\begin{document}${\cal{E}}_{\rm cm}$\end{document} exhibits the characteristic behavior in charged-particle collisions, rapidly increasing as the particles approach the horizon. The parameter γ amplifies the BSW acceleration mechanism, while α suppresses it. The electric Penrose process for charged particles is also examined, revealing that the efficiency of energy extraction increases with the black hole charge and is strongly influenced by the interaction parameter γ, which plays a dominant role in enhancing the efficiency, whereas the effect of α remains comparatively negligible."> ModMax charged black holes in PFDM: Electric Penrose and particle collisions -
  • [1]

    D. Flores-Alfonso, B. A. González-Morales, R. Linareset al., Phys. Lett. B812, 136011 (2021), arXiv: 2011.10836[gr-qc]

  • [2]

    I. Bandos, K. Lechner, D. Sorokinet al., Phys. Rev. D102, 121703 (2020), arXiv: 2007.09092[hepth]

  • [3]

    Y. Sekhmani, S. K. Maurya, J. Rayimbaevet al., Phys. Dark Univ.50, 102116 (2025)

  • [4]

    A. Al-Badawi, F. Ahmed, and İ. Sakallı, Phys. Dark Univ.50, 102076 (2025), arXiv: 2508.03226[grqc]

  • [5]

    R. C. Pantig, L. Mastrototaro, G. Lambiaseet al., Eur. Phys. J. C82, 1155 (2022), arXiv: 2208.06664[gr-qc]

  • [6]

    K. Karshiboev, F. Atamurotov, A. Abdujabbarovet al., Commun. Theor. Phys.76, 025401 (2024)

  • [7]

    L. Meliyeva, O. Xoldorov, O. Tursunboyevet al., Chin. Phys. C49, 125102 (2025)

  • [8]

    Y. Sekhmani, S. K. Maurya, J. Rayimbaevet al., Phys. Dark Univ.50, 102079 (2025)

  • [9]

    A. Al-Badawi, Y. Sekhmani, and K. Boshkayev, Phys. Dark Univ.48, 101865 (2025)

  • [10]

    K. Jafarzade, Z. Bazyar, and M. Jamil, Phys. Lett. B864, 139390 (2025), arXiv: 2411.15757[gr-qc]

  • [11]

    E. Ayón-Beato, D. Flores-Alfonso, and M. Hassaine, Phys. Rev. D110, 064027 (2024), arXiv: 2404.08753[hepth]

  • [12]

    D. N. Baker and M. Bodeau,Space Weather Effects and Applications, (2021), p. 3

  • [13]

    I. Bandos, K. Lechner, D. Sorokinet al., JHEP2021, 22 (2021), arXiv: 2012.09286[hep-th]

  • [14]

    K. Lechner, P. Marchetti, A. Sainaghiet al., Phys. Rev. D106, 016009 (2022), arXiv: 2206.04657[hepth]

  • [15]

    Z. Avetisyan, O. Evnin, and K. Mkrtchyan, Phys. Rev. Lett.127, 271601 (2021), arXiv: 2108.01103[hep-th]

  • [16]

    K. Karshiboev, F. Atamurotov, A. Övgünet al., New Astronomy109, 102200 (2024)

  • [17]

    S. I. Kruglov, Int. J. Mod. Phys. D31, 2250025 (2022), arXiv: 2203.11697[physics.gen-ph]

  • [18]

    B. E. Panah, Prog. Theor. Exp. Phys.2024, 023E01 (2024), arXiv: 2402.12492[gr-qc]

  • [19]

    A. Ballon Bordo, D. Kubiznak, and T. R. Perche, (2020), arXiv: 2011.13398 [hep-th]

  • [20]

    D. Flores-Alfonso, R. Linares, and M. Maceda, (2020), arXiv: 2012.03416[grqc]

  • [21]

    D. Kubiznak, T. Tahamtan, and O. Svitek, (2022), arXiv: 2203.01919[grqc]

  • [22]

    Z. Amirabi and S. Habib Mazharimousavi, Eur. Phys. J. C81, 207 (2021), arXiv: 2012.07443[gr-qc]

  • [23]

    D. Hochberg and J. Pérez-Mercader, Phys. Rev. D55, 4880 (1997), arXiv: gr-qc/9609043[gr-qc]

  • [24]

    Z. M. Xu, B. Wu, and W. L. Yang, Physics Letters B821, 136632 (2021), arXiv: 2009.00291[gr-qc]

  • [25]

    Z. Xu, J. Wang, and X. Hou, Class. Quant. Grav.35, 115003 (2018), arXiv: 1711.04538[gr-qc]

  • [26]

    V. V. Kiselev, (2003), arXiv: 0303031[gr-qc]

  • [27]

    M. H. Li and K. C. Yang, Phys. Rev. D86, 123015 (2012), arXiv: 1204.3178[astro-ph.CO]

  • [28]

