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Solvable Rectangle Triangle Random Tilings
| Content Provider | CiteSeerX |
|---|---|
| Author | Gier, J. De Nienhuis, B. Nienhuis, De Gier |
| Abstract | Introduction A random tiling ensemble with a tenfold symmetric phase is defined by rectangles and isosceles triangles of sides of length 1 and l = 2 cos(3=10) = p 2 + = , where = ( p 5 + 1)=2 is the golden mean. This random tiling was used by He et al. 1 and by Nissen and Beeli 2 to model a decagonal phase in FeNb, by Oxborrow and Mihalkovic 4 to model disorder in decagonal AlPdMn and by Roth and Henley 3 to model the equilibrium structure resulting from a molecular dynamics simulation. The perfect quasiperiodic tiling corresponds to a maximum possible density of a decagonal disc packing. 5 The aim of this work is to calculate the entropy of the random tiling and its phason elastic constants. To perform this calculation we use a transfer matrix that generates the ensemble of ti |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Decagonal Phase Tenfold Symmetric Phase Random Tiling Transfer Matrix Maximum Possible Density Equilibrium Structure Molecular Dynamic Simulation Golden Mean Phason Elastic Constant Decagonal Disc Packing Isosceles Triangle Solvable Rectangle Triangle Random Tiling Decagonal Alpdmn |
| Content Type | Text |
