When a neutral body comes in contact with a charged body, there is attraction. This is relatively easy to explain in terms of charged quanta.
A neutral body is only neutral in that it has no net charge. Everything is made up of electrons and protons, which again are made up of positive and negative quanta.
A charged surface will pull opposite charges towards it. The distribution of charges in the neutral surface becomes distorted. Attracting charges rise to the surface while repelling charges withdraw into the material.
With attracting charges closer to the charged surface than repelling charges, the net effect is attraction.
Each individual section of the neutral surface experiences either attraction or repulsion due to the charged surface. However, on average, the neutrinos inside the field will be of opposite charge due to the difference in distance between repelling and attracting sub-sections of the neutral surface. The majority of neutrinos collide abrasively, leave the field and produce low pressure.