Entropic force between two horizons of dilaton black holes with a power-Maxwell field *

In this paper, we consider $(n+1)$-dimensional topological dilaton de Sitter black holes with power-Maxwell field as thermodynamic systems. The quantities corresponding to the hole horizon and cosmological respectively are interrelated. So total entropy of space-time should be sum entropies plus a corrected term which is produced by association two horizons. We analyze entropic force at given temperatures, affected parameters dimensions space-time. It shown that change position ratio horizons in some region similar Lennard-Jones particles. If effect force, other forces absent, motion relative would have an oscillating process. between probably one participants drive evolution universe.