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We study the dynamics of a spin facilitated Ising model with long range kinetic constraints. To formulate those restrictions within an analytical approach we introduce the size of a kinetic active environment of a given spin. Based on a master equation in second quantized form, the spin-autocorrelation function is calculated. It exhibits a pronounced slow dynamics, manifested by a logarithmic decay...
A mesoscopic evolution equation for the density of random walkers is derived under exclusive dynamics and an additional interaction between the walkers. In lowest order of a gradient expansion we get a nonlinear transport equation of Kardar-Parisi-Zhang type with transport coefficients depending on the density itself and on the ratio of interaction strength and temperature. In case of an attractive...
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