2015
DOI: 10.1103/physrevd.91.044037
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Thermodynamic phase transition based on the nonsingular temperature

Abstract: The Hawking temperature for the Schwarzschild black hole is divergent when the mass of the black hole vanishes; however, the corresponding geometry becomes the Minkowski spacetime whose intrinsic temperature is zero. In connection with this issue, we construct a nonsingular temperature which follows the Hawking temperature for the large black hole, while it vanishes when the black hole is completely evaporated. For the thermodynamic significances of this modified temperature, we calculate thermodynamic quantit… Show more

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Cited by 9 publications
(7 citation statements)
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“…Since the modified Hawking temperature T modified H and its corresponding thermodynamic phase transition have been studied in detail in Refs. [49][50][51], we only focus on the Eq. ( 14) and its corresponding thermodynamic phase transition in upcoming contents.…”
Section: The Modified Thermodynamics Of Schwarzschild Black Hole In T...mentioning
confidence: 99%
“…Since the modified Hawking temperature T modified H and its corresponding thermodynamic phase transition have been studied in detail in Refs. [49][50][51], we only focus on the Eq. ( 14) and its corresponding thermodynamic phase transition in upcoming contents.…”
Section: The Modified Thermodynamics Of Schwarzschild Black Hole In T...mentioning
confidence: 99%
“…Next, let us calculate the free energy of the black hole in order to study phase transition between the black holes and the hot flat space [24,28].…”
Section: The Critical Effective In Charged Black Hole In Cavitymentioning
confidence: 99%
“…We will keep the charge inside the cavity also fixed. This will define a canonical ensemble [23][24][25][26][27][28]. We will study the phase structure and the thermodynamic properties of the various dimensional charged black hole in this ensemble.…”
Section: Introductionmentioning
confidence: 99%
“…Utilizing the method described above, the literature [26][27][28][29][30][31][32] have studied the charged black hole and black branes, obtained the requirements to meet the thermodynamic equilibrium conditions, and discussed the phase transition and critical phenomena. More recently, Eune et al (2015) investigated the phase transition based on the corrections of Schwarzschild black hole radiation temperature [33]. More specifically, both of the charged black hole and the radiation field outside the black hole were considered in their work, under the condition that they are both in the equilibrium state.…”
Section: Introductionmentioning
confidence: 99%