scholarly journals The Role of Stochasticity in Noise-Induced Tipping Point Cascades: A Master Equation Approach

2021 ◽  
Vol 83 (5) ◽  
Author(s):  
Abhishek Mallela ◽  
Alan Hastings
Keyword(s):  
Master Equation ◽  
Tipping Point ◽  
Equation Approach ◽  
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 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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