Power-law ansatz in complex systems: Excessive loss of information

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sun-Ting TsaiTzay-Ming Hong

Abstract

The ubiquity of power-law relations in empirical data displays physicists' love of simple laws and uncovering common causes among seemingly unrelated phenomena. However, many reported power laws lack statistical support and mechanistic backings, not to mention discrepancies with real data are often explained away as corrections due to finite size or other variables. We propose a simple experiment and rigorous statistical procedures to look into these issues. Making use of the fact that the occurrence rate and pulse intensity of crumple sound obey a power law with an exponent that varies with material, we simulate a complex system with two driving mechanisms by crumpling two different sheets together. The probability function of the crumple sound is found to transit from two power-law terms to a bona fide power law as compaction increases. In addition to showing the vicinity of these two distributions in the phase space, this observation nicely demonstrates the effect of interactions to bring about a subtle change in macroscopic behavior and more information may be retrieved if the data are subject to sorting. Our analyses are based on the Akaike information criterion that is a direct measurement of information loss and emphasiz...Continue Reading

References

Jun 15, 1991·Physical Review. a·C h LiuS R Nagel
Feb 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E M Kramer, A E Lobkovsky
Jul 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P A Houle, J P Sethna
Jul 27, 1987·Physical Review Letters·P BakK Wiesenfeld
Jan 2, 1989·Physical Review Letters·H M JaegerS R Nagel
Mar 22, 2001·Nature·J P SethnaC R Myers
Oct 19, 2001·Journal of Neurology, Neurosurgery, and Psychiatry·F ConciP Castiglioni
Jan 10, 2003·Nature·Vasiliki PlerouH Eugene Stanley
May 16, 2003·Nature·Xavier GabaixH Eugene Stanley
Jun 27, 2003·Neuropsychopharmacology : Official Publication of the American College of Neuropsychopharmacology·Thomas PenzelClaus Vogelmeier
Feb 9, 2005·Physical Review Letters·Victor M EguíluzA Vania Apkarian
Sep 16, 2005·BioEssays : News and Reviews in Molecular, Cellular and Developmental Biology·Evelyn Fox Keller
Jul 1, 1949·The Journal of General Psychology·G K YACORZYNSKI
Feb 11, 2012·Science·Michael P H Stumpf, Mason A Porter
May 3, 2014·Trends in Cognitive Sciences·Biyu J He
May 9, 2014·Ecology·Ken AhoTeri Peterson
Jun 24, 2014·Scientific Reports·Mikhail Prokopenko, Joseph T Lizier
Jul 9, 2014·Proceedings of the National Academy of Sciences of the United States of America·James P GleesonFelix Reed-Tsochas

❮ Previous
Next ❯

Citations

Feb 6, 2016·Physical Review Letters·Sun-Ting TsaiTzay-Ming Hong
Jun 25, 2020·Physical Review. E·Li-Min WangTzay-Ming Hong
Feb 12, 2021·Scientific Reports·Ping-Rui TsaiTeng-Yi Huang

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review Letters
Y C LinT M Hong
Proceedings of the National Academy of Sciences of the United States of America
H E StanleyM A Salinger
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
V PalchykovR Kenna
© 2022 Meta ULC. All rights reserved