Finite-size effects on long-range correlations: Implications for analyzing DNA sequences

1993 ◽  
Vol 47 (5) ◽  
pp. 3730-3733 ◽  
Author(s):  
C.-K. Peng ◽  
S. V. Buldyrev ◽  
A. L. Goldberger ◽  
S. Havlin ◽  
M. Simons ◽  
...  
Keyword(s):  
Long Range ◽  
Dna Sequences ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Long Range Correlations

scholarly journals Patterns and Long Range Correlations in Idealized Granular Flows

1997 ◽  
Vol 08 (04) ◽  
pp. 953-965 ◽  
Author(s):  
J. A. G. Orza ◽  
R. Brito ◽  
T. P. C. van Noije ◽  
M. H. Ernst
Keyword(s):  
Long Range ◽  
Size Effects ◽  
Hard Spheres ◽  
Finite Size ◽  
System Size ◽  
Spatial Correlations ◽  
Finite Size Effects ◽  
Long Range Correlations ◽  
Intrinsic Length ◽  
Dynamics Simulations

An initially homogeneous freely evolving fluid of inelastic hard spheres develops inhomogeneities in the flow field u(r, t) (vortices) and in the density field n (r, t)(clusters), driven by unstable fluctuations, δa = {δn, δu}. Their spatial correlations, <δa(r, t)δa(r′,t)>, as measured in molecular dynamics simulations, exhibit long range correlations; the mean vortex diameter grows as [Formula: see text]; there occur transitions to macroscopic shearing states, etc. The Cahn–Hilliard theory of spinodal decomposition offers a qualitative understanding and quantitative estimates of the observed phenomena. When intrinsic length scales are of the order of the system size, effects of physical boundaries and periodic boundaries (finite size effects in simulations) are important.

scholarly journals Finite-size effects in disordered λφ4 model

2016 ◽  
Vol 30 (30) ◽  
pp. 1650207 ◽  
Author(s):  
R. Acosta Diaz ◽  
N. F. Svaiter
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Power Law ◽  
Order Phase Transition ◽  
Size Effects ◽  
Finite Size ◽  
Second Order ◽  
Finite Size Effects ◽  
Power Law Decay ◽  
Second Order Phase Transition

We discuss finite-size effects in one disordered [Formula: see text] model defined in a [Formula: see text]-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a quenched random field. In order to obtain the average value of the free energy of the system, we use the replica method. We first discuss finite-size effects in the one-loop approximation in [Formula: see text] and [Formula: see text]. We show that in both cases, there is a critical length where the system develop a second-order phase transition, when the system presents long-range correlations with power-law decay. Next, we improve the above result studying the gap equation for the size-dependent squared mass, using the composite field operator method. We obtain again that the system present a second-order phase transition with long-range correlation with power-law decay.

Lyapunov Instability and Finite Size Effects in a System with Long-Range Forces

1998 ◽  
Vol 80 (4) ◽  
pp. 692-695 ◽  
Author(s):  
Vito Latora ◽  
Andrea Rapisarda ◽  
Stefano Ruffo
Keyword(s):  
Long Range ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Lyapunov Instability

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
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