Liquid-solid transitions in the three-body hard-core model

Three–Body Configuration Space Calculations with Hard Core Potentials

We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter–particle interaction is of a hard–core nature. The proposed method is a variant of the Boundary Condition Model and it has been employed to calculate the binding energies for a system consisting of three 4He atoms. Two realistic He–He interactions of Aziz and collaborat...

Expansion dynamics in a one-dimensional hard-core boson model with three-body interactions

Using the adaptive time-dependent density matrix renormalization group method, we numerically investigate the expansion dynamics of bosons in a one-dimensional hard-core boson model with three-body interactions. It is found that the bosons expand ballistically with weak interaction, which are obtained by local density and the radius Rn. It is shown that the expansion velocity V, obtained from R...

Three-phase equilibrium in a binary hard-core lattice model.

A Three State Hard-Core Model on a Cayley Tree

We consider a nearest-neighbor hard-core model, with three states , on a homogeneous Cayley tree of order k (with k + 1 neighbors). This model arises as a simple example of a loss network with nearest-neighbor exclusion. The state σ(x) at each node x of the Cayley tree can be 0, 1 and 2. We have Poisson flow of calls of rate λ at each site x, each call has an exponential duration of mean 1. If ...

Rheology of Polymers Near Liquid-Solid Transitions

Polymeric materials near the liquid-solid transition (LST) exhibit a very distinct relaxation pattern. The reference point for analyzing these patterns is the instant of LST at which relaxation becomes self-similar over wide ranges of the relaxation time. The universality of this transition and its consequences have been explored extensively during the past decade. This study will present an ov...