scholarly journals Exact solution of two simple non-equilibrium electron-phonon and electron-electron coupled systems: The atomic limit of the Holstein-Hubbard model and the generalized Hatsugai-Komoto model

2021 ◽  
Vol 104 (15) ◽  
Author(s):  
R. D. Nesselrodt ◽  
J. K. Freericks
Keyword(s):  
Exact Solution ◽  
Hubbard Model ◽  
Coupled Systems ◽  
Atomic Limit ◽  
Non Equilibrium

scholarly journals Exact solution of the Bose-Hubbard model on the Bethe lattice

2009 ◽  
Vol 80 (1) ◽  
Author(s):  
Guilhem Semerjian ◽  
Marco Tarzia ◽  
Francesco Zamponi
Keyword(s):  
Exact Solution ◽  
Hubbard Model ◽  
Bethe Lattice

Hubbard Model near the Atomic Limit

1970 ◽  
Vol 2 (11) ◽  
pp. 4686-4688 ◽  
Author(s):  
D. M. Esterling
Keyword(s):  
Hubbard Model ◽  
Atomic Limit

Exact solution of the Hubbard model with boundary hoppings and fields

2005 ◽  
Vol 70 (2) ◽  
pp. 218-224 ◽  
Author(s):  
I. N Karnaukhov ◽  
B. V Egorov
Keyword(s):  
Exact Solution ◽  
Hubbard Model

scholarly journals Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method

2009 ◽  
Vol 2009 ◽  
pp. 1-20 ◽  
Author(s):  
S. S. Ganji ◽  
M. G. Sfahani ◽  
S. M. Modares Tonekaboni ◽  
A. K. Moosavi ◽  
D. D. Ganji
Keyword(s):  
Exact Solution ◽  
Order Approximation ◽  
Expansion Method ◽  
Higher Order ◽  
Coupled Systems ◽  
Parameter Expansion ◽  
Analytical Technique ◽  
First Approximation ◽  
Mass Spring ◽  
Parameter Expansion Method

We consider periodic solution for coupled systems of mass-spring. Three practical cases of these systems are explained and introduced. An analytical technique called Parameter Expansion Method (PEM) was applied to calculate approximations to the achieved nonlinear differential oscillation equations. Comparing with exact solutions, the first approximation to the frequency of oscillation produces tolerable error 3.14% as the maximum. By the second iteration the respective error became 1/5th, as it is 0.064%. So we conclude that the first approximation of PEM is so benefit when a quick answer is required, but the higher order approximation gives a convergent precise solution when an exact solution is required.

Microscopic-Shock Profiles: Exact Solution of a Non-equilibrium System

1993 ◽  
Vol 22 (9) ◽  
pp. 651-656 ◽  
Author(s):  
B Derrida ◽  
S. A Janowsky ◽  
J. L Lebowitz ◽  
E. R Speer
Keyword(s):  
Exact Solution ◽  
Equilibrium System ◽  
Shock Profiles ◽  
Non Equilibrium
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