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- W3098202147 abstract "In this paper, $n$-dimensional ($n=4p, p$ is a positive integer) $f(R)$-AdS black holes is divided into Schwazschild-AdS (SAdS) like ones and Reissner-Nordstr{o}m-AdS (RN-AdS) like ones. Thermodynamical stability of them in grand canonical ensemble is investigated. Locally, we find that the RN-AdS like $f(R)$ black holes will experience either type-one or type-two phase transitions from unstable states to stable states, whereas there are only type-two phase transitions between that two states for SAdS like $f(R)$ black holes. Globally, we find that there are type-one Hawking-Page like phase transitions between thermal AdS state and $f(R)$ black holes. Using thermodynamical geometry method, we find that thermodynamical extrinsic curvature can only provide accurate stability information near type-two (not type-one) phase transition points for $f(R)$ black holes in grand canonical ensemble." @default.
- W3098202147 created "2020-11-23" @default.
- W3098202147 creator A5045782856 @default.
- W3098202147 date "2019-01-01" @default.
- W3098202147 modified "2023-09-29" @default.
- W3098202147 title "Thermodynamical stability of f(R)-AdS black holes in grand canonical ensemble" @default.
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- W3098202147 doi "https://doi.org/10.1007/s10714-018-2491-0" @default.
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