A Monte Carlo procedure for the determination of the relaxation time constant of spin systems

Kokten, H
Yalabik, M C
A new Monte Carlo method for the determination of relaxation time constants of classical spin systems is presented. The method is applied to a dynamical finite-size scaling calculatio
Journal of Physics A: Mathematical and General


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A new integrable sixth-order nonlinear wave equation is discovered by means of the Painleve analysis, which is equivalent to the Korteweg-de Vries equation with a source. A Lax representation and an auto-Backlund transformation are found for the new equation, and its traveling wave solutions and generalized symmetries are studied. (C) 2008 American Institute of Physics.
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Utilizing an appropriate ansatz to the wave function, we reproduce the exact bound-state solutions of the radial Schrodinger equation to various exactly solvable sextic an-harmonic oscillator and confining perturbed Coulomb models in D-dimensions. We show that the perturbed Coulomb problem with eigenvalue E can be transformed to a sextic anharmonic oscillator problem with eigenvalue P. We also check the explicit relevance of these two related problems in higher-space dimensions. It is shown that exact solut...
An elementary derivation of the quantum virial theorem from Hellmann-Feynman theorem
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This study presents a modular sparse grad-div stabilization method for solving the Boussinesq equations. Unlike the usual grad-div stabilization which produces fully coupled block matrices, the proposed stabilization method produces block upper triangular matrices. Thus, the proposed method is more attractive in terms of both its computational cost and solution accuracy. We provide unconditional stability results for velocity and temperature. Two numerical experiments are performed to demonstrate the effici...
Citation Formats
H. Kokten and M. C. Yalabik, “A Monte Carlo procedure for the determination of the relaxation time constant of spin systems,” Journal of Physics A: Mathematical and General, pp. 4519–4523, 1990, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51389.