Movement and localization of nanoparticles in an ideal liquid under the influence of the gradient force of light pressure

A theoretical analysis of the qualitative behavior of solutions to the Langevin equation for the motion of a spherical dielectric nanoparticle located in an interference field formed by the superposition of oncoming laser beams under the action of a gradient force without taking into account the resistance force of the medium is carried out. It is shown that, depending on the initial conditions, two different modes of movement of nanoparticles are possible – localization of nanoparticles in one of the maxima of the interference pattern of radiation or unlimited distance from the initial position within the interference field.