“…Trans-Hawking versions of Hawking radiation, either as reformulations of the physics, or as alternative scenarios [62, 120, 222, 223, 257, 266, 278, 279, 280, 384, 478, 480, 530, 536, 541, 542, 549, 550, 567, 591]. …”
Section: Phenomenology Of Analogue Modelsmentioning
Analogue gravity is a research programme which investigates analogues of general relativistic gravitational fields within other physical systems, typically but not exclusively condensed matter systems, with the aim of gaining new insights into their corresponding problems. Analogue models of (and for) gravity have a long and distinguished history dating back to the earliest years of general relativity. In this review article we will discuss the history, aims, results, and future prospects for the various analogue models. We start the discussion by presenting a particularly simple example of an analogue model, before exploring the rich history and complex tapestry of models discussed in the literature. The last decade in particular has seen a remarkable and sustained development of analogue gravity ideas, leading to some hundreds of published articles, a workshop, two books, and this review article. Future prospects for the analogue gravity programme also look promising, both on the experimental front (where technology is rapidly advancing) and on the theoretical front (where variants of analogue models can be used as a springboard for radical attacks on the problem of quantum gravity).
“…Trans-Hawking versions of Hawking radiation, either as reformulations of the physics, or as alternative scenarios [62, 120, 222, 223, 257, 266, 278, 279, 280, 384, 478, 480, 530, 536, 541, 542, 549, 550, 567, 591]. …”
Section: Phenomenology Of Analogue Modelsmentioning
Analogue gravity is a research programme which investigates analogues of general relativistic gravitational fields within other physical systems, typically but not exclusively condensed matter systems, with the aim of gaining new insights into their corresponding problems. Analogue models of (and for) gravity have a long and distinguished history dating back to the earliest years of general relativity. In this review article we will discuss the history, aims, results, and future prospects for the various analogue models. We start the discussion by presenting a particularly simple example of an analogue model, before exploring the rich history and complex tapestry of models discussed in the literature. The last decade in particular has seen a remarkable and sustained development of analogue gravity ideas, leading to some hundreds of published articles, a workshop, two books, and this review article. Future prospects for the analogue gravity programme also look promising, both on the experimental front (where technology is rapidly advancing) and on the theoretical front (where variants of analogue models can be used as a springboard for radical attacks on the problem of quantum gravity).
“…Trans-Hawking versions of Hawking radiation, either as reformulations of the physics, or as alternative scenarios [30, 68, 130, 131, 150, 156, 167, 168, 169, 233, 289, 291, 325, 329, 333, 334, 340, 341, 350, 364]. …”
Analogue models of (and for) gravity have a long and distinguished history dating back to the earliest years of general relativity. In this review article we will discuss the history, aims, results, and future prospects for the various analogue models. We start the discussion by presenting a particularly simple example of an analogue model, before exploring the rich history and complex tapestry of models discussed in the literature. The last decade in particular has seen a remarkable and sustained development of analogue gravity ideas, leading to some hundreds of published articles, a workshop, two books, and this review article. Future prospects for the analogue gravity programme also look promising, both on the experimental front (where technology is rapidly advancing) and on the theoretical front (where variants of analogue models can be used as a springboard for radical attacks on the problem of quantum gravity).
“…Instead, it has the maximum value at this point and becomes zero at M = M IR1 . In order to study the phase transition explicitly, let us introduce the off-shell free energy, which plays a role of effective potential in the canonical ensemble, as follows [12,17,19,20]:…”
Section: Ir System: Schwarzschild Black Hole In a Cavitymentioning
confidence: 99%
“…We call the phase transition between thermal radiation and the large black hole in a cavity as the well-defined Gross-Perry-Yaffe (WGPY) transition 1 . The WGPY transition could be checked by observing the heat capacity and free energy [17]. Our work is based on the first law of dE = T dS rather than dM = T dS.…”
We apply the generalized uncertainty principle to the thermodynamics of a small black hole. Here we have a black hole system with the UV cutoff. It is shown that the minimal length induced by the GUP interrupts the Gross-Perry-Yaffe phase transition for a small black hole. In order to see whether the black hole remnant takes place a transition to a large black hole, we introduce a black hole in a cavity (IR system). However, we fail to show the phase transition of the remnant to the large black hole.
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