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Jin Min Kim

Publications and source records attributed to Jin Min Kim.

4 recordsLinked to original sources

Depinning transition of the Mullins-Herring equation with an external driving force and quenched random disorder.

We study the depinning transition of the quenched Mullins-Herring equation by direct integration method. At critical force Fc, the average surface velocity v(t) follows a power-law behavior v(t) approximately t-delta as a function of time t with delta=0.160(5). The surface width has a scaling behavior with the roughness exponent alpha=1.50(6) and the growth exponent beta=0.841(5). Above the critical force, the steady state velocity v2 follows vs approximately (F - Fc)theta with theta=0.289(8). Finite size scalings of the velocity are also discussed.

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Cyclic topology in complex networks.

We introduce a cyclic coefficient R which characterizes the degree of circulation in complex networks. If a network has a perfect treelike structure, then R becomes zero. The larger value of R represents that the network has more cyclic structure. We measure both the cyclic coefficients and the distributions of local cyclic coefficients for various networks and discuss the cyclic structures of them.

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Scaling function for surface width for free boundary conditions.

We study the restricted curvature model with both periodic and free boundary conditions and show that the scaling function of the surface width depends on the type of boundary conditions. When the free boundary condition is applied, the surface width shows a new dynamic scaling whose asymptotic behavior is different from the usual scaling behavior of the self-affine surfaces. We propose a generalized scaling function for the surface width for free boundary conditions and introduce a normalized surface width to clarify the origin of the superrough phenomena of the model.

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Restricted curvature model with suppression of extremal height.

A discrete growth model with a restricted curvature constraint is investigated by measuring both the surface width and the height difference correlation function. In our model, where an extremal height is suppressed, the surface width W shows the roughness exponent alpha approximately 0.561 and the dynamics exponent z approximately 1.69 in one substrate dimension. However the correlation function has an unusual scaling behavior and produces different wandering exponent alpha(') approximately 1.33 and its dynamic exponent z(') approximately 4. The discrepancy is due to the fact that the correlation length increases with a power law t(1/z(')) until it reaches the value proportional to Ldelta at time t(s) approximately L(z), where L is the system size and delta is the "window exponent" satisfying the relation delta=z/z(')=alpha/alpha('). delta is a new exponent to characterize the window size of the system.

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