Scaling limits and aging for asymmetric trap models on the complete   graph and K-processes
  We obtain scaling limit results for asymmetric trap models and their infinite volume counterparts, namely asymmetric K processes. Aging results for the latter processes are derived therefrom. 
S. C. Bezerra, L. R. G. Fontes, R. J. Gava, V. Gayrard, P. Mathieu
math.PR