Phase transition of a quasi-one-dimensional system

Abstract

The statistical mechanics of the quasi-one-dimensional system of DNA is studied with the Morse and Deng-Fan potentials for the interstrand hydrogen bonds of nucleotide pairs. The intrastrand interactions between nucleotides are characterized by a simple harmonic potential in which the coupling strength has a significant effect on the phase transition of the DNA system.

An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry

“…Moreover, the approximated l-wave bound state solutions [10] of the Schrödinger equation has been solved using the conventional approximation scheme suggested by Greene and Aldrich [11] to deal with the centrifugal barrier term l(l + 1)/r 2 , singularity at r = 0. The exact analytic expressions for matrix elements of positive integral powers of the coordinate [12] and the quasi-one-dimensional system of DNA [13] have also been studied.…”

Displacement matrix elements of Deng-Fan oscillators

“…These expressions provide a rapid way to evaluate these matrix elements which are needed to calculate intensities of overtone transitions. In addition these matrix elements are used in the models of DNA melting used by Nyeo et al (Nyeo and Yang, 2001;Nyeo and Yang, 2003) where the DF oscillator was used to treat hydrogen bonds.…”

“…The expressions are considerably more complicated than the corresponding formulas for the Morse potential. The Morse and DF potentials have also been used to model the melting of DNA (Nyeo and Yang, 2001;Nyeo and Yang, 2003). Nyeo and Yang used them to describe the hydrogen bonding between base pairs the two strands and develop a model to account for a second-order phase transition in the DNA.…”