Negative differential heat conductivity arises in a harmonic chain from coupling to an overdamped particle bath, causing steady-state heat current to vanish at large temperature differences due to temperature-dependent decoupling.
Peierls, Quantum theory of solids (Oxford University Press, 1955)
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Negative Differential Heat Conductivity in a Harmonic Chain Coupled to a Particle Reservoir
Negative differential heat conductivity arises in a harmonic chain from coupling to an overdamped particle bath, causing steady-state heat current to vanish at large temperature differences due to temperature-dependent decoupling.