Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes

From Stochastic Processes to PDEs

Deng, Weihua (Lanzhou Univ, Wang, Xudong (Nanjing Univ Of Science And Technology, Nie, Daxin (Lanzhou Univ - Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes

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This volume presents a pedagogical review of the functional distribution of anomalous and nonergodic diffusion and its numerical simulations, starting from the studied stochastic processes to the deterministic partial differential equations governing the probability density function of the functionals. Since the remarkable theory of Brownian motion was proposed by Einstein in 1905, it had a sustained and broad impact on diverse fields, such as physics, chemistry, biology, economics, and mathematics. The functionals of Brownian motion are later widely attractive for their extensive applications. It was Kac, who firstly realized the statistical properties of these functionals can be studied by using Feynman's path integrals. In recent decades, anomalous and nonergodic diffusions which are non-Brownian become topical issues, such as fractional Brownian motion, Lévy process, Lévy walk, among others. This volume examines the statistical properties of the non-Brownian functionals, derives the governing equations of their distributions, and shows some algorithms for solving these equations numerically.

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Schrijver: Deng, Weihua (Lanzhou Univ, Wang, Xudong (Nanjing Univ Of Science And Technology, Nie, Daxin (Lanzhou Univ
Titel: Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes
Uitgever: World Scientific Publishing Co Pte Ltd

Jaar: 2022
Taal: Engels
Pagina's: 260

EAN: 9789811250491
Bindwijze: Hardback

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Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes

From Stochastic Processes to PDEs

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