Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-04-22
Physics
Condensed Matter
Statistical Mechanics
23 pages, 5 figures, to appear in The Journal of Chemical Physics
Scientific paper
10.1063/1.2927877
The critical behavior of long straight rigid rods of length $k$ ($k$-mers) on square and triangular lattices at intermediate density has been studied. A nematic phase, characterized by a big domain of parallel $k$-mers, was found. This ordered phase is separated from the isotropic state by a continuous transition occurring at a intermediate density $\theta_c$. Two analytical techniques were combined with Monte Carlo simulations to predict the dependence of $\theta_c$ on $k$, being $\theta_c(k) \propto k^{-1}$. The first involves simple geometrical arguments, while the second is based on entropy considerations. Our analysis allowed us also to determine the minimum value of $k$ ($k_{min}=7$), which allows the formation of a nematic phase on a triangular lattice.
Linares Daniel H.
Matoz-Fernandez D. A.
Ramirez-Pastor Antonio José
No associations
LandOfFree
Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-104380