Journal of Statistical Mechanics: Theory and Experiment
Volume 2009
February 2009
Create an alert
RSS this journal
Iwan Jensen J. Stat. Mech. (2009) P02065 doi:10.1088/1742-5468/2009/02/P02065
A parallel algorithm for the enumeration of benzenoid hydrocarbons
Iwan Jensen
Show affiliations
| Figure 1. A snapshot of the boundary line (dashed line) during the transfer-matrix calculation on the brickwork lattice. Benzenoids are enumerated by successive moves of the kink in the boundary line, as exemplified by the position given by the dotted line, so that two vertices at a time are added to the rectangle. To the left of the boundary line we have drawn (shaded cells) an example of a partially completed benzenoid. |
| Figure 2. The two different update cases encountered in the move of the TM boundary line. Red (blue) edges indicate the kink edges before (after) the move. |
| Figure 3. The possible updates in Case 0 when the input state (leftmost column) has zero, one or two occupied edges. The rightmost column shows the possible outputs. |
| Figure 4. Similar to figure 3 but for Case 1. |
| Figure 5. Estimates for the critical point qc (top panels) and critical exponent –1–θ (bottom panels) versus the maximal size h (or number of terms) used in the differential approximant analysis. Each dot represents a data point obtained from a third-order approximant with L = 0, 2, ..., 10. The left panels show a view of most approximants while the right panels are a more detailed view at the data for high values of h. |
| Figure 6. Estimates for the leading amplitude a1 versus 1/h where h is the maximal size used in the fit to the asymptotic form (6) for the coefficients Bh. The plot in the right panel is a more detailed view of the data in the left panel. |
-
A parallel algorithm for the enumeration of benzenoid hydrocarbons
Iwan Jensen J. Stat. Mech. (2009) P02065
-
Implementation of fault-tolerant quantum logic gates via optimal control
R Nigmatullin and S G Schirmer 2009 New J. Phys. 11 105032
-
Feedback-optimized parallel tempering Monte Carlo
Helmut G Katzgraber et al J. Stat. Mech. (2006) P03018
-
Hybrid silicon lasers for optical interconnects
Daoxin Dai et al 2009 New J. Phys. 11 125016
-
Neutralinos of the U(1)-extended MSSM: from colliders to cosmology
D Jarecka et al 2008 J. Phys.: Conf. Ser. 110 072019
-
Finite size corrections to random Boolean networks
Michele Leone et al J. Stat. Mech. (2006) P12012
-
Multipolar analysis of spinning binaries
E Berti et al 2008 Class. Quantum Grav. 25 114035
-
The hydrodynamic size of polymer stabilized nanocrystals
Karl M Krueger et al 2007 Nanotechnology 18 475709
-
Dynamics of multi-player games
E Ben-Naim et al J. Stat. Mech. (2006) P07001
-
A simple one dimensional glassy Kac model
Andrea Montanari and Antoine Sinton J. Stat. Mech. (2007) P08004
Users also read
What's this?This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.
- Finding hypergraph communities: a Bayesian approach and variational solution
- Structural evolution of the Brazilian airport network
- Heat transport in stochastic energy exchange models of locally confined hard spheres
Related review articles
What's this? View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.
- The Erdős-Hajnal problem of hypergraph colouring, its generalizations, and related problems
- The effective temperature
- Unconventional phase transitions in a constrained single polymer chain