Ruppeiner geometry of anyon gas

Mirza, Behrouz; Mohammadzadeh, Hosein

doi:10.1103/physreve.78.021127

Cited by 66 publications

(62 citation statements)

References 25 publications

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“…According to the statistical interpretation of the scalar curvature R symbol, we known that the scalar curvature is negative for the black hole system with the uncharged black hole molecules, while it is positive for that of charged black hole molecules. B.Mirza et.al argue that the scalar curvature is R > 0 for boson gas and it is R < 0 for fermion gas [42][43][44][45]. we find that the charged and uncharged molecules of black holes are with different microstructure which is like fermion gas and boson gas.…”

Section: Discussionmentioning

confidence: 57%

Microstructure and continuous phase transition of a Reissner-Nordstrom-AdS black hole

Guo

Zhang

et al. 2019

Phys. Rev. D

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As is well known that RN-AdS black hole has a phase transition which is similar to that of van der Waals system. The phase transition depends on the electric potential of the black hole and is not the one between a large black hole and a small black hole. On this basis, we introduce a new order parameter and use the Landau continuous phase transition theory to discuss the critical phenomenon of RN-AdS black hole and give the critical exponent. By constructing the binary fluid model of black hole molecules, we investigate the microstructure of black holes. Furthermore, by studying the effect of the spacetime scalar curvature on the phase transition, we find that the charged and uncharged molecules of black holes are with different microstructure red which is like fermion gas and boson gas.

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Section: Discussionmentioning

confidence: 57%

Microstructure and continuous phase transition of a Reissner-Nordstrom-AdS black hole

Guo

Zhang

et al. 2019

Phys. Rev. D

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“…At the same temperature R is divided into two parts, one representative φ 2 = From the Tables (III) and (IV), two curves of R will overlap at x = 1 with differential B c and ω. For anyon gas curvature scalar R >0 (or R < 0) means that the average interaction between particles is repulsive or attractive, while the average interaction is zero as R = 0 [5][6][7][8][78][79][80]. From the Tables (III) and (IV), we can find that 0 < R(r 2 ) < R(r 1 ), and think that the average attraction between the black hole molecules of phase 2 in black holes is less than phase 1.…”

Section: Thermdynamic Geometry Of Charged Adsq Black Holementioning

confidence: 99%

Continuous phase transition and microstructure of charged AdS black hole with quintessence

Guo

Zhang

et al. 2020

Eur. Phys. J. C

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First, Maxwell equal-area law was used to discuss the conditions satisfied by the phase transition of charged AdS black holes with cloud of string and quintessence, and it was concluded that black holes have phase transition similar to that of vdW system. The phase transition depends on the electric potential of the black hole and is not the one between a large black hole and a small black hole. On the basis of this result, we study the relation between the latent heat of phase transition and the parameter of dark energy, and use the landau continuous phase transition theory to discuss the critical phenomenon of the black hole with quintessence and give the critical exponent. By introducing the number density of black hole molecules, some properties of the microstructure of black holes are studied through phase transition.It is found that the electric charge of the black hole and the normalization parameter related to the density of quintessence field play a key role in phase transition. By constructing the binary fluid model of black hole molecules, we also discuss the microstructure of charged AdS black holes with cloud of string and quintessence.

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“…A interesting analysis concerns an anyon gas [28] with a parametric statistical distribution given by…”

Section: B Sign Of R and R = 0 Criterionmentioning

confidence: 99%

“…−R for an ideal anyon gas of particles obeying fractional statistics as a function of the parameter α that specifies the particle content: α = 0 corresponds to bosons, α = 1 to fermions, and 0 < α < 1 to intermediate statistics. The dot-dashed line is for the classical limit and the continuous one shows the change in R due to non-classical behavior.Figure from[28], where their scalar curvature corresponds to −R with our definition.…”

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confidence: 99%

Thermodynamic geometry of strongly interacting matter

2018

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The thermodynamic geometry formalism is applied to strongly interacting matter to estimate the deconfinement temperature. The curved thermodynamic metric for Quantum Chromodynamics (QCD) is evaluated on the basis of lattice data, whereas the hadron resonance gas model is used for the hadronic sector. Since the deconfinement transition is a crossover, the geometric criterion used to define the (pseudo-)critical temperature, as a function of the baryonchemical potential µ B , is R(T, µ B ) = 0, where R is the scalar curvature. The (pseudo-)critical temperature, T c , resulting from QCD thermodynamic geometry is in good agreement with lattice and phenomenological freeze-out temperature estimates. The crossing temperature, T h , evaluated by the hadron resonance gas, which suffers of some model dependence, is larger than T c (about 20%) signaling remnants of confinement above the transition.PACS numbers:

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Ruppeiner geometry of anyon gas

Cited by 66 publications

References 25 publications

Microstructure and continuous phase transition of a Reissner-Nordstrom-AdS black hole

Microstructure and continuous phase transition of a Reissner-Nordstrom-AdS black hole

Continuous phase transition and microstructure of charged AdS black hole with quintessence

Thermodynamic geometry of strongly interacting matter

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