Bifurcation of the equilibrium droplet geometry in electric field

On the stability of elastic nanoparticles

“…We follow the approach developed in Ref. 13 where stability of free charged liquid metal particles in the external electrical field was considered basing on free energy minimization. In early works of Rayleigh 10 and Zeleny 11 it was shown that the shape of a particle deformed by an external field is close to spheroidal.…”

“…i i It should be mentioned that hysteresis dependence β ( F , Q ) 13 is observed in the case of rigid particle similarly to the case of a liquid particle, but we will leave the discussion of this for the future. …”

“…So‐called Rayleigh instability corresponds to the excess of electrical charge energy over surface energy of a particle, and Taylor instability is caused by the excess of electrostatic energy of polarized particle over its surface energy. These two factors simultaneously influence nanoparticle stability and can be considered jointly 13. The problems of instability are usually considered for liquid particles, and, to our knowledge, there are no studies related to rigid nanoparticles embedded in solid (elastic) matrix.…”