Monte-Carlo determination of adiabatic compressibility of hard spheres

Grigoriev, A.N.; Kleshchonok, T. V.; Markov, Ivan; Булавин, Л. А.

doi:10.1080/08927022.2020.1789124

Cited by 5 publications

(5 citation statements)

References 21 publications

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“…As far as we are aware, the isoenthalpic-isobaric ensemble [68][69][70][71] has not been discussed extensively even in statistical mechanics literature. However, it finds application in molecular dynamics simulations [72,73]. We will follow the framework put up in [69,70] in our subsequent discussion.…”

Section: Isoenthalpic-isobaric Ensemblementioning

confidence: 99%

Statistical ensembles and logarithmic corrections to black hole entropy

Ghosh

2023

Class. Quantum Grav.

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In this paper, we consider general statistical ensembles and compute logarithmic corrections to the microcanonical entropy resulting due to thermodynamic fluctuations which are controlled by the boundary conditions, i.e. due to choice of ensemble. The framework is applied to the case of non-extremal black holes to give certain logarithmic corrections to the Bekenstein-Hawking entropy. We argue that within the framework of black hole chemistry, where the cosmological constant is identified with bulk pressure, the isoenthalpic-isobaric entropy rather than microcanonical entropy carries a more natural and consistent thermodynamic interpretation as black hole entropy. Logarithmic corrections to both microcanonical and isoenthalpic-isobaric entropies of black holes are computed, and we show that the latter set of corrections in black hole chemistry are of the same form as corrections to the microcanonical entropy in theories where the cosmological constant is not interpreted as a thermodynamic pressure. Finally, we compute logarithmic corrections to entropy in the framework of holographic black hole chemistry. We emphasize upon the choice of statistical ensemble, both in the bulk and on the boundary, in order to have a consistent comparison between them. The corrections studied in this paper are distinct from those obtained from Euclidean quantum gravity and shall be present even when the latter are absent.

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Section: Isoenthalpic-isobaric Ensemblementioning

confidence: 99%

Statistical ensembles and logarithmic corrections to black hole entropy

Ghosh

2023

Class. Quantum Grav.

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“…As far as we are aware, the isoenthalpic-isobaric ensemble [68,69,70,71] has not been discussed extensively even in statistical mechanics literature. However, it finds application in molecular dynamics simulations [72,73]. We will follow the framework put up in [69,70] in our subsequent discussion.…”

Section: Isoenthalpic-isobaric Ensemblementioning

confidence: 99%

Novel logarithmic corrections to black hole entropy

Ghosh¹,

Mukherji²,

Bhamidipati³

2022

Class. Quantum Grav.

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For a thermodynamic system, apart from thermal fluctuations, there are also fluctuations in thermodynamic volume when the system is in contact with a volume reservoir. For the case of black holes in anti de Sitter spacetime, the effect of thermal fluctuations on the entropy is well studied. The aim of this work is to compute novel logarithmic corrections to black hole entropy coming from simultaneous fluctuations in energy and volume. We work in the isothermal-isobaric ensemble and first obtain a general form of corrections to entropy which are valid for any thermodynamic system. Applying the formalism to Kerr black holes in AdS reveals that entropy gets corrected as: \(\mathcal{S} = S_0 - k \ln S_0 + \cdots\) where \(S_0\) is given by the Bekenstein-Hawking formula and \(k = - 1\). The same leading coefficient is also obtained in the canonical ensemble, i.e. by considering energy fluctuations alone. This coefficient is found to be unaltered in the slowly rotating and high temperature limits.

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“…Figure 5 depicts the calculation results compared with the recent MC simulation data (Grigoriev et al, 2020) 25 .…”

Section: Eosmentioning

confidence: 99%

“…Figure 5. Isothermal compressibility of the hard sphere fluid.The MC simulation data are from Ref 25. .…”

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confidence: 99%

Carnahan-Starling type equations of state for stable hard disk and hard sphere fluids

Liu

2021

Molecular Physics

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The well-known Carnahan-Starling (CS) equation of state (EoS) 1 for the hard sphere (HS) fluid was derived from a quadratic relation between the integer portions of the virial coefficients, 𝐵 , , and their orders, 𝑛. Here we extend the method to the full virial coefficients 𝐵 for the general D-dimensional case. We assume a polynomial function of (D-1) th order for the virial coefficients starting from 𝑛 = 4 and EoS's are derived from it. For the hard rob (D=1) case, the exact solution is obtained. For the stable hard disk fluid (D=2), the most recent virial coefficients up to the 10 th 2 and accurate compressibility data 3,4 are employed to construct and test the EoS. For the stable hard sphere (D=3) fluid, a new CS-type EoS is constructed and tested with the most recent virial coefficients 5,2 up to the 11 th and with the highly-accurate simulation data for compressibility [6][7][8] . The simple new EoS's turn out to be as accurate as the highest-level Padé approximations based on all available virial coefficients, and significantly improve the CS-type EoS in the hard sphere case. We also shown that as long as the virial coefficients obey a polynomial function any EoS derived from it will diverge at the non-physical packing fraction, 𝜂 = 1.

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Monte-Carlo determination of adiabatic compressibility of hard spheres

Cited by 5 publications

References 21 publications

Statistical ensembles and logarithmic corrections to black hole entropy

Statistical ensembles and logarithmic corrections to black hole entropy

Novel logarithmic corrections to black hole entropy

Carnahan-Starling type equations of state for stable hard disk and hard sphere fluids

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