Electric field fluctuations in conductors with spherical inclusions

• Probability distributions of electric field and potential are computed directly.
• Asymptotic analysis and statistics of these distributions were found.
• Distributions for electric field are independent of particle size distribution.
• Results are compared against known bounds on effective properties and variances.

Probability distributions of electric field and electric potential in two-phase particulate composite materials with spherical inclusions are found in the limit of small particle concentration.