Numerical Results and Diffusion Approximations in a Genetic Process

Biometrika ◽  
1963 ◽  
Vol 50 (3/4) ◽  
pp. 241 ◽  
Author(s):  
W. J. Ewens
Keyword(s):  
Numerical Results ◽  
Diffusion Approximations ◽  
Genetic Process ◽  
And Diffusion

scholarly journals A review of the deterministic and diffusion approximations for stochastic chemical reaction networks

2018 ◽  
Vol 123 (2) ◽  
pp. 289-312 ◽  
Author(s):  
Pavel Mozgunov ◽  
Marco Beccuti ◽  
Andras Horvath ◽  
Thomas Jaki ◽  
Roberta Sirovich ◽  
...  
Keyword(s):  
Chemical Reaction ◽  
Chemical Reaction Networks ◽  
Reaction Networks ◽  
Diffusion Approximations ◽  
And Diffusion

scholarly journals Generalized Lemaítre–Tolman–Bondi spacetime under the influence of electric charge and Palatini f(R) gravity

2021 ◽  
Vol 81 (9) ◽  
Author(s):  
M. Z. Bhatti ◽  
Z. Yousaf ◽  
F. Hussain
Keyword(s):  
Electromagnetic Field ◽  
Evolution Equations ◽  
Mass Function ◽  
Diffusion Approximations ◽  
Riemann Curvature ◽  
Field Equations ◽  
Riemann Curvature Tensor ◽  
Inhomogeneous Universe ◽  
Dust Fluid ◽  
And Diffusion

AbstractThe objective of this article is to investigate the effects of electromagnetic field on the generalization of Lemaître–Tolman–Bondi (LTB) spacetime by keeping in view the Palatini f(R) gravity and dissipative dust fluid. For performing this analysis, we followed the strategy deployed by Herrera et al. (Phys Rev D 82(2):024021, 2010). We have explored the modified field equations along with kinematical quantities and mass function and constructed the evolution equations to study the dynamics of inhomogeneous universe along with Raychauduary and Ellis equations. We have developed the relation for Palatini f(R) scalar functions by splitting the Riemann curvature tensor orthogonally and associated them with metric coefficients using modified field equations. We have formulated these scalar functions for LTB and its generalized version, i.e., GLTB under the influence of charge. The properties of GLTB spacetime are consistent with those of the LTB geometry and the scalar functions found in both cases are comparable in the presence of charge and Palatini f(R) curvature terms. The symmetric properties of generalized LTB spacetime are also studied using streaming out and diffusion approximations.

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