R. S. Mackay, Langevin equation for slow degrees of freedom of Hamiltonian systems, in Nonlinear Dynamics and Chaos: Advances and Perspectives Understanding Complex Systems (pp 89-102), Springer, 2010.MacKay R S 2010 Langevin equation for slow degrees of freedom of hamiltonian systems Nonlinear ...
The subscript i denotes n equations for an n degree of freedom system, so that the Lagrange equation yields as many equations of motion as there are degrees of freedom. For a free conservative system Qi and DE are both zero, so that ddt(∂(T)∂q˙i)−∂(T)∂qi+∂(V)∂...
We address the microscopic derivation of a quantum master equation in Lindblad form for the dynamics of a massive test particle with internal degrees of freedom, interacting through collisions with a background ideal gas. When either internal or center-of-mass degrees of freedom can be treated cla...
N. N. Bogolyubov, Problems of Dynamic Theory in Statistical Physics [in Russian], Gostekhizdat (1946). About this Article Title Kinetic equation for a nonideal gas with internal degrees of freedom Journal Soviet Physics Journal Volume 21, Issue 10 , pp 1353-1354 Cover Date 1978-10-01...
14、n must be a four-component Dirac Spinor A consequence of introducing an equation that is 1st order in time/space derivatives is that the wave-function has new degrees of freedom ! For the Hamiltonian to be Hermitian requires At this point it is convenient to introduce an explicit represe...
Noun1.linear equation- a polynomial equation of the first degree equation- a mathematical statement that two expressions are equal Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc. Want to thank TFD for its existence?Tell a friend about us, add ...
The number of degrees of freedom of a function is bounded by the product of its spatial uncertainty and its frequency uncertainty (or more generally, by the volume of the phase space uncertainty). In particular, there are not enough degrees of freedom for a non-trivial function to be simulat...
1.Establish the several degrees-of-freedom model of this pendulum by using the Lagrange equations,and the model is linearized at the balance state.对于此钟摆现象,采用拉格朗日方程建立其多自由度模型、并在平衡态进行解耦和线性化。 2.Based on Lagrange equations,a dynamic model is derived for typical...
4, which shows the independent degrees of freedom of each particle (position, momentum, and orientation) and the forces from an external potential (which in the figure has the form of a barrier as in the active tunnel effect). The corresponding Fokker-Planck equation is given by35 $${\dot...
Reduced dimensionality quantum calculations of mode specificity in OH+H2H2O+H The Schrdinger equation for the radial degrees of freedom is solved using a modification of the hyperspherical approach, which we have described previously... D Wang,JM Bowman - 《Journal of Chemical Physics》 被引量: ...