Perturbation response, anomalous diffusion

VII. Dynamic Approach to Anomalous Diffusion Response to Perturbation... 

As a step toward the study of thermodynamic equilibrium in the case of anomalous statistical physics, in Section VII we study how the generators of anomalous diffusion respond to external perturbation. The ordinary linear response theory is violated and, in some conditions, is replaced by a different kind of linear response. In Section VIII we review the results of an ambitious attempt at deriving thermodynamics from dynamics for the main purpose of exploring a dynamic approach to the still unsettled issue of the thermodynamics of Levy statistics. The Levy walk perspective seems to be the only possible way to establish a satisfactory connection between dynamics and thermodynamics in... 

VII. DYNAMIC APPROACH TO ANOMALOUS DIFFUSION RESPONSE TO PERTURBATION... 

This review is devoted to illustrating the problems that the processes of anomalous diffusion, of renewal nature, are raising in the adaptation of the traditional prescriptions of nonequilibrium statistical physics. In this section we explore the delicate issue of the response to external perturbations. 

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