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Titlebook: Diffusion Under Confinement; A Journey Through Co Leonardo Dagdug,Jason Peña,Ivan Pompa-García Textbook 2024 The Editor(s) (if applicable)

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Reaction-Diffusion EquationsIn this chapter, we introduce the Turing bifurcations, a type of bifurcation arising in reaction-diffusion systems. They lead to nontrivial spatial patterns, which we will study both analytically and numerically. These patterns form instabilities in spatially extended dissipative systems driven away from equilibrium.
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https://doi.org/10.1007/978-3-319-97226-8 can be described mathematically by the Dirichlet and Neumann BCs. With Dirichlet BCs, we can define the perfect absorbing boundary, while Neumann BCs are used to describe reflecting and radiation boundaries. As we will see, the properties of the propagator and its flux at the boundary become essential when defining BCs.
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Liesbeth De Mol,Giuseppe Primieropossible), and the Laplace transform. In the separation of variables method. Our main goal is to characterize the system with physical parameters such as propagator, flux, survival probability, mean first-passage time, and splitting probability.
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Probability in the quantum world,served in phenomena related to physics, chemistry, biophysics, and scientific computation. In the latter, it has been applied as a useful strategy to optimize search algorithms in hard combinatorial problems.
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