Ising Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results

dc.creatorBhattacharya, Susanta
dc.creatorPaul, Samir K.
dc.date2003-06-24
dc.date.accessioned2026-07-07T02:52:00Z
dc.date.available2026-07-07T02:52:00Z
dc.descriptionWe present a general procedure for calculating the exact partition function of an Ising model on a periodic chain in presence of magnetic field considering both open and closed boundary conditions. Using same procedure on a quasiperiodic (Fibonacci) chain we have established a recurrence relation among partition functions of different Fibonacci generations from n-th to (n+6)-th. In the large N limit we find $(2τ+ 1){F_{n+1}}={F_{n+2}}$; where $τ$ is the golden mean and $F_n$ stands for free energy/spin for the n-th generation. We have also studied chemical potential in both cases.
dc.description14 pages(LaTex),main calculation in this paper is from our previous work cond-mat/0105259 with change in title, content and references
dc.identifierhttps://arxiv.org/abs/cond-mat/0306600
dc.identifierhttp://arxiv.org/abs/cond-mat/0306600
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21681
dc.subjectStatistical Mechanics
dc.titleIsing Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results
dc.typetext

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