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- W1966389369 abstract "The spatial correlation functions of a director field are obtained analytically in a two-dimensional XY system consisting of randomly distributed topological defects. For a system containing point defects with the strength (the winding number) S , the correlation function is expressed as C ( r )= exp[-ρ r 2 { a +(1/2)·π S 2 log( R / r )}] for a large R , where R , ρ and a are the system size, the defect density and a constant, respectively. For a system with randomly distributed defect pairs of ± S separated by the distance l 0 , the correlation function behaves at large distance as a power law, i.e., C ( r ) ∝ r -πρ p µ 2 , where ρ p and µ are the density of defect pairs and the dipole moment defined as µ= l 0 S , respectively." @default.
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- W1966389369 date "1992-01-15" @default.
- W1966389369 modified "2023-10-17" @default.
- W1966389369 title "Spatial Correlation Functions in Two-Dimensional XY System Consisting of Randomly Distributed Topological Defects" @default.
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- W1966389369 doi "https://doi.org/10.1143/jpsj.61.1" @default.
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