A particle linearly coupled to a Gaussian field acquires nonlinear, non-Markovian effective dynamics with a generalized fluctuation-dissipation theorem, producing critical spectral singularities, driven oscillations, dipolar heat patterns, and anomalous self-chemotactic diffusion.
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Stochastic dynamics of particles in correlated fields
A particle linearly coupled to a Gaussian field acquires nonlinear, non-Markovian effective dynamics with a generalized fluctuation-dissipation theorem, producing critical spectral singularities, driven oscillations, dipolar heat patterns, and anomalous self-chemotactic diffusion.