Abstract
A Monte Carlo method for simulating a grand canonical ensemble of semi-infinite lattice–gas systems is proposed. This method evaluates the largest eigenvalue of the Kramers–Wannier matrix by means of Markov chains. The method is applied to two-dimensional lattice–gas systems of dimers, trimers, and tetramers (having the length-to-width ratios of two, three, and four, respectively) as well as to molecules with equal side lengths. No first-order isotropic-to-aligned phase change is found for the rodlike systems. The tetramer system, however, indicates a probable higher-order phase change.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
