A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials

Details A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials

2001-12-03

arxiv.org/abs/cond-mat/0112026v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, no figures, submitted to J Phys A: Math Gen

Scientific paper

10.1088/0305-4470/35/10/303

We rigorously prove that a wide class of one-dimensional growth models with onsite periodic potential, such as the discrete sine-Gordon model, have no phase transition at any temperature $T>0$. The proof relies on the spectral analysis of the transfer operator associated to the models. We show that this operator is Hilbert-Schmidt and that its maximum eigenvalue is an analytic function of temperature.

Affiliated with

Also associated with

No associations

Rating

A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials 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 A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-234892