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Combinatorial Monte Carlo simulation...

Taha, Ahmed Gamaleldin.

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Combinatorial Monte Carlo simulations for the disordered two-dimensional dimer model.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Combinatorial Monte Carlo simulations for the disordered two-dimensional dimer model./
Author:	Taha, Ahmed Gamaleldin.
Description:	133 p.
Notes:	Adviser: Chen Zeng.
Contained By:	Dissertation Abstracts International68-12B.
Subject:	Physics, Condensed Matter. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3288839
ISBN:	9780549318378

Combinatorial Monte Carlo simulations for the disordered two-dimensional dimer model.
Taha, Ahmed Gamaleldin.

Combinatorial Monte Carlo simulations for the disordered two-dimensional dimer model. - 133 p.

Adviser: Chen Zeng.

Thesis (Ph.D.)--The George Washington University, 2007.

In this work, we study the thermodynamics of the (1+1)-dimensional planar fluxline lattice in the presence of quenched disorder using a two-dimensional random bond dimer model. We use Monte Carlo simulations to generate an exact ground state and to calculate disorder averages for thermodynamic quantities including the free energy, internal energy, entropy and heat capacity.

ISBN: 9780549318378Subjects--Topical Terms:

1018743
Physics, Condensed Matter.

Combinatorial Monte Carlo simulations for the disordered two-dimensional dimer model.
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020 $a 9780549318378
035 $a (UMI)AAI3288839
035 $a AAI3288839
040 $a UMI $c UMI
100 1 $a Taha, Ahmed Gamaleldin. $3 1266271
245 1 0 $a Combinatorial Monte Carlo simulations for the disordered two-dimensional dimer model.
300 $a 133 p.
500 $a Adviser: Chen Zeng.
500 $a Source: Dissertation Abstracts International, Volume: 68-12, Section: B, page: 8088.
502 $a Thesis (Ph.D.)--The George Washington University, 2007.
520 $a In this work, we study the thermodynamics of the (1+1)-dimensional planar fluxline lattice in the presence of quenched disorder using a two-dimensional random bond dimer model. We use Monte Carlo simulations to generate an exact ground state and to calculate disorder averages for thermodynamic quantities including the free energy, internal energy, entropy and heat capacity.
520 $a Over a wide range of temperature and disorder strength, the effective lattice stiffness and cumulants are found to excellently agree with an analytical approach based on Replica-Symmetric Bethe Ansatz (RBA) solution. The new shuffling algorithm provides an importance sampling Monte Carlo simulation to generate over a thousand thermal samples of dimer matchings on a square lattice that are guaranteed to be statistically uncorrelated.
520 $a The lowest-lying droplet excitations are investigated in depth due to both changes in disorder and changes in temperature. We calculated the energy scaling exponent for central droplets and their fractal dimension based on their circumference as their significant length scale.
520 $a We also calculated the disorder-averaged heat capacity of the fluxline lattice by averaging the droplet excitation energy for all length scales, and also from the density of states of central droplets within a two-level system approximation. Qualitative discussions of the scope and the validity of the used approximations are given with supportive quantitative explanations.
590 $a School code: 0075.
650 4 $a Physics, Condensed Matter. $3 1018743
650 4 $a Physics, Theory. $3 1019422
690 $a 0611
690 $a 0753
710 2 $a The George Washington University. $b Physics. $3 1266272
773 0 $t Dissertation Abstracts International $g 68-12B.
790 $a 0075
790 1 0 $a Balbach, John J. $e committee member
790 1 0 $a Parke, William C. $e committee member
790 1 0 $a Peng, Weiqun $e committee member
790 1 0 $a Reeves, Mark E. $e committee member
790 1 0 $a Zeng, Chen, $e advisor
790 1 0 $a Zhang, Naigong $e committee member
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3288839