2,393 research outputs found
Transfer matrix solution of the Wako-Sait\^o-Mu\~noz-Eaton model augmented by arbitrary short range interactions
The Wako-Sait{\^o}-Mu\~noz-Eaton (WSME) model, initially introduced in the
theory of protein folding, has also been used in modeling the RNA folding and
some epitaxial phenomena. The advantage of this model is that it admits exact
solution in the general inhomogeneous case (Bruscolini and Pelizzola, 2002)
which facilitates the study of realistic systems. However, a shortcoming of the
model is that it accounts only for interactions within continuous stretches of
native bonds or atomic chains while neglecting interstretch (interchain)
interactions. But due to the biopolymer (atomic chain) flexibility, the
monomers (atoms) separated by several non-native bonds along the sequence can
become closely spaced. This produces their strong interaction. The inclusion of
non-WSME interactions into the model makes the model more realistic and
improves its performance. In this study we add arbitrary interactions of finite
range and solve the new model by means of the transfer matrix technique. We can
therefore exactly account for the interactions which in proteomics are
classified as medium- and moderately long-range ones.Comment: 15 pages, 2 figure
Universality in adsorbate ordering on nanotube surfaces
Numerically efficient transfer matrix technique for studying statistics of
coherent adsorbates on small nanotubes has been developed. In the framework of
a realistic microscopic model fitted to the data of ab initio calculations
taken from literature sources, the ordering of potassium adsorbate on (6,0)
single-walled carbon nanotube has been studied. Special attention has been
payed to the phase transition-like abrupt changes seen in the adsorption
isotherms at low temperature. It has been found that the behavior during the
transitions conforms with the universality hypothesis of the theory of critical
phenomena and is qualitatively the same as in the one dimensional Ising model.
Quantitatively the critical behavior can be fully described by two parameters.
Their qualitative connection with the properties of interphase boundaries is
suggested but further research is needed to develop a quantitative theory.Comment: 11 pages, 6 figures; some typos correcte
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