Rotational Brownian Motion in Axially Symmetric Potentials: Matrix Continued Fraction Solutions

2004 ◽  
pp. 397-467
Keyword(s):  
Brownian Motion ◽  
Continued Fraction ◽  
Axially Symmetric ◽  
Matrix Continued Fraction ◽  
Rotational Brownian Motion

scholarly journals Rotational Brownian motion of an asymmetric top

1979 ◽  
Vol 19 (2) ◽  
pp. 907-919 ◽  
Author(s):  
G. W. Ford ◽  
J. T. Lewis ◽  
J. McConnell
Keyword(s):  
Brownian Motion ◽  
Asymmetric Top ◽  
Rotational Brownian Motion

LATTICE DYNAMICS OF AN F-TYPE ICOSAHEDRAL QUASICRYSTAL

1993 ◽  
Vol 07 (06n07) ◽  
pp. 1487-1504 ◽  
Author(s):  
G. KASNER ◽  
H. BÖTTGER
Keyword(s):  
Lattice Dynamics ◽  
Continued Fraction ◽  
Pair Interaction ◽  
Icosahedral Quasicrystal ◽  
Cluster Approach ◽  
Vibrational States ◽  
Lennard Jones ◽  
Cluster Calculations ◽  
Face Centered ◽  
Matrix Continued Fraction

By using a matrix-continued fraction approach we calculate the density of vibrational states (DOS) of a tiling model based on the 6D face centered lattice. Parameters of the Lennard-Jones pair interaction are obtained from relaxation calculations. With a ternary decoration the tiling was found to be stable. The DOS was approximated by weighting the local DOS (LDOS) of the allowed vertex configurations by their relative frequencies in the infinite tiling. These frequencies were obtained by using extended deflation rules. Results of this approach are compared to exact finite cluster calculations and an embedded cluster approach. We find the DOS to consist of a single band (in our resolution) and a rich structure at higher frequencies.

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