Jürgen F. Stilck

Nematic-disordered phase transition in systems of long rigid rods on two-dimensional lattices

We study the phase transition from a nematic phase to a high-density disordered phase in systems of long rigid rods of length

Solution of an associating lattice-gas model with density anomaly on a Husimi lattice.

k

Pressure exerted by a grafted polymer on the limiting line of a semi-infinite square lattice

on the square and triangular lattices. We use an efficient Monte Carlo scheme that partly overcomes the problem of very large relaxation times of nearly jammed configurations. The existence of a continuous transition is observed on both lattices for

A Monte Carlo algorithm for studying phase transition in systems of hard rigid rods

k=7

Polydispersed rods on the square lattice.

. We study correlations in the high-density disordered phase, and we find evidence of a crossover length scale

Bethe lattice solution of a model of SAW's with up to three monomers per site and no restriction

\xi^* \gtrsim 1400

Grand-canonical and canonical solution of self-avoiding walks with up to three monomers per site on the Bethe lattice

, on the square lattice. For distances smaller than

Pressure exerted by a grafted polymer: Bethe lattice solution

\xi^*

Phase diagram of a bidispersed hard-rod lattice gas in two dimensions

, correlations appear to decay algebraically. Our best estimates of the critical exponents differ from those of the Ising model, but we cannot rule out a crossover to Ising universality class at length scales

Self-avoiding walks on a bilayer Bethe lattice

\gg \xi^*