MAGNETIC FIELD EFFECT OF SPIN DISTRIBUTION IN FERROMAGNETIC MATERIALS USING MONTE CARLO SIMULATION OF TWO - DIMENSIONAL ISING MODEL
MAGNETIC FIELD EFFECT OF SPIN DISTRIBUTION IN FERROMAGNETIC MATERIALS USING MONTE CARLO SIMULATION OF TWO - DIMENSIONAL ISING MODEL
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Date
2013-01
Authors
DAVID, MARGARET JOHN
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Abstract
This work discussed the 2 - D Ising Model as a magnetic model in an applied magnetic
field under a range of Thermalization sweep. The Monte Carlo Simulation produces the
effect of magnetic properties on spin distribution of a ferromagnetic coupling. The
essence is to accurately determine the behavior of the two spin state under magnetic
influence in consideration of spin energy, spin magnetization, susceptibility and
specific heat.The simulation validates the known result obtained by a rigorous
statistical computation which reduces free energy of the system and approximated the
values of the coefficient for partition function.The low-temperature series expansion for
the partition function of the two-dimensional Ising model was determined exactly for
finite lattices using Monte Carlo Simulation. The exact distribution function for the
energy with its respective magnetization and specific heat was also determined from the
coefficients of the partition function. This provides an exact solution with which one
can compare energy histograms determined by the Onsager’s solution. This solution
will be useful for detailed studies of statistical and systematic errors in histogram
reweighting.
Description
A THESIS SUBMITTED TO THE
POST GRADUATE SCHOOL,
AHMADU BELLO UNIVERSITY, ZARIA
NIGERIA
IN PARTIAL FULFILLMENT FOR THE AWARD
OF MASTER OF SCIENCE IN
PHYSICS
DEPARTMENT OF PHYSICS
AHMADU BELLO UNIVERSITY, ZARIA
NIGERIA
Keywords
MAGNETIC, FIELD, EFFECT, SPIN, DISTRIBUTION, FERROMAGNETIC, MATERIALS, MONTE, CARLO, SIMULATION, TWO - DIMENSIONAL, ISING, MODEL