Biomedical subjects

Deok-Sun Lee

Publications and source records attributed to Deok-Sun Lee.

3 recordsLinked to original sources

PubMed2005

Distribution of extremes in the fluctuations of two-dimensional equilibrium interfaces.

We investigate the statistics of the maximal fluctuation of two-dimensional Gaussian interfaces. Its relation to the entropic repulsion between rigid walls and a confined interface is used to derive the average maximal [EQUATION: SEE TEXT]and the asymptotic behavior of the whole distribution for [EQUATION: SEE TEXT] for m finite with N2 and K the interface size and tension, respectively. The standardized form of P(m) does not depend on N or K, but shows a good agreement with Gumbel's first asymptote distribution with a particular noninteger parameter. The effects of the correlations among individual fluctuations on the extreme value statistics are discussed in our findings.

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PubMed2005

Synchronization transition in scale-free networks: clusters of synchrony.

We study the synchronization transition in scale-free networks that display power-law asymptotic behaviors in their degree distributions. The critical coupling strength and the order-parameter critical exponent derived by the mean-field approach depend on the degree exponent lambda, which implies a close connection between structural organization and the emergence of dynamical order in complex systems. We also derive the finite-size scaling behavior of the order parameter, finding that the giant cluster of synchronized nodes is formed in different ways between scale-free networks with 2 < lambda < 3 and those with lambda > 3.

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PubMed2002

Two-dimensional equilibrium surface roughness for dissociative dimer dynamics.

Equilibrium crystal surfaces, constrained to equilibrate by means of dissociative dimer deposition and evaporation, have anomalous global surface roughness. We generalize earlier results for one-dimensional interfaces to two dimensions. The global surface width scales with surface size L as W2 approximately equals ln[L/(ln L)(1/4)] instead of the conventional form W2 approximately equal to ln L. The surface roughening transition does not change in nature, but its location is subject to a large and slowly varying logarithmic finite-size-scaling shift.

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