IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v194y2025ics0960077925001742.html

Anomalous diffusion induced by combining non-Stokesian friction with nonlinear binding

Author

Listed:
  • Bao, Wen
  • Xing, Rui
  • Wang, Hai-Yan
  • Bao, Jing-Dong

Abstract

We investigate nonequilibrium physical processes governed by a combination of non-Stokesian friction and nonlinear binding, within a framework where the fluctuation–dissipation theorem remains valid. Two distinct models are examined: a non-stationary Langevin equation and a system exhibiting non-Markovian dynamics, the both can induce the limitation of thermal diffusion: ballistic diffusion. In the first case, this behavior arises when the friction decays inversely with time, while in the second case, it results from a lack of low-frequency components in the driving noise. Then, we demonstrate that a logarithmic potential, acting as a weak binding force, can transition ballistic diffusion into full-scale anomalous diffusion. The effective temperature of the system deviates from the equilibrium value and exhibits nonmonotonic variation with the depth of the potential. Moreover, we study the noise-enhanced stability effect of the metastable state. This work highlights the critical impact of ergodicity breaking and underscores the peculiar role of nonlinear potentials in shaping dynamical behavior.

Suggested Citation

  • Bao, Wen & Xing, Rui & Wang, Hai-Yan & Bao, Jing-Dong, 2025. "Anomalous diffusion induced by combining non-Stokesian friction with nonlinear binding," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    • Handle: RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925001742
    DOI: 10.1016/j.chaos.2025.116161
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925001742
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116161?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. S. Spezia & L. Curcio & A. Fiasconaro & N. Pizzolato & D. Valenti & B. Spagnolo & P. Bue & E. Peri & S. Colazza, 2008. "Evidence of stochastic resonance in the mating behavior of Nezara viridula (L.)," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 453-458, October.
    2. Gene-Wei Li & X. Sunney Xie, 2011. "Central dogma at the single-molecule level in living cells," Nature, Nature, vol. 475(7356), pages 308-315, July.
    3. G. Augello & D. Valenti & A. L. Pankratov & B. Spagnolo, 2009. "Lifetime of the superconductive state in short and long Josephson junctions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(1), pages 145-151, July.
    4. Agudov, N.V. & Dubkov, A.A. & Safonov, A.V. & Krichigin, A.V. & Kharcheva, A.A. & Guseinov, D.V. & Koryazhkina, M.N. & Novikov, A.S. & Shishmakova, V.A. & Antonov, I.N. & Carollo, A. & Spagnolo, B., 2021. "Stochastic model of memristor based on the length of conductive region," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    5. Robert L. Jack, 2020. "Ergodicity and large deviations in physical systems with stochastic dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(4), pages 1-22, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yuan, Shenglan, 2025. "Stochastic dynamics of the resistively shunted superconducting tunnel junction system under the impact of thermal fluctuations," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    2. Xie, Fengjie & Shen, Xiaoyang & Wang, Siyi, 2025. "Pricing decisions and stability analysis in blockchain-enabled cross-border dual-channel supply chain," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    3. Li, Bo & Chen, Yu, 2025. "Uncertainty-driven portfolio selection via a multi-strategy modified sparrow search algorithm approach," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    4. Noh, Minseo & Park, Hyogeun & Kim, Sungjun, 2025. "Dynamic resistive switching of WOx-based memristor for associative learning activities, on-receptor, and reservoir computing," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    5. Liu, Wanan & Zou, Yao & Liu, Baokang & Tao, Jiacheng & Lan, Xingyu & Xia, Meng, 2026. "Explainable adaptive ensemble learning with imbalance mitigation for manufacturing sector financial risk warning," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    6. Ping, Zhu, 2023. "Analytical equivalent transformation method for nonlinear stochastic dynamics with multiple noises in high dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    7. Zhao, Xiangkui & Li, Ting, 2025. "Extinction and persistence of a stochastic HBV model," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    8. Jin, Yanfei & Wang, Haotian & Xu, Pengfei, 2023. "Noise-induced enhancement of stability and resonance in a tri-stable system with time-delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    9. Cantudo, A. & Jiménez-Molinos, F. & Ruiz, P.Q. & López, A. & Villena, M.A. & González, M.B. & Campabadal, F. & Roldán, J.B., 2025. "Statistical, simulation and modeling analysis of variability in memristors with single and bilayer dielectrics of HfO2 and Al2O3, a comparison," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    10. Yuklyaevskikh, Georgii A. & Shvetsov, Boris S. & Emelyanov, Andrey V. & Kulagin, Vsevolod A. & Rylkov, Vladimir V. & Demin, Vyacheslav A., 2025. "Plasticity of parylene memristors: Compact phenomenological model and synaptic properties," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    11. Koryazhkina, M.N. & Lebedeva, A.V. & Pakhomova, D.D. & Antonov, I.N. & Razin, V.V. & Budylina, E.D. & Belov, A.I. & Mikhaylov, A.N. & Konakov, A.A., 2025. "Investigation of in vitro neuronal activity processing using a CMOS-integrated ZrO2(Y)-based memristive crossbar," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    12. Zhevnenko, Dmitry & Meshchaninov, Fedor & Belov, Alexey & Gornev, Evgeny & Mikhaylov, Alexey, 2025. "Modeling memristor switching behavior through phase-delay cluster analysis," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    13. Yuan Zhang & Dong-Jun Wang & Qiang-Ming Cai & Long-Jian Zhou & Feng Guo & Yan-Wen Zhao, 2026. "Resonance phenomenon for a memristive Hindmarsh–Rose neuronal model with multiplicative and additive noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 99(3), pages 1-12, March.
    14. Zhao, Yu & Buwajier, Damaola & Ren, Jie, 2025. "How to maintain long-term euglycemia in a noisy environment: Insight from a stochastic glucose–insulin metabolism model with correlated Gaussian colored noise," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    15. Singh, R.K., 2025. "Restarts delay escape over a potential barrier," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    16. Guo, Yongfeng & Ding, Jiaxin & Mi, Lina, 2024. "Statistical complexity and stochastic resonance of an underdamped bistable periodic potential system excited by Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    17. Jin, Yanfei & Wang, Heqiang, 2020. "Noise-induced dynamics in a Josephson junction driven by trichotomous noises," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    18. Dang-Ra, C. & Chamgoué Chéagé, A. & Lekeufack, O.T. & Filatrella, G. & Troisi, A. & Yamapi, R., 2025. "Coherence and stochastic resonance in a self-sustaining enzyme-reaction system coupled to magnetic flux," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    19. Pierre Parutto & Yutong Yuan & Valentina Davì & Roger Pons-Lanau & Svenja Ebeling & Karnika Gupta & Francesca Bottanelli & Maria F. Garcia-Parajo & Felix Campelo & Clemens F. Kaminski & Joseph E. Cham, 2026. "FidlTrack: high-fidelity structure-aware single particle tracking resolves intracellular molecular motion in organelles sensing APP processing," Nature Communications, Nature, vol. 17(1), pages 1-24, December.
    20. Yablokov, A.A. & Glushkov, E.I. & Pankratov, A.L. & Gordeeva, A.V. & Kuzmin, L.S. & Il’ichev, E.V., 2021. "Resonant response drives sensitivity of Josephson escape detector," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925001742. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.