| Abstract: |
| We present a formulation of stochastic thermodynamics to describe transport phenomena in networks of nonlinear oscillators described by complex-valued Langevin equations, that account for coupling to different thermochemical baths. Dissipation is introduced via non- Hermitian terms in the Hamiltonian of the model. The stochastic thermodynamics formalism is applied to compute explicit expressions for the entropy production rates. We discuss in particular the nonequilibrium steady states of the network characterized by a constant production rate of entropy and flows of energy and particle currents. For some specific examples, a one-dimensional chain, a dimer, and a network of seven oscillators, numerical calculations are presented. The role of asymmetric coupling among the oscillators on the entropy production is illustrated. Possible applications to physical system and information processing with neural networks are also discussed. |
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