Difference between revisions of "Anjan Prasad Gantapara"
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== Research == | == Research == | ||
| − | + | A high precision multi-canonical Monte Carlo method is developed. This multi-canonical method is employed for the computation of exact order parameter distributions for the two dimensional Ising Model. The extraction of universal behavior from finite size functions still remains of interest. Various boundary conditions have been taken into account.The order parameter distributions for finite lattice sizes up to 128 at temperatures above, below, and at the critical point are computed. All the results are fully converged with respect to the number of Monte Carlo steps. For critical systems the approach to the Gaussian behavior is generally slow. For large system sizes the fat tails observed | |
| − | |||
| − | dimensional Ising Model | ||
| − | lattice sizes up to | ||
| − | point. All the results are fully converged with respect to the number of | ||
| − | Monte Carlo steps. For critical systems the approach to the Gaussian | ||
| − | behavior is generally slow. For large system sizes the fat tails observed | ||
in Ref [1] are found to appear also for temperatures approaching critical | in Ref [1] are found to appear also for temperatures approaching critical | ||
point from below. The effect of the boundary conditions at criticality in | point from below. The effect of the boundary conditions at criticality in | ||
| − | the far tail regime are studied with high precision. | + | the far tail regime are studied with high precision. Currently we are marching towards lattice size 256. |
| − | + | [1]Hilfer R, Biswal B, Mattutis H G, and Janke W Phys. Rev. E | |
| − | + | 68,046123 (2003). | |
| − | |||
Revision as of 11:08, 4 May 2009
<setdata> name=Gantapara, Anjan Prasad title= status=PhD student phone=67606 room=204 email=Anjan.Gantapara image=DSC01212.JPG </setdata>
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Research
A high precision multi-canonical Monte Carlo method is developed. This multi-canonical method is employed for the computation of exact order parameter distributions for the two dimensional Ising Model. The extraction of universal behavior from finite size functions still remains of interest. Various boundary conditions have been taken into account.The order parameter distributions for finite lattice sizes up to 128 at temperatures above, below, and at the critical point are computed. All the results are fully converged with respect to the number of Monte Carlo steps. For critical systems the approach to the Gaussian behavior is generally slow. For large system sizes the fat tails observed in Ref [1] are found to appear also for temperatures approaching critical point from below. The effect of the boundary conditions at criticality in the far tail regime are studied with high precision. Currently we are marching towards lattice size 256. [1]Hilfer R, Biswal B, Mattutis H G, and Janke W Phys. Rev. E 68,046123 (2003).