scholarly journals Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction

1993 ◽  
Vol 48 (1) ◽  
pp. 77-87 ◽  
Author(s):  
W. T. Coffey ◽  
Yu. P. Kalmykov ◽  
E. S. Massawe
Keyword(s):  
Brownian Motion ◽  
Langevin Equation ◽  
Potential Application ◽  
Periodic Potential ◽  
Tunneling Junction ◽  
Eigenvalue Approach ◽  
Josephson Tunneling ◽  
Nonlinear Langevin Equation

Fabrication of Nb<inf>3</inf>Ge/Si(SiO<inf>x</inf>)/Pb Josephson tunneling junction

1983 ◽  
Vol 19 (3) ◽  
pp. 938-941 ◽  
Author(s):  
H. Ihara ◽  
Y. Kimura ◽  
H. Okumura ◽  
S. Gonda
Keyword(s):  
Tunneling Junction ◽  
Josephson Tunneling

scholarly journals On fractional Langevin equation involving two fractional orders in different intervals

2019 ◽  
Vol 24 (6) ◽  
Author(s):  
Hamid Baghani ◽  
J. Nieto
Keyword(s):  
Langevin Equation ◽  
Existence And Uniqueness ◽  
Initial Conditions ◽  
Sufficient Conditions ◽  
Uniqueness Of Solutions ◽  
Numerical Examples ◽  
Fractional Equations ◽  
Fractional Langevin Equation ◽  
Nonlinear Langevin Equation ◽  
Fractional Orders

In this paper, we study a nonlinear Langevin equation involving two fractional orders  α ∈ (0; 1] and β ∈ (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. Some illustrative numerical examples are also discussed. 

scholarly journals Effects of cooling rate on structural relaxation in amorphous drugs: elastically collective nonlinear langevin equation theory and machine learning study

RSC Advances ◽  
2019 ◽  
Vol 9 (69) ◽  
pp. 40214-40221 ◽  
Author(s):  
Anh D. Phan ◽  
Katsunori Wakabayashi ◽  
Marian Paluch ◽  
Vu D. Lam
Keyword(s):  
Machine Learning ◽  
Cooling Rate ◽  
Langevin Equation ◽  
Structural Relaxation ◽  
Molecular Mobility ◽  
Learning Study ◽  
Cooling Rates ◽  
Theoretical Approaches ◽  
Amorphous Drugs ◽  
Nonlinear Langevin Equation

Theoretical approaches are formulated to investigate the molecular mobility under various cooling rates of amorphous drugs.

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