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Geometric formulation of state-dependent Langevin dynamics using scalar free energy

Yasuda, Kento et al.
arXiv (OAI Expanded) · Papers
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soft-condensed-matterstatistical-mechanics
Stochastic dynamics with state-dependent diffusion arise broadly in confined, anisotropic, and hydrodynamically coupled systems. The conventional Langevin equation contains a spurious drift associated with multiplicative noise. Since the restricted free energy is generally non-scalar, the covariance
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