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A diagrammatic technic is presented which is appropriate to study the nonlinear response of the collision dominated solid state plasma to randomly phased ac fields. By summation of diagrams, a nonlinear integral equation is established for the propagator S′ which is directly related to the nonlinear response function. Using the equation for S′, an equivalence is derived between a model solution in the theory of nonlinear coherent ultrasound amplification and the interaction theory of a great number of randomly phased vibrational modes, confined to a small frequency band.

Interaction of Randomly Phased Vibrational Waves via the Collision Dominated Solid State Plasma