Abstract
In order to perform analytical investigations in the heat flow problem starting from microscopic models, we develop a method for the study of anharmonic chains of oscillators with stochastic baths. To make treatable the nonlinear dynamics, we approximate an intricate rate for the time evolution by its average value. We use the developed formalism to understand the on-set of negative differential thermal conductivity in these chains of oscillators. We compute a detailed expression for the heat flow and establish a regime in which the phenomenon holds. Such regime is completely characterized by relations between the parameters of the model (e.g., interparticle interaction and on-site potential strengths) and the temperature gradient – no further restriction, such as boundary condition, is assumed.
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