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In this paper, we apply the new Gedanken experiment to investigate the weakcosmic censorship conjecture for Reissner-Nordstr\"om AdS black holessurrounded by quintessence. Since the perturbation of matter fields doesn'taffect the spacetime geometry, we propose the stability condition and assumethe process of matter fields falling into the black hole satisfies the nullenergy condition. Based on Iyer-Wald formalism we can derive the first orderand second-order variational identities. From the two identities and the abovetwo conditions lead to the first-order and second-order perturbationinequalities, and under the second-order approximation of matter fieldsperturbation, we find that the weak cosmic censorship conjecture is stillsatisfied.

New Gedanken experiment on Reissner-Nordstr\"om AdS Black Holes surrounded by quintessence