  In this paper, we apply the new Gedanken experiment to investigate the weak
cosmic censorship conjecture for Reissner-Nordstr\"om AdS black holes
surrounded by quintessence. Since the perturbation of matter fields doesn't
affect the spacetime geometry, we propose the stability condition and assume
the process of matter fields falling into the black hole satisfies the null
energy condition. Based on Iyer-Wald formalism we can derive the first order
and second-order variational identities. From the two identities and the above
two conditions lead to the first-order and second-order perturbation
inequalities, and under the second-order approximation of matter fields
perturbation, we find that the weak cosmic censorship conjecture is still
satisfied.
