scholarly journals Exact numerical calculation of the density of states of the fluctuating gap model

1999 ◽  
Vol 60 (23) ◽  
pp. 15488-15491 ◽  
Author(s):  
Lorenz Bartosch ◽  
Peter Kopietz
2011 ◽  
Vol 78 (1) ◽  
pp. 47-54 ◽  
Author(s):  
PETER H. YOON ◽  
JUNG JOON SEOUGH ◽  
KHAN HYUK KIM ◽  
DONG HUN LEE

AbstractIn the present paper, quasilinear development of anisotropy-driven electromagnetic instabilities is computed on the basis of recently formulated empirical wave dispersion relation and compared against exact numerical calculation based upon transcendental plasma dispersion function and exact numerical roots. Upon comparison with the exact method it is demonstrated that the empirical model provides reasonable results. The present findings may be relevant to space physical application, as the present paper provides a useful short-cut research method for self-consistent analysis of temporal development of anisotropy-driven instabilities.


1999 ◽  
Vol 13 (13) ◽  
pp. 1601-1618 ◽  
Author(s):  
MAXIM MOSTOVOY ◽  
JASPER KNOESTER

We use the optimal fluctuation method to find the density of electron states inside the pseudogap in disordered Peierls chains. The electrons are described by the one-dimensional Dirac Hamiltonian with randomly varying mass (the Fluctuating Gap Model). We establish a relation between the disorder average in this model and the quantum-mechanical average for a certain double-well problem. We show that the optimal disorder fluctuation, which has the form of a soliton–antisoliton pair, corresponds to the instanton trajectory in the double-well problem. We use the instanton method developed for the double-well problem to find the contribution to the density of states from disorder realizations close to the optimal fluctuation.


Biosystems ◽  
2016 ◽  
Vol 150 ◽  
pp. 87-91 ◽  
Author(s):  
Laura Hindersin ◽  
Marius Möller ◽  
Arne Traulsen ◽  
Benedikt Bauer

2010 ◽  
Vol 81 (5) ◽  
Author(s):  
G. Brida ◽  
M. V. Chekhova ◽  
I. P. Degiovanni ◽  
M. Genovese ◽  
G. Kh. Kitaeva ◽  
...  

1976 ◽  
Vol 37 (C4) ◽  
pp. C4-241-C4-248 ◽  
Author(s):  
S. VON MOLNAR ◽  
T. PENNEY ◽  
F. HOLTZBERG
Keyword(s):  

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