Stochastic master-equation approach to aggregation in freeway traffic

1997 ◽  
Vol 56 (3) ◽  
pp. 2666-2671 ◽  
Author(s):  
R. Mahnke ◽  
N. Pieret
Keyword(s):  
Master Equation ◽  
Equation Approach ◽  
Freeway Traffic ◽  
Stochastic Master Equation ◽  
Master Equation Approach

An extended master-equation approach applied to aggregation in freeway traffic

2008 ◽  
Vol 17 (2) ◽  
pp. 473-478 ◽  
Author(s):  
Li Jun-Wei ◽  
Lin Bo-Liang ◽  
Huang Yong-Chang
Keyword(s):  
Master Equation ◽  
Equation Approach ◽  
Freeway Traffic ◽  
Master Equation Approach

scholarly journals Stepwise introduction of model complexity in a generalized master equation approach to time-dependent transport

2012 ◽  
Vol 61 (2-3) ◽  
pp. 305-316 ◽  
Author(s):  
V. Gudmundsson ◽  
O. Jonasson ◽  
Th. Arnold ◽  
C-S. Tang ◽  
H.-S. Goan ◽  
...  
Keyword(s):  
Master Equation ◽  
Time Dependent ◽  
Model Complexity ◽  
Equation Approach ◽  
Master Equation Approach ◽  
Dependent Transport ◽  
Generalized Master Equation

scholarly journals Intrinsic Friction of Monolayers Adsorbed on Solid Surfaces.

2003 ◽  
Vol 790 ◽  
Author(s):  
O. Bénichou ◽  
A.M. Cazabat ◽  
J. De Coninck ◽  
M. Moreau ◽  
G. Oshanin
Keyword(s):  
Density Distribution ◽  
Master Equation ◽  
Vapor Phase ◽  
Tracer Particle ◽  
Hard Core ◽  
Solid Surfaces ◽  
Equation Approach ◽  
Frictional Properties ◽  
Master Equation Approach ◽  
Frictional Forces

ABSTRACTWe review recent results on intrinsic frictional properties of adsorbed monolayers, composed of mobile hard-core particles undergoing continuous exchanges with a vapor phase. In terms of a dynamical master equation approach we determine the velocity of a biased impure molecule - the tracer particle (TP), constrained to move inside the adsorbed mono-layer probing its frictional properties, define the frictional forces exerted by the monolayer on the TP, as well as the particles density distribution in the monolayer.

scholarly journals The quantum trajectory approach to quantum feedback control of an oscillator revisited

2012 ◽  
Vol 370 (1979) ◽  
pp. 5338-5353 ◽  
Author(s):  
Andrew C. Doherty ◽  
A. Szorkovszky ◽  
G. I. Harris ◽  
W. P. Bowen
Keyword(s):  
Master Equation ◽  
Quantum Trajectory ◽  
Measurement Sensitivity ◽  
Position Measurement ◽  
Stochastic Master Equation ◽  
Trajectory Approach ◽  
Quantum Feedback ◽  
Master Equation Approach ◽  
Rotating Wave ◽  
Parametric Driving

We revisit the stochastic master equation approach to feedback cooling of a quantum mechanical oscillator undergoing position measurement. By introducing a rotating wave approximation for the measurement and bath coupling, we can provide a more intuitive analysis of the achievable cooling in various regimes of measurement sensitivity and temperature. We also discuss explicitly the effect of backaction noise on the characteristics of the optimal feedback. The resulting rotating wave master equation has found application in our recent work on squeezing the oscillator motion using parametric driving and may have wider interest.

scholarly journals Regime of small number of photons in the cavity for a singleemitter laser

2021 ◽  
Vol 2103 (1) ◽  
pp. 012158
Author(s):  
N V Larionov
Keyword(s):  
Differential Equation ◽  
Exact Solutions ◽  
Master Equation ◽  
Cavity Mode ◽  
Photon Number ◽  
System Of Equations ◽  
Equation Approach ◽  
Master Equation Approach ◽  
Single Emitter ◽  
Analytical Expressions

Abstract The model of a single-emitter laser generating in the regime of small number of photons in the cavity mode is theoretically investigated. Based on a system of equations for different moments of the field operators the analytical expressions for mean photon number and photon number variance are obtained. Using the master equation approach the differential equation for the phase-averaged quasi-probability Q is derived. For some limiting cases the exact solutions of this equation are found.

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