    J. Rayimbaev, U. Eshimbetov, B. Majeedet al., Chin. Phys. C48, 055104 (2024)

  • [29]

    Y. Myrzakulov, O. Donmez, M. Koussouret al., Phys. Dark Univ.48, 101829 (2025), arXiv: 2407.08837[astro-ph.CO]

  • [30]

    R. Penrose, Riv. Nuovo Cim.1, 252 (1969)

  • [31]

    Z. Stuchlík, M. Kološ, and A. Tursunov, Universe7, 416 (2021)

  • [32]

    M. Kaplan, N. Raza, I. Davletovet al., Phys. Lett. A564, 131079 (2025)

  • [33]

    Z. Yousaf, M. Z. Bhatti, M. Rizwanet al., Nucl. Phys. B1019, 117128 (2025)

  • [34]

    R. D. Blandford and R. L. Znajek, Mon. Not. R. Astron. Soc.179, 433 (1977)

  • [35]

    J. P. Lasota, E. Gourgoulhon, M. Abramowiczet al., Phys. Rev. D89, 024041 (2014), arXiv: 1310.7499[gr-qc]

  • [36]

    R. D. Blandford and D. G. Payne, Mon. Not. R. Astron. Soc.199, 883 (1982)

  • [37]

    M. Takahashi, S. Nitta, Y. Tatematsuet al., Astrophys. J.363, 206 (1990)

  • [38]

    L. Comisso and F. A. Asenjo, Phys. Rev. D103, 023014 (2021), arXiv: 2012.00879[astro-ph.HE]

  • [39]

    B. Chen, Y. Hou, J. Liet al., Phys. Rev. D110, 063003 (2024), arXiv: 2405.11488[gr-qc]

  • [40]

    M. Banados, J. Silk, and S. M. West, Phys. Rev. Lett.103, 111102 (2009), arXiv: 0909.0169[hep-ph]

  • [41]

    J. Rayimbaev, N. Kurbonov, A. Abdujabbarovet al., Int. J. Mod. Phys. D31, 2250032 (2022)

  • [42]

    A. Demyanova, O. Rakhimov, Y. Turaevet al., inRAGtime 20-22: Workshops on Black Holes and Neutron Stars, edited by Z. Stuchlík, G. Török, and V. Karas (2020) pp. 19–27, proceedings of RAGtime 20-22.

  • [43]

    V. V. Kiselev, Class. Quant. Grav.20, 1187 (2003), arXiv: gr-qc/0210040

  • [44]

    A. Tursunov, B. Juraev, Z. Stuchlíket al., Phys. Rev. D104, 084099 (2021), arXiv: 2109.10288[gr-qc]

  • [45]

    R. Brito, V. Cardoso, and P. Pani,Superradiance: New Frontiers in Black Hole Physics(Cham: Springer Nature Switzerland AG, 2020)

  • [46]

    C. R. Almeida, Eur. Phys. J. H46, 20 (2021)

  • [47]

    C. A. R. Herdeiro and E. Radu, Phys. Rev. Lett.112, 221101 (2014), arXiv: 1403.2757[gr-qc]

  • [48]

    J. D. Bekenstein, Phys. Rev. D7, 949 (1973)

  • [49]

    J. D. Bekenstein and M. Schiffer, Phys. Rev. D58, 064014 (1998), arXiv: gr-qc/9803033

  • [50]

    W. H. Press and S. A. Teukolsky, Nature238, 211 (1972)

  • [51]

    Y. B. Zeldovich, Soviet Journal of Experimental and Theoretical Physics Letters14, 180 (1971)

  • [52]

    N. Kurbonov, J. Rayimbaev, M. Alloqulovet al., Eur. Phys. J. C83, 506 (2023)

  • [53]

    N. Dadhich, A. Tursunov, B. Ahmedovet al., Mon. Not. R. Astron. Soc478, L89 (2018), arXiv: 1804.09679[astro-ph.HE]

  • [54]

    M. Alloqulov, B. Narzilloev, I. Hussainet al., Chin. J. Phys.85, 302 (2023)

  • [55]

    M. Zahid, J. Rayimbaev, N. Kurbonovet al., Eur. Phys. J. C84, 706 (2024)

  • [56]

    A. A. Abdujabbarov, A. A. Tursunov, B. J. Ahmedovet al., Astrophys. Space Sci.343, 173 (2013), arXiv: 1209.2680[gr-qc]

  • [57]

    N. Kurbonov, A. H. Bokhari, J. Rayimbaevet al., Eur. Phys. J. C85, 494 (2025)

  • [58]

    M. Zahid, S. U. Khan, and J. Ren, Chin. J. Phys.72, 575 (2021), arXiv: 2101.07673[gr-qc]

  • [59]

    J. M. Ladino, C. A. Benavides-Gallego, E. Larrañagaet al., Eur. Phys. J. C83, 989 (2023), arXiv: 2305.15350[gr-qc]

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