Statistical physics in deformed spaces with minimal length

Fityo, T.V.

doi:10.1016/j.physleta.2008.07.047

Cited by 86 publications

(119 citation statements)

References 44 publications

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“…We also point out that statistical mechanics in the case of the deformed commutation relations was considered in [45]. Let us examine equilibrium radiation caused by a black hole.…”

Section: Emission Rate Equation and Evaporation Time Of A Black Holementioning

confidence: 99%

Microscopic Black Hole and Uncertainty Principle With Minimal Length and Momentum

Stetsko

2013

Int. J. Mod. Phys. A

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We investigate a microscopic black hole in case of modified generalized uncertainty principle with a minimal uncertainty in position as well as in momentum. We calculate thermodynamical functions of a Schwarzschild black hole such as temperature, entropy and heat capacity. It is shown that incorporation of minimal uncertainty in momentum leads to minimal temperature of a black hole. Minimal temperature gives rise to appearance of a phase transition. Emission rate equation and black hole's evaporation time are also obtained.

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“…We also point out that statistical mechanics in the case of the deformed commutation relations was considered in [45]. Let us examine equilibrium radiation caused by a black hole.…”

Section: Emission Rate Equation and Evaporation Time Of A Black Holementioning

confidence: 99%

Microscopic Black Hole and Uncertainty Principle With Minimal Length and Momentum

Stetsko

2013

Int. J. Mod. Phys. A

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“…For instance, the ther-modynamics of the ideal gas and ultra-relativistic gas in micro-canonical ensemble in the GUP framework are studied in [14]. For harmonic oscillators and ideal gases in canonical ensembles with GUP see [15]. The deformed density matrix is studied in [16] and modified uncertainty relations for inverse temperature and internal energy are addressed in [17].…”

Section: Introductionmentioning

confidence: 99%

Some Details of Statistical Mechanics of Many-Body Systems in the Presence of a Measurable Minimal Length

Alizadeh

Nozari

2017

Acta Phys. Pol. A

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Different approaches to quantum gravity proposal such as string theory, doubly special relativity, and also black holes physics, all commonly address the existence of a minimal measurable length of the order of the Planck length. One way to apply the minimal length is changing the Heisenberg algebra in the phase space which is known as the generalized uncertainty principle. It is essential to apply this feature on the statistical mechanics of many body systems in the presence of a measurable minimal length scale in order to see the roles of this natural cutoff on physical phenomena. In this paper, some details of statistical mechanics of many body systems that have not been studied carefully in literature are studied in the presence of minimal length scale. The issues such as isomerization, the Liouville theorem, virial theorem and equipartition theorem are studied in this setup with details and the results are explained thoroughly.

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“…Recently a growing attraction [21][22][23] is noticed towards the effect of minimal length on statistical thermodynamics. Thermodynamics of photon gas has been investigated explicitly within the Magueijo-Smolin Lorentz invariant DSR model [24].…”

Section: Introductionmentioning

confidence: 99%

On Boundedness of Entropy of Photon Gas in Noncommutative Spacetime

Alam¹,

Faruk²

2017

Advances in High Energy Physics

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Entropy bound for the photon gas in a noncommutative (NC) spacetime where phase space is with compact spatial momentum space, previously studied by Nozari et al., has been reexamined with the correct distribution function. While Nozari et al. have employed Maxwell-Boltzmann distribution function to investigate thermodynamic properties of photon gas, we have employed the correct distribution function, that is, Bose-Einstein distribution function. No such entropy bound is observed if Bose-Einstein distribution is employed to solve the partition function. As a result, the reported analogy between thermodynamics of photon gas in such NC spacetime and Bekenstein-Hawking entropy of black holes should be disregarded.

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Statistical physics in deformed spaces with minimal length

Cited by 86 publications

References 44 publications

Microscopic Black Hole and Uncertainty Principle With Minimal Length and Momentum

Microscopic Black Hole and Uncertainty Principle With Minimal Length and Momentum

Some Details of Statistical Mechanics of Many-Body Systems in the Presence of a Measurable Minimal Length

On Boundedness of Entropy of Photon Gas in Noncommutative Spacetime

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