{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,7]],"date-time":"2025-05-07T00:29:31Z","timestamp":1746577771562,"version":"3.37.3"},"reference-count":52,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,19]],"date-time":"2023-04-19T00:00:00Z","timestamp":1681862400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["12075143"]},{"name":"Science Technology Plan Project of Datong City, China","award":["2020153"]},{"name":"Science Foundation of Shanxi Datong University","award":["2022Q1"]},{"name":"Teaching Reform Project of Shanxi Datong University","award":["XJG2022234"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"We consider the thermodynamics of the Einstein-power-Yang\u2013Mills AdS black holes in the context of the gauge-gravity duality. Under this framework, Newton\u2019s gravitational constant and the cosmological constant are varied in the system. We rewrite the thermodynamic first law in a more extended form containing both the pressure and the central charge of the dual conformal field theory, i.e., the restricted phase transition formula. A novel phenomena arises: the dual quantity of pressure is the effective volume, not the geometric one. That leads to a new behavior of the Van de Waals-like phase transition for this system with the fixed central charge: the supercritical phase transition. From the Ehrenfest\u2019s scheme perspective, we check out the second-order phase transition of the EPYM AdS black hole. Furthermore the effect of the non-linear Yang\u2013Mills parameter on these thermodynamic properties is also investigated.<\/jats:p>","DOI":"10.3390\/e25040687","type":"journal-article","created":{"date-parts":[[2023,4,20]],"date-time":"2023-04-20T07:25:11Z","timestamp":1681975511000},"page":"687","source":"Crossref","is-referenced-by-count":10,"title":["Restricted Phase Space Thermodynamics of Einstein-Power-Yang\u2013Mills AdS Black Hole"],"prefix":"10.3390","volume":"25","author":[{"given":"Yun-Zhi","family":"Du","sequence":"first","affiliation":[{"name":"Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China"}]},{"given":"Huai-Fan","family":"Li","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China"}]},{"given":"Yang","family":"Zhang","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China"}]},{"given":"Xiang-Nan","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Physics and Information Engineering, Shanxi Normal University, Taiyuan 030619, China"}]},{"given":"Jun-Xin","family":"Zhao","sequence":"additional","affiliation":[{"name":"China Citik Bank, Beijing 100000, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"231","DOI":"10.4310\/ATMP.1998.v2.n2.a1","article-title":"The large N limit of superconformal field theories and supergravity","volume":"2","author":"Maldacena","year":"1998","journal-title":"Adv. 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