Femtosecond pulse propagation in biotissue-like scattering medium: theoretical analysis versus Monte Carlo simulations

2007 ◽  
Author(s):  
Ekaterina A. Sergeeva ◽  
Mikhail Yu. Kirillin ◽  
Alexander V. Priezzhev
Keyword(s):  
Monte Carlo ◽  
Theoretical Analysis ◽  
Monte Carlo Simulations ◽  
Femtosecond Pulse ◽  
Pulse Propagation ◽  
Scattering Medium

KINETIC ROUGHENING AND INTERACTING REACTING SPECIES: NONLINEAR ASPECTS

Fractals ◽  
1993 ◽  
Vol 01 (03) ◽  
pp. 470-474 ◽  
Author(s):  
I.M. SOKOLOV ◽  
P. ARGYRAKIS ◽  
A. BLUMEN
Keyword(s):  
Monte Carlo ◽  
Theoretical Analysis ◽  
Diffusion Process ◽  
Monte Carlo Simulations ◽  
Short Range ◽  
Reaction Diffusion ◽  
Kinetic Roughening ◽  
Constant Rate ◽  
Good Agreement

We consider the A+B→0 reaction, in which particles interact through short-range forces. The analysis leads to expressions akin in form to those which describe kinetic roughening. In a situation in which particles are generated with a constant rate j0, their concentration n(t) grows as [Formula: see text] in d=1. Here the theoretical analysis predicts γ=1/5 and β=2/5, in very good agreement with direct Monte-Carlo simulations of the reaction-diffusion process.

scholarly journals Numerical preservation issues in stochastic dynamical systems by $ \vartheta $-methods

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Raffaele D'Ambrosio ◽  
Stefano Di Giovacchino
Keyword(s):  
Monte Carlo ◽  
Dynamical Systems ◽  
Theoretical Analysis ◽  
Monte Carlo Simulations ◽  
Duffing Oscillator ◽  
Stochastic Dynamical Systems ◽  
Numerical Evidence ◽  
Stochastic Oscillator ◽  
Expected Values

<p style='text-indent:20px;'>This paper analyzes conservation issues in the discretization of certain stochastic dynamical systems by means of stochastic <inline-formula><tex-math id="M2">\begin{document}$ \vartheta $\end{document}</tex-math></inline-formula>-mehods. The analysis also takes into account the effects of the estimation of the expected values by means of Monte Carlo simulations. The theoretical analysis is supported by a numerical evidence on a given stochastic oscillator, inspired by the Duffing oscillator.</p>

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