An arbitrary Lagrangian–Eulerian approach to solving the quantum hydrodynamic equations of motion: Equidistribution with “smart” springs

Corey J. Trahan; Robert E. Wyatt

doi:10.1063/1.1553468

An arbitrary Lagrangian–Eulerian approach to solving the quantum hydrodynamic equations of motion: Equidistribution with “smart” springs

The Journal of Chemical Physics ◽

10.1063/1.1553468 ◽

2003 ◽

Vol 118 (11) ◽

pp. 4784-4790 ◽

Cited By ~ 47

Author(s):

Corey J. Trahan ◽

Robert E. Wyatt

Keyword(s):

Equations Of Motion ◽

Hydrodynamic Equations ◽

Arbitrary Lagrangian Eulerian ◽

Eulerian Approach ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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Direct Numerical Solution of the Quantum Hydrodynamic Equations of Motion

Quantum Trajectories ◽

10.1201/b10287-26 ◽

2016 ◽

pp. 345-364

Keyword(s):

Numerical Solution ◽

Equations Of Motion ◽

Hydrodynamic Equations ◽

Direct Numerical Solution ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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An iterative finite difference method for solving the quantum hydrodynamic equations of motion

Journal of Molecular Structure THEOCHEM ◽

10.1016/j.theochem.2009.12.004 ◽

2010 ◽

Vol 943 (1-3) ◽

pp. 158-167 ◽

Cited By ~ 11

Author(s):

Brian K. Kendrick

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Equations Of Motion ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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A new method for solving the quantum hydrodynamic equations of motion

The Journal of Chemical Physics ◽

10.1063/1.1601217 ◽

2003 ◽

Vol 119 (12) ◽

pp. 5805-5817 ◽

Cited By ~ 78

Author(s):

Brian K. Kendrick

Keyword(s):

Equations Of Motion ◽

New Method ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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A new method for solving the quantum hydrodynamic equations of motion: Application to two-dimensional reactive scattering

The Journal of Chemical Physics ◽

10.1063/1.1630302 ◽

2004 ◽

Vol 120 (2) ◽

pp. 603-611 ◽

Cited By ~ 38

Author(s):

Denise K. Pauler ◽

Brian K. Kendrick

Keyword(s):

Equations Of Motion ◽

New Method ◽

Reactive Scattering ◽

Two Dimensional ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors

Applied Mathematics Letters ◽

10.1016/s0893-9659(97)00055-4 ◽

1997 ◽

Vol 10 (4) ◽

pp. 29-34 ◽

Cited By ~ 11

Author(s):

A. Jüngel

Keyword(s):

Hydrodynamic Equations ◽

Current Voltage ◽

Current Voltage Characteristics ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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QUANTUM HYDRODYNAMIC EQUATIONS FOR A TWO-BAND WIGNER-KANE MODEL

Waves and Stability in Continuous Media ◽

10.1142/9789812702937_0010 ◽

2004 ◽

Cited By ~ 1

Author(s):

STEFANO BIONDINI ◽

GIOVANNI FROSALI ◽

FRANCESCO MUGELLI

Keyword(s):

Hydrodynamic Equations ◽

Kane Model ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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A derivation of the isothermal quantum hydrodynamic equations using entropy minimization

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200510232 ◽

2005 ◽

Vol 85 (11) ◽

pp. 806-814 ◽

Cited By ~ 26

Author(s):

A. Jüngel ◽

D. Matthes

Keyword(s):

Hydrodynamic Equations ◽

Entropy Minimization ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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Numerical integration of quantum hydrodynamic equations involving self-consistent electric field and isothermal pressure for one-dimensional stationary electron motion

10.1117/12.456243 ◽

2002 ◽

Author(s):

Andrey L. Sanin ◽

Konstantin V. Khodosevich ◽

Nikolay A. Krylov

Keyword(s):

Electric Field ◽

Numerical Integration ◽

Electron Motion ◽

Hydrodynamic Equations ◽

One Dimensional ◽

Self Consistent ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations ◽

Stationary Electron

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Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations

Journal of Differential Equations ◽

10.1016/j.jde.2009.09.001 ◽

2009 ◽

Vol 247 (11) ◽

pp. 3117-3135 ◽

Cited By ~ 24

Author(s):

Irene M. Gamba ◽

Ansgar Jüngel ◽

Alexis Vasseur

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Hydrodynamic Equations ◽

One Dimensional ◽

Global Existence Of Solutions ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization

SIAM Journal on Applied Mathematics ◽

10.1137/050644823 ◽

2006 ◽

Vol 67 (1) ◽

pp. 46-68 ◽

Cited By ~ 36

Author(s):

Ansgar Jüngel ◽

Daniel Matthes ◽

Josipa Pina Milišić

Keyword(s):

Hydrodynamic Equations ◽

Entropy Minimization ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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