If the size of the particle increases electrochemical capacitance decreases but in my research if size increases specific capacitance of the material also increases. why it is so???
You do not state what the particle is! It is therefore quite difficult to provide a good answer.
Generally speaking, the porosity of your final material will be affected by the particle size. However, what is your final material? For example, is it a composite, with a filler? Is the particle conductive? Is the particle redox active? What is the density of the particle? Is the particle itself porous? Of course, in terms of calculating the specific capacity (F.g-1), and depending on how the density of the particle scales with its size, this may be the critical factor.
Then, how do you treat your final material? Do you perform any mechanical compression? Or electrochemical pre-treatment?
Furthermore, what electrolyte are you using? For very high concentrations the Debye length will be small and therefore the electric double layer (EDL) will be more compact. Depending on the pore size you may find a "sweet spot". The types of ions (e.g., size and charge) may also have an effect, particularly on the transient charge/discharge behaviour of a non-Faradaic (based on EDL) electrochemical capacitor. If it is a Faradaic electrochemical capacitor, where are the redox-active sites on the particle? Are they all accessible as the size of the particle changes? What solvent are you using? Again, maybe the final material's stability in the solvent is dependent on the particle size.