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This paper presents a quantified assessment of the physical layer securitycapabilities of reconfigurable intelligent surface (RIS)-aided wireless systemsunder eavesdropping. Specifically, we derive a closed-form expression for theergodic secrecy capacity (ESC) that is adaptable to different types of fadingand RIS size. The channels between the transmitter (TX) and RIS, the RIS andlegitimate receiver as well as the TX and eavesdropper are assumed to followindependent mixture Gamma (MG) distributions. Note that MG is capable ofmodeling a large variety of well-known distributions, including Gaussian,Rayleigh, Nakagami-m, Rice, and others. The results reveal that as the RIS sizeincreases, although the legitimate links diversity order increases, the ESCgain decreases.

On the Ergodic Secrecy Capacity of Reconfigurable Intelligent Surface Aided Wireless Systems Under Mixture Gamma Fading