Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(8)
Critical Phenomena
Finite Size Scaling
Probability Density
Probability Density Function
Scale Function
Scaling Exponent
Thermodynamic Limit
Power Law
Subscribe
Academic
Publications
On the scaling of probability density functions with apparentpowerlaw exponents less than unity
On the scaling of probability density functions with apparentpowerlaw exponents less than unity,10.1140/epjb/e2008001732,European Physical Journal
Edit
On the scaling of probability density functions with apparentpowerlaw exponents less than unity
BibTex

RIS

RefWorks
Download
Kim Christensen
,
Nadia Farid
,
Gunnar Pruessner
,
Matthew Stapleton
. We derive general properties of the finitesize scaling of
probability density
functions and show that when the apparent exponent of a
probability density
is less than 1, the associated finitesize scaling ansatz has a
scaling exponent
τ equal to 1, provided that the fraction of events in the universal scaling part of the
probability density function
is nonvanishing in the thermodynamic limit. We find the general result that τ≥1 and . Moreover, we show that if the scaling function approaches a nonzero constant for small arguments, 0$" align="middle" border="0"> , then . However, if the scaling function vanishes for small arguments, , then τ= 1, again assuming a nonvanishing fraction of universal events. Finally, we apply the formalism developed to examples from the literature, including some where misunderstandings of the theory of scaling have led to erroneous conclusions.
Journal:
European Physical Journal B  EUR PHYS J B
, vol. 62, no. 3, pp. 331336, 2008
DOI:
10.1140/epjb/e2008001732
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.springerlink.com
)
(
www.springerlink.com
)
(
adsabs.harvard.edu
)
(
hdl.handle.net
)
(
www.springerlink.com
)
(
arxiv.org
)
(
www.springerlink.com
)
More »
References
(16)
Introduction to Phase Transitions and Critical Phenomena
(
Citations: 1119
)
H. E. Stanley
Published in 1971.
Introduction to Percolation Theory
(
Citations: 1742
)
D. Stauffer
,
A. Aharony
Published in 1994.
Nonequilibrium Phase Transitions in Lattice Models
(
Citations: 577
)
Joaquin Marro
,
Ronald Dickman
Published in 1999.
Unified Scaling Law for Earthquakes
(
Citations: 12
)
Per Bak
,
Kim Christensen
,
Leon Danon
,
Tim Scanlon
Journal:
Physical Review Letters  PHYS REV LETT
, vol. 88, no. 17, 2002
Corrections to Scaling Laws
(
Citations: 79
)
Franz J. Wegner
Journal:
Physical Review B  PHYS REV B
, vol. 5, no. 11, pp. 45294536, 1972