Fractional heterogeneous telegraph processes: Interplay between heterogeneity, memory, and stochastic resetting

被引：0

作者：

Sandev, Trifce ^{[1
,2
,3
]}

Iomin, Alexander ^{[4
,5
]}

机构：

[1] Macedonian Acad Sci & Arts, Res Ctr Comp Sci & Informat Technol, Bul Krste Misirkov 2, Skopje 1000, North Macedonia

[2] Ss Cyril & Methodius Univ, Inst Phys, Fac Nat Sci & Math, Arhimedova 3, Skopje 1000, North Macedonia

[3] Korea Univ, Dept Phys, Seoul 02841, South Korea

[4] Solid State Inst, Technion, IL-32000 Haifa, Israel

[5] Max Planck Inst Phys Komplexer Syst, Dresden, Germany

来源：

PHYSICAL REVIEW E | 2024年 / 110卷 / 02期

关键词：

DIFFUSION; EQUATIONS; TRANSPORT;

D O I：

10.1103/PhysRevE.110.024101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Fractional heterogeneous telegraph processes are considered in the framework of telegrapher's equations accompanied by memory effects. The integral decomposition method is developed for the rigorous treating of the problem. Exact solutions for the probability density functions and the mean squared displacements are obtained. A relation between the fractional heterogeneous telegrapher's equation and the corresponding Langevin equation has been established in the framework of the developed subordination approach. The telegraph process in the presence of stochastic resetting has been studied, as well. An exact expression for both the nonequilibrium stationary distributions/states / states and the mean squared displacements are obtained.

引用

页数：9

共 12 条

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