Archive for Rational Mechanics and Analysis

, Volume 180, Issue 3, pp 493–506 | Cite as

Screening in Interacting Particle Systems

  • B. Niethammer
  • J.J.L. Velázquez


We consider the Green's function of the Laplace operator in domains with spherical holes (particles). Under natural assumptions on the distribution of particles we show that the Green's function decays exponentially over distances larger than the screening length. This result is fundamental for example when deriving effective equations for coarsening systems in unbounded domains.


Neural Network Complex System Nonlinear Dynamics Electromagnetism Laplace Operator 
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© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Institut für MathematikHumboldt Universität zu BerlinBerlinGermany
  2. 2.Departamento de Matemática Aplicada Facultad de MatemáticasUniversidad ComplutenseMadridSpain

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