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
dc.contributor.author | DAVID, MARGARET JOHN | |
dc.date.accessioned | 2014-02-10T09:23:31Z | |
dc.date.available | 2014-02-10T09:23:31Z | |
dc.date.issued | 2013-01 | |
dc.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 | en_US |
dc.description.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. | en_US |
dc.identifier.uri | https://kubanni.abu.edu.ng/handle/123456789/761 | |
dc.language.iso | en | en_US |
dc.subject | MAGNETIC | en_US |
dc.subject | FIELD | en_US |
dc.subject | EFFECT | en_US |
dc.subject | SPIN | en_US |
dc.subject | DISTRIBUTION | en_US |
dc.subject | FERROMAGNETIC | en_US |
dc.subject | MATERIALS | en_US |
dc.subject | MONTE | en_US |
dc.subject | CARLO | en_US |
dc.subject | SIMULATION | en_US |
dc.subject | TWO - DIMENSIONAL | en_US |
dc.subject | ISING | en_US |
dc.subject | MODEL | en_US |
dc.title | MAGNETIC FIELD EFFECT OF SPIN DISTRIBUTION IN FERROMAGNETIC MATERIALS USING MONTE CARLO SIMULATION OF TWO - DIMENSIONAL ISING MODEL | en_US |
dc.type | Thesis | en_US |
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