Under diffusive scaling, the empirical density of the generalized KMP, discrete KMP, and harmonic models converges to the solution of the heat equation with a model-dependent diffusion coefficient.
Non-compactquantumspinchainsasintegrable stochastic particle processes.Journal of Statistical Physics, 180(1):135–171, 2020
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Hydrodynamic limit for some gradient and attractive spin models
Under diffusive scaling, the empirical density of the generalized KMP, discrete KMP, and harmonic models converges to the solution of the heat equation with a model-dependent diffusion coefficient.