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In this paper, we study topological AdS black branes of $(n+1)$-dimensionalEinstein-Maxwell-dilaton theory and investigate their properties. We use thearea law, surface gravity and Gauss law interpretations to find entropy,temperature and electrical charge, respectively. We also employ the modifiedBrown and York subtraction method to calculate the quasilocal mass of thesolutions. We obtain a Smarr-type formula for the mass as a function of theentropy and the charge, compute the temperature and the electric potentialthrough the Smarr-type formula and show that these thermodynamic quantitiescoincide with their values which are calculated through using the geometry.Finally, we perform a stability analysis in the canonical ensemble andinvestigate the effects of the dilaton field and the size of black brane on thethermal stability of the solutions. We find that large black branes are stablebut for small black brane, depending on the value of dilaton field and type ofhorizon, we encounter with some unstable phases.

Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity