp. 045803
Author(s):  
S Benyoussef ◽  
Y EL Amraoui ◽  
H Ez-Zahraouy ◽  
D Mezzane ◽  
Z Kutnjak ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Magnetic Properties ◽  
Phase Transitions ◽  
Mean Field Theory ◽  
Mean Field

EFFECTIVE MEAN-FIELD THEORY BASED ON CUMULANT EXPANSION IN TREATING CLASSICAL HEISENBERG MODEL ON STACKED TRIANGULAR LATTICE

2011 ◽  
Vol 25 (06) ◽  
pp. 833-841
Author(s):  
LIMIN YANG ◽  
SONGQING ZHAO ◽  
KUN ZHAO ◽  
YUNXIA FAN ◽  
P. LI ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Spin System ◽  
Triangular Lattice ◽  
Heisenberg Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Cumulant Expansion ◽  
The Third

An effective mean-field theory based on cumulant expansion was used to deal with antiferromagnetic Heisenberg model on planar triangular lattice. The corrections of expansion were performed to the third order. By using the equation of the mean field condition, curves of internal energy E specific heat C staggered helicity K (order parameter) and the variational ratio of staggered helicity X were obtained when the proper values of effective external field were achieved. The calculated results showed that there were two phases (which were ordered antiferromagnetic phase and the disordered phase) in the spin system. The first order critical point is -kTc/Js = 1.65, the second is -kTc/Js = 1.35 and the third is -kTc/Js = 1.29, obviously closer to that of Monte Carlo simulation order by order. And also, the analytic expansion curves derived from this method exhibited higher proximity order by order to the Monte Carlo simulation. Such results showed that this method was a useful tool to obtain thermodynamically observables of spin system.

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