A lattice model for a polymer chain in dilute solution

Potential Energy of a Gold Atom Adsorbed on Stepped Surface of Sodium Chloride Crystal

“…Moreover, machine studies strongly suggest that y = y f -1.2 for a three-dimensional walk on a regular lattice. Recently, Morita (1976) has analytically investigated the conventional self-avoiding walk for a class of generalised Bethe lattices, obtaining the exact result y = 2. Clearly, both the dimensionality and the connectivity of the space essentially modify the asymptotic behaviour-indeed, in the asymptotic limit N + 00 the Bethe lattices become effectively of infinite dimension.…”

Thermodynamic Transitions of Antiferromagnetic Ising Model on the Fractional Multi-branched Husimi Recursive Lattice

“…The recursive lattice is believed to be a reliable approximation of regular lattices because of the same coordination numbers. In a recursive lattice the particles fixed on sites have the same interaction environment as in the regular lattices, while the fractal structure avoids the sharing of interactions on neighbor units and consequently provides the advantage of the exact calculation 3,4 Among the works on Husimi lattice, the thermodynamics of Ising model on Husimi is a vigorously interest-drawing subject [5][6][7][8][9][10][11][12][13][14] . Previous works on exact calculation of Ising model on Husimi successfully presented comparable results with other techniques, e.g.…”

The first order phase transitions in the multisite spin-1/2 model on a pure Husimi lattice

“…During last few decades, a lot of classical Ising and Ising-like models have been investigated on various pure Husimi trees and lattices [1][2][3] (see the next section for their exact definition) which play important role in describing many interesting physical systems such as amorphous solids [4], spin liquids [5], the Ising spin glasses [6][7][8][9], various polymer models [10][11][12][13][14][15], abelian sandpiles [16,17], lattice gases [18], and 3 He systems [19]. At the same time, various models on pure Husimi trees and lattices are especially useful for investigation of physical systems in which multisite interactions play important role, i.e., for investigating such systems as, e.g., binary alloys, rare gases, lipid bilayers [20], or spin glasses [21].…”