Finite-size scaling behavior in trapped systems

Details Finite-size scaling behavior in trapped systems Finite-size scaling behavior in trapped systems

2010-03-04

arxiv.org/abs/1003.1075v2

Physical Review E 81, 051122 (2010)

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 8 pages, 7 .eps figures (published version

Scientific paper

10.1103/PhysRevE.81.051122

Numerical transfer-matrix methods are applied to two-dimensional Ising spin systems, in presence of a confining magnetic field which varies with distance $|{\vec x}|$ to a "trap center", proportionally to $(|{\vec x}|/\ell)^p$, $p>0$. On a strip geometry, the competition between the "trap size" $\ell$ and the strip width, $L$, is analysed in the context of a generalized finite-size scaling {\em ansatz}. In the low-field regime $\ell \gg L$, we use conformal-invariance concepts in conjunction with a linear-response approach to derive the appropriate ($p$-dependent) limit of the theory, which agrees very well with numerical results for magnetization profiles. For high fields $\ell \lesssim L$, correlation-length scaling data broadly confirms an existing picture of $p$-dependent characteristic exponents. Standard spin-1/2 and spin-1 Ising systems are considered, as well as the Blume-Capel model.

Affiliated with

Also associated with

No associations

Rating

Finite-size scaling behavior in trapped systems 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 Finite-size scaling behavior in trapped systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-size scaling behavior in trapped systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560392