Finite-size effects on semi-directed Barabási–Albert networks

2016 ◽  
Vol 27 (09) ◽  
pp. 1650109 ◽  
Author(s):  
M. A. Radwan ◽  
Muneer A. Sumour ◽  
A. M. Elbitar ◽  
M. M. Shabat ◽  
F. W. S. Lima

In scale-free Barabási–Albert (BA) networks, we study the finite-size effect at different number m of neighbors. So, we investigate the effects of finite network size N for the recently developed semi-directed BA networks (SDBA1 and SDBA2) at fixed [Formula: see text]) and show and explain the gap in the distribution of the number [Formula: see text] of neighbors of the nodes i.

2011 ◽  
Vol 26 (22) ◽  
pp. 3742-3751 ◽  
Author(s):  
C. R. JAMELL ◽  
R. S. DECCA

We provide a formalism to calculate the effect of the finite size of the sample on hypothetical Yukawa-like corrections to the Newtonian gravitational potential. It is explicitly shown that finite size effect contributions are negligible when the extent of the sample is larger than the range of the Yukawa term. In particular we show that these contributions are small in the configuration of a recent experiment. In the experiment a gold coated sphere was moved across the interface between two materials with different mass densities. In view of these new experimental results, we analyze the situation when the error on the hypothetical correction could result to be significant.


Author(s):  
C. R. JAMELL ◽  
R. S. DECCA

We provide a formalism to calculate the effect of the finite size of the sample on hypothetical Yukawa-like corrections to the Newtonian gravitational potential. It is explicitly shown that finite size effect contributions are negligible when the extent of the sample is larger than the range of the Yukawa term. In particular we show that these contributions are small in the configuration of a recent experiment. In the experiment a gold coated sphere was moved across the interface between two materials with different mass densities. In view of these new experimental results, we analyze the situation when the error on the hypothetical correction could result to be significant.


2015 ◽  
Vol 110 (6) ◽  
pp. 66001 ◽  
Author(s):  
D. Torres ◽  
M. A. Di Muro ◽  
C. E. La Rocca ◽  
L. A. Braunstein

2020 ◽  
Vol 118 (2) ◽  
pp. e2013825118
Author(s):  
Matteo Serafino ◽  
Giulio Cimini ◽  
Amos Maritan ◽  
Andrea Rinaldo ◽  
Samir Suweis ◽  
...  

We analyze about 200 naturally occurring networks with distinct dynamical origins to formally test whether the commonly assumed hypothesis of an underlying scale-free structure is generally viable. This has recently been questioned on the basis of statistical testing of the validity of power law distributions of network degrees. Specifically, we analyze by finite size scaling analysis the datasets of real networks to check whether the purported departures from power law behavior are due to the finiteness of sample size. We find that a large number of the networks follows a finite size scaling hypothesis without any self-tuning. This is the case of biological protein interaction networks, technological computer and hyperlink networks, and informational networks in general. Marked deviations appear in other cases, especially involving infrastructure and transportation but also in social networks. We conclude that underlying scale invariance properties of many naturally occurring networks are extant features often clouded by finite size effects due to the nature of the sample data.


2009 ◽  
Vol 105 (9) ◽  
pp. 094307 ◽  
Author(s):  
S. M. Binz ◽  
M. Hupalo ◽  
M. C. Tringides

2004 ◽  
Vol 38 (2) ◽  
pp. 205-209 ◽  
Author(s):  
M. Bogu�� ◽  
R. Pastor-Satorras ◽  
A. Vespignani

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

2009 ◽  
Vol 2009 (02) ◽  
pp. P02063 ◽  
Author(s):  
Bernard Nienhuis ◽  
Massimo Campostrini ◽  
Pasquale Calabrese

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