A rigorous asymptotic derivation shows that heat generation in plasmonic nanoparticle clusters obeys a coupled Volterra and Foldy-Lax system, which becomes an effective parabolic equation driven by a homogenized Maxwell field in the many-particle limit.
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Effective Medium Theory for Heat Generation Using Plasmonics: A Parabolic Transmission Problem Driven by the Maxwell System
A rigorous asymptotic derivation shows that heat generation in plasmonic nanoparticle clusters obeys a coupled Volterra and Foldy-Lax system, which becomes an effective parabolic equation driven by a homogenized Maxwell field in the many-particle limit.