On generalized scaling laws with continuously varying exponents

Details On generalized scaling laws with continuously varying exponents On generalized scaling laws with continuously varying exponents

2002-08-14

arxiv.org/abs/cond-mat/0208277v2

Journal of physics A, Volume 35, Number 49, P 10531, 2002

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0305-4470/35/49/303

Many physical systems share the property of scale invariance. Most of them show ordinary power-law scaling, where quantities can be expressed as a leading power law times a scaling function which depends on scaling-invariant ratios of the parameters. However, some systems do not obey power-law scaling, instead there is numerical evidence for a logarithmic scaling form, in which the scaling function depends on ratios of the logarithms of the parameters. Based on previous ideas by C. Tang we propose that this type of logarithmic scaling can be explained by a concept of local scaling invariance with continuously varying exponents. The functional dependence of the exponents is constrained by a homomorphism, which can be expressed as a set of partial differential equations. Solving these equations we obtain logarithmic scaling as a special case. The other solutions lead to scaling forms where logarithmic and power-law scaling are mixed.

Affiliated with

Also associated with

No associations

Rating

On generalized scaling laws with continuously varying exponents does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On generalized scaling laws with continuously varying exponents, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On generalized scaling laws with continuously varying exponents will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-290903