I would need a little more information about your system in order to answer the question properly... there are various things that can lead to peak separations of less than 59 mV in cyclic voltammetry, such as redox-active surface-bound species, for example.
You will need to provide more information about your voltammetric system. What is your redox couple and how many electrons are been transferred in the process? For a one-electron transfer, a reversible system will exhibit a peak separation of 59 mV. For a two-electron transfer, the separation will be approximately 30 mV. Information about your working electrode will also help since the possibility of a thin layer effect and/or adsorption effect can also result in a small peak separation.
Is this solution electrochemistry or surfaces ?? It differs a lot between two cases. For an ideal reversible process it should be 59 and 0 mV for for diffusion and diffusionless process respectively provide its a single electron transfer process.
I agree with Prakash, Juan, Isaiah, and Daniela. However, another criteria for reversibility is the peak current ratio. If the ratio of ipa/ipc =1, then the electrochemical process is reversible.
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