scholarly journals Fractal dimension of lightning discharge

1995 ◽  
Vol 2 (2) ◽  
pp. 101-106 ◽  
Author(s):  
J. Sañudo ◽  
J. B. Gómez ◽  
F. Castaño ◽  
A. F. Pacheco
Keyword(s):  
Fractal Dimension ◽  
Stochastic Model ◽  
Size Effects ◽  
Dielectric Breakdown ◽  
Lightning Discharge ◽  
Finite Size ◽  
Finite Size Effects ◽  
3 Dimensional ◽  
Photographic Analysis

Abstract. Using a stochastic model, we simulate the process of dielectric breakdown in the atmosphere and calculate the fractal dimension of 3-dimensional lightning patterns. Finite-size effects have been studied. The projections of our patterns on vertical planes fit the experimental fractal dimension obtained from photographic analysis. This work is inspired by a previous work by A.A. Tsonis.

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.

Finite Size Effects on Electroluminescence of Nanoscale Semiconducting Polymer Heterojunctions

1997 ◽  
Vol 9 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Samson A. Jenekhe ◽  
Xuejun Zhang ◽  
X. Linda Chen ◽  
Vi-En Choong ◽  
Yongli Gao ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Semiconducting Polymer

scholarly journals Entanglement, combinatorics and finite-size effects in spin chains

2009 ◽  
Vol 2009 (02) ◽  
pp. P02063 ◽  
Author(s):  
Bernard Nienhuis ◽  
Massimo Campostrini ◽  
Pasquale Calabrese
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Spin Chains ◽  
Finite Size Effects

scholarly journals Effect of Bjerrum pairs on electrostatic properties in an electrolyte solution near charged surfaces: A mean-field approach

2021 ◽  
Author(s):  
Jun-Sik Sin
Keyword(s):  
Electrolyte Solution ◽  
Size Effects ◽  
Mean Field ◽  
Finite Size ◽  
Ion Association ◽  
Finite Size Effects ◽  
Field Approach ◽  
Electrostatic Properties ◽  
Charged Surfaces ◽  
Orientational Ordering

In this paper, we investigate the consequences of ion association, coupled with the considerations of finite size effects and orientational ordering of Bjerrum pairs as well as ions and water...

scholarly journals Finite size effects in multilayered polymer systems: Development of PET lamellae under physical confinement

Polymer ◽  
2010 ◽  
Vol 51 (20) ◽  
pp. 4530-4539 ◽  
Author(s):  
A. Flores ◽  
C. Arribas ◽  
F. Fauth ◽  
D. Khariwala ◽  
A. Hiltner ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Systems Development ◽  
Finite Size Effects ◽  
Polymer Systems
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