Statistics of residence time for Levy flights in unstable parabolic potentials

被引：7

作者：

Dubkov, Alexander A. ^{[1
]}

Dybiec, Bartlomiej ^{[2
,3
]}

Spagnolo, Bernardo ^{[1
,4
,5
,6
]}

Kharcheva, Anna ^{[1
,4
,5
]}

Guarcello, Claudio ^{[7
,8
]}

Valenti, Davide ^{[4
,5
,9
]}

机构：

[1] Lobachevsky State Univ Nizhni Novgorod, Radiophys Dept, Gagarin Ave 23, Nizhnii Novgorod 603950, Russia

[2] Jagiellonian Univ, Inst Theoret Phys, Ul St Lojasiewicza 11, PL-30348 Krakow, Poland

[3] Jagiellonian Univ, Mark Kac Ctr Complex Syst Res, Ul St Lojasiewicza 11, PL-30348 Krakow, Poland

[4] Univ Palermo, Dipartimento Fis & Chim Emilio Segre, Grp Interdisciplinary Theoret Phys, Viale Sci,Edificio 18, I-90128 Palermo, Italy

[5] CNISM, Unita Palermo, Viale Sci,Edificio 18, I-90128 Palermo, Italy

[6] Ist Nazl Fis Nucl, Sez Catania, Via S Sofia 64, I-90123 Catania, Italy

[7] Univ Salerno, Dipartimento Fis ER Caianiello, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy

[8] Ist Nazl Fis Nucl, Sez Napoli, Grp Collegato Salerno, Complesso Univ Monte S Angelo, I-80126 Naples, Italy

[9] CNR, Ist Ric & Innovaz Biomed, IRIB, Via Ugo La Malfa 153, I-90146 Palermo, Italy

来源：

PHYSICAL REVIEW E | 2020年 / 102卷 / 04期

关键词：

NONEQUILIBRIUM SYSTEMS; INSTABILITY POINT; STATIONARY STATES; SCALING THEORY; DYNAMICS; NOISE; DECAY; ESCAPE; EQUILIBRIUM; TRANSITIONS;

D O I：

10.1103/PhysRevE.102.042142

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：

We analyze the residence time problem for an arbitrary Markovian process describing nonlinear systems without a steady state. We obtain exact analytical results for the statistical characteristics of the residence time. For diffusion in a fully unstable potential profile in the presence of Levy noise we get the conditional probability density of the particle position and the average residence time. The noise-enhanced stability phenomenon is observed in the system investigated. Results from numerical simulations are in very good agreement with analytical ones.

引用

页数：8

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