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Relaxation processes in high frequency domain: phenomenology vs fractional dynamics

2016/23/B/ST3/01714

Keywords

Descriptors

  • ST3_13: Fizyka mezoskopowa

Panel

ST3 – Condensed matter physics: structure, electronic properties, fluids, nanosciences, biological physics

Host institution

Instytut Fizyki Jądrowej im. Henryka Niewodniczańskiego PAN

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Katarzyna Górska

Number of co-investigators in the project: 3

Call

OPUS 12 – announced on 2016-09-15

Amount awarded
428 700 PLN
Project start date
2017-07-19
Project end date
2022-07-18
Project duration
60 months (the same as in the proposal)
Project status
Project settled

Project description

Download the project description in a pdf file

Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Computer przenośny type Laptop: np. MacBook Pro (13-calowy, dwurdzeniowy processor Intel Core i5 2.0 GHZ, pamięć 8 GB, pamięć masowa flash 256 GB). Cost: 7 500 PLN
  2. Comuter przenośny typu Laptop. Cost: 11 955 PLN
  3. Komputer stacjonarny type Desktop: np. iMac (21.5-calowy, czterordzeniowy procesor Intel Core i5 2.9 GHz, 8 GB pamięci RAM, dysk tardy 1 TB). Cost: 6 500 PLN

Information in the final report

Publication in academic press/journals (19)

  1. Operator Ordering and Solution of Pseudo-Evolutionary Equations

    Authors:
    N. Behr, G. Dattoli, and A. Lattanzi
    Academic press:
    Axioms (year: 2019, volume: 8, pages: 35), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/axioms8010035 – link to the publication

  2. Dual Numbers and Operational Umbral Methods

    Authors:
    N. Behr, G. Dattoli, A. Lattanzi, and S. Licciardi
    Academic press:
    Axioms (year: 2019, volume: 8, pages: 77), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/axioms8030077 – link to the publication

  3. The Volterra type equations related to the non-Debye relaxation

    Authors:
    K. Górska, A. Horzela
    Academic press:
    Commun. Nonlinear Sci. Numer. Simulat. (year: 2020, volume: 85, pages: 105246), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2020.105246 – link to the publication

  4. Non-Debye Relaxations: Two Types of Memories and Their Stieltjes Character

    Authors:
    K. Górska, A. Horzela
    Academic press:
    Mathematics (year: 2021, volume: 9, pages: 477), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/math9050477 – link to the publication

  5. Generalized Cattaneo (telegrapher′s) equations in modeling anomalous diffusion phenomena

    Authors:
    K. Górska, A. Horzela, E.K. Lenzi, G. Pagnini, T. Sandev
    Academic press:
    Phys. Rev. E (year: 2020, volume: 102, pages: 22128), Publisher: APS physics
    Status:
    Published
    DOI:
    10.1103/PhysRevE.102.022128 – link to the publication

  6. Quasi‐Relativistic Heat Equation via Lévy Stable Distributions: Exact Solutions

    Authors:
    K.A. Penson, K. Górska, A. Horzela, G. Dattoli
    Academic press:
    Ann. Phys.-Berlin (year: 2018, volume: 530, pages: 1700374), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1002/andp.201700374 – link to the publication

  7. Mittag-Leffler function and fractional differential equations

    Authors:
    K. Górska, A. Lattanzi, G. Dattoli
    Academic press:
    Fractional Calculus and Applied Analysis (year: 2018, volume: 21, pages: 220-236), Publisher: De Gruyter
    Status:
    Published
    DOI:
    10.1515/fca-2018-0014 – link to the publication

  8. Composition law for the Cole-Cole relaxation and ensuing evolution equations

    Authors:
    K. Górska, A. Horzela, A. Lattanzi
    Academic press:
    Physics Letters A (year: 2019, volume: 383, pages: 1716), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2019.03.008 – link to the publication

  9. A note on the article Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel [Z. Angew. Math. Phys. (2019) 70: 42]

    Authors:
    K. Górska, A. Horzela, and T. K. Pogány
    Academic press:
    Zeitschrift für angewandte Mathematik und Physik (year: 2019, volume: 70, pages: 42), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00033-019-1186-z – link to the publication

