Finite-size effects on the static structure factor of two-dimensional crystals

1982 ◽  
Vol 25 (4) ◽  
pp. 2450-2462 ◽  
Author(s):  
F. Weling ◽  
A. Griffin
Keyword(s):  
Structure Factor ◽  
Size Effects ◽  
Finite Size ◽  
Static Structure Factor ◽  
Two Dimensional ◽  
Static Structure ◽  
Finite Size Effects

Finite size effects in the static structure factor of dusty plasmas

2014 ◽  
Vol 21 (7) ◽  
pp. 073704 ◽  
Author(s):  
A. E. Davletov ◽  
L. T. Yerimbetova ◽  
Ye. S. Mukhametkarimov ◽  
A. K. Ospanova
Keyword(s):  
Structure Factor ◽  
Size Effects ◽  
Finite Size ◽  
Dusty Plasmas ◽  
Static Structure Factor ◽  
Static Structure ◽  
Finite Size Effects

Coupling-anisotropy and finite-size effects in interfacial tension of the two-dimensional Ising model

1999 ◽  
Vol 32 (26) ◽  
pp. 4897-4906 ◽  
Author(s):  
Ming-Chya Wu ◽  
Ming-Chang Huang ◽  
Yu-Pin Luo ◽  
Tsong-Ming Liaw
Keyword(s):  
Ising Model ◽  
Interfacial Tension ◽  
Size Effects ◽  
Finite Size ◽  
Two Dimensional ◽  
Finite Size Effects

SCALING AND FINITE-SIZE EFFECTS FOR THE CRITICAL BACKBONE

Fractals ◽  
2003 ◽  
Vol 11 (supp01) ◽  
pp. 19-27 ◽  
Author(s):  
M. BARTHELEMY ◽  
S. V. BULDYREV ◽  
S. HAVLIN ◽  
H. E. STANLEY
Keyword(s):  
Fractal Dimension ◽  
Probability Distribution ◽  
Size Effects ◽  
Infinite System ◽  
Finite Size ◽  
Multifractal Spectrum ◽  
System Size ◽  
Two Dimensional ◽  
High Current ◽  
Finite Size Effects

In a first part, we study the backbone connecting two given sites of a two-dimensional lattice separated by an arbitrary distance r in a system of size L. We find a scaling form for the average backbone mass and we also propose a scaling form for the probability distribution P(MB) of backbone mass for a given r. For r ≈ L, P(MB) is peaked around LdB, whereas for r ≪ L, P(MB) decreases as a power law, [Formula: see text], with τB ≃ 1.20 ± 0.03. The exponents ψ and τB satisfy the relation ψ = dB(τB - 1), and ψ is the codimension of the backbone, ψ = d - dB. In a second part, we study the multifractal spectrum of the current in the two-dimensional random resistor network at the percolation threshold. Our numerical results suggest that in the infinite system limit, the probability distribution behaves for small i as P(i) ~ 1/i where i is the current. As a consequence, the moments of i of order q ≤ qc = 0 diverge with system size, and all sets of bonds with current values below the most probable one have the fractal dimension of the backbone. Hence we hypothesize that the backbone can be described in terms of only (i) blobs of fractal dimension dB and (ii) high current carrying bonds of fractal dimension going from d red to dB, where d red is the fractal dimension of the red bonds carrying the maximal current.

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