Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 18 min ago
PreprintCC BY 4.0arXiv

Nonlocal Electrostatic Field Theory from Microscopic Description

  • Varazdat Stepanyan
  • Yevgeni Sh. Mamasakhlisov
  • Armen E. Allahverdyan
Open at sourcePDFDOICite

Abstract

The study of electric fields in soft materials converges either to the study of point-like particles (local) in nonlinear theories or to the use of particles with finite sizes in nonlocal linear theories. In this work, we start from the microscopic equations of motion and construct a unified mean field Fokker-Planck equation that describes the non-equilibrium electrostatics of nonlocal nonlinear systems. We obtain a generalized Poisson-Boltzmann equation for such systems, as well as their electrostatic free energy expression. In the linear approximation, we obtain an anisotropic susceptibility in an isotropic fluid, which allows for local linear response inversion in electrostatics.

Related

  1. Physics-based logarithmic description of electrostatic field enhancement in hemisphere-on-cylindrical-post structures for high-field applications
    Thiago A. de Assis, Fernando F. Dall-Agnol, Richard G. Forbes
    arXivPreprintarXiv licenceFull textAtmospheric science & meteorologyApplied physics & instrumentationarXiv
  2. Microscopic theory of the lower critical field in superconducting thin-film strips
    Takayuki Kubo
    arXivPreprintCC BY 4.0Full textCondensed matterarXiv
  3. On recent measurements of toponium threshold enhancement in entire-function-regulated nonlocal quantum field theory
    Ellis Thompson
    The European Physical Journal CPeer-reviewedCC BYFull text8 citedHigh-energy & particle physicsOpenAlex
  4. A microscopic stochastic field theory for nonlinear pomeron--odderon evolution based on a Doi--Peliti framework
    Anderson Kendi Kohara
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  5. Effective kinetic theory description of the magnetic field-induced anisotropic gluon pressure during pre-equilibrium in heavy-ion collisions
    Khwahish Kushwah, Alejandro Ayala, Gabriel S. Denicol +1
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsNuclear physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{stepanyan2026nonlocal,
  title = {{Nonlocal Electrostatic Field Theory from Microscopic Description}},
  author = {Varazdat Stepanyan and Yevgeni Sh. Mamasakhlisov and Armen E. Allahverdyan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.16429},
  eprint = {2607.16429},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.16429},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonlocal Electrostatic Field Theory from Microscopic Description
AU  - Varazdat Stepanyan
AU  - Yevgeni Sh. Mamasakhlisov
AU  - Armen E. Allahverdyan
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2607.16429
UR  - https://arxiv.org/abs/2607.16429
AB  - The study of electric fields in soft materials converges either to the study of point-like particles (local) in nonlinear theories or to the use of particles with finite sizes in nonlocal linear theories. In this work, we start from the microscopic equations of motion and construct a unified mean field Fokker-Planck equation that describes the non-equilibrium electrostatics of nonlocal nonlinear systems. We obtain a generalized Poisson-Boltzmann equation for such systems, as well as their electrostatic free energy expression. In the linear approximation, we obtain an anisotropic susceptibility in an isotropic fluid, which allows for local linear response inversion in electrostatics.
ER  -