kramers model
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Entropy ◽  
2021 ◽  
Vol 23 (10) ◽  
pp. 1315
Author(s):  
Chungho Cheng ◽  
Matteo Cirillo ◽  
Niels Grønbech-Jensen

Langevin simulations are conducted to investigate the Josephson escape statistics over a large set of parameter values for damping and temperature. The results are compared to both Kramers and Büttiker–Harris–Landauer (BHL) models, and good agreement is found with the Kramers model for high to moderate damping, while the BHL model provides further good agreement down to lower damping values. However, for extremely low damping, even the BHL model fails to reproduce the progression of the escape statistics. In order to explain this discrepancy, we develop a new model which shows that the bias sweep effectively cools the system below the thermodynamic value as the potential well broadens due to the increasing bias. A simple expression for the temperature is derived, and the model is validated against direct Langevin simulations for extremely low damping values.


2020 ◽  
pp. 109983
Author(s):  
O. Nikan ◽  
J.A. Tenreiro Machado ◽  
A. Golbabai ◽  
J. Rashidinia

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
S. V. Radionov ◽  
V. M. Kolomietz
Keyword(s):  

2008 ◽  
Vol 129 (7) ◽  
pp. 075104 ◽  
Author(s):  
Srabanti Chaudhury ◽  
Debarati Chatterjee ◽  
Binny J. Cherayil

1990 ◽  
Vol 41 (10) ◽  
pp. 5366-5382 ◽  
Author(s):  
Ilya Rips ◽  
Eli Pollak
Keyword(s):  

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