  10. Some results on the complete monotonicity of Mittag-Leffler functions of Le Roy type

    Authors:
    K. Górska, A. Horzela, and R. Garrappa
    Academic press:
    Fractional Calculus and Applied Analysis (year: 2019, volume: 22, pages: 1284), Publisher: De Gruyter
    Status:
    Published
    DOI:
    10.1515/fca-2019-0068 – link to the publication

  11. On the application of Mittag–Leffler functions to hyperbolic-type decay of luminescence

    Authors:
    A. Lattanzi, G. Casasanta, R. Garra
    Academic press:
    Journal of Physics and Chemistry of Solids (year: 2021, volume: 163, pages: 110538), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpcs.2021.110538 – link to the publication

  12. Observations on the McKay Iv Bessel distribution,

    Authors:
    K. Górska, A. Horzela, D.J. Maširević, T.K. Pogány
    Academic press:
    J. Math. Anal. Appl. (year: 2022, volume: 516, pages: 126481), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2022.126481 – link to the publication

  13. General approach to stochastic resetting

    Authors:
    R.K. Singh, K. Górska, T. Sandev
    Academic press:
    Phys. Rev. E (year: 2022, volume: 105, pages: 64133), Publisher: APS physics
    Status:
    Published
    DOI:
    10.1103/PhysRevE.105.064133 – link to the publication

  14. Non-Debye relaxations: The characteristic exponent in the excess wings model,

    Authors:
    K. Górska, A. Horzela, T.K. Pogány
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (year: 2021, volume: 103, pages: 106006), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.106006 – link to the publication

  15. Non-Debye relaxations: Smeared time evolution, memory effects, and the Laplace exponents

    Authors:
    K. Górska, A. Horzela, T.K. Pogány
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (year: 2021, volume: 99, pages: 105837,), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.105837 – link to the publication

  16. Integral decomposition for the solutions of the generalized Cattaneo equation

    Authors:
    K. Górska
    Academic press:
    Physics Review E (year: 2021, volume: 104, pages: 24113), Publisher: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevE.104.024113 – link to the publication

  17. Non-Debye Relaxations: The Ups and Downs of the Stretched Exponential vs. Mittag–Leffler′s Matchings

    Authors:
    K. Górska, A. Horzela, K.A. Penson
    Academic press:
    Fractal and Fractional (year: 2021, volume: 5, pages: 265), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/fractalfract5040265 – link to the publication

  18. On complete monotonicity of three parameter Mittag-Leffler functions

    Authors:
    K. Górska, A. Horzela, A. Lattanzi, T. K. Pogany
    Academic press:
    Applicable Analysis and Discrete Mathematics (year: 2021, volume: 15, pages: 118-128), Publisher: University of Belgrade
    Status:
    Published
    DOI:
    10.2298/AADM190226025G, – link to the publication

  19. The Havriliak–Negami relaxation and its relatives: the response, relaxation and probability density functions

    Authors:
    K. Górska, A. Horzela, Ł. Bratek, G. Dattoli, K. A. Penson
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2018, volume: 51, pages: 135202), Publisher: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8121/aaafc0 – link to the publication

Articles in post-conference publications (3)

  1. Evolution Equations in a Nutshell

    Authors:
    A. Lattanzi, D. Levi, A. Torre
    Conference:
    the 12th Conference of the Society of Physicists of Macedonia (year: 2018, pages: 16-19), Publisher: Society of Physicists of Macedonia
    Date:
    conference 27-30 September 2018
    Status:
    Published

  2. How to Deal with Nonlocality and Pseudodifferential Operators. An Example: The Salpeter Equation

    Authors:
    A. Lattanzi
    Conference:
    The 11th International Symposium, Montreal, Canada (year: 2021, pages: 101-109), Publisher: Springer
    Date:
    conference July 1-5, 2019
    Status:
    Published

  3. The causality-composition law for the non-Debye relaxations

    Authors:
    K. Gorska, A. Horzela, A. Lattanzi, and P. Bochnacki
    Conference:
    The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32) (year: 2018, pages: 10 pp), Publisher: IOP
    Date:
    conference 9-13.07.2018
    Status:
    Published

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