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We analyze energy spreading for a system that features mixed chaoticphase-space, whose control parameters (or slow degrees of freedom) varyquasi-statically. For demonstration purpose we consider the restricted 3~bodyproblem, where the distance between the two central stars is modulated due totheir Kepler motion. If the system featured hard-chaos, one would expectdiffusive spreading with coefficient that can be estimated usinglinear-response (Kubo) theory. But for mixed phase space the chaotic sea ismulti-layered. Consequently, it becomes a challenge to find a robust procedurethat translates the sticky dynamics into a stochastic model. We propose aPoincar\'e-sequencing method that reduces the multi-dimensional motion into aone-dimensional random-walk in impact-space. We test the implied relationbetween stickiness and the rate of spreading.

Stochastic modeling of spreading and dissipation in mixed-chaotic systems that are driven quasistatically