Thermodynamics and an Introduction to Thermostatistics, 2nd ed.

Callen, Herbert B.; Scott, H. L.

doi:10.1119/1.19071

Cited by 381 publications

(640 citation statements)

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“…As σ is turned on, the length and energy curves are reminiscent of van der Waals isotherms for a statistical system with u 0 , L and E corresponding to volume, pressure and Gibbs potential respectively (see e.g. [37]). In particular, there exists a critical value of σ, given by σ (y) cr ≃ 0.209 (found analytically in [31]), below which the system behaves like the statistical system at T < T cr (Fig.…”

Section: The Spherementioning

confidence: 99%

Stability of string configurations dual to quarkonium states in AdS/CFT

2008

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We extend our earlier work, regarding the perturbative stability of string configurations used for computing the interaction potential of heavy quarks within the gauge/gravity correspondence, to cover a more general class of gravity duals. We provide results, mostly based on analytic methods and corroborated by numerical calculations, which apply to strings in a general class of backgrounds that encompass boosted, spinning and marginally-deformed D3-brane backgrounds. For the case of spinning branes we demonstrate in a few examples that perturbative stability of strings may require strong conditions complementing those following by thermodynamic stability of the dual field theories. For marginally-deformed backgrounds, we find that even in the conformal case stability requires an upper value for the imaginary part σ of the deformation parameter, whereas in regions of the Coulomb branch where there exists linear confinement we find that there exist stable string configurations for certain ranges of values of the parameter σ. We finally discuss the case of open strings with fixed endpoints propagating in Rindler space, which turns out to have an exact classical-mechanical analog.

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Section: The Spherementioning

confidence: 99%

Stability of string configurations dual to quarkonium states in AdS/CFT

2008

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“…Let us first remind you of some basic relations concerning with Massieu's potential [4] in the standard BG thermostatistics. Massieu's potential Φ is defined as the Legendre transform of the standard BG entropy S(U) which is a function of internal energy U,…”

Section: Generalized Massieu Potential and Associated Legendre Structmentioning

confidence: 99%

“…It is found that the standard linear average energy U (1) and the normalized q-average energy U (3) q are related to each other as well as the corresponding Lagrange multipliers. In section 4, following the method used by Naudts to obtain the generalized free-energy [24,25], we obtain a generalization of the Massieu's potential [4] associated to the different formalisms. The final section is devoted to our conclusion.…”

Section: Introductionmentioning

confidence: 99%

“…Nowadays Tsallis' thermostatistics [1,2,3] is considered as one of the generalizations of the standard thermostatistics [4] based on the Tsallis entropy S q ≡ i (p i − p q i )/(q − 1), where p i stands for a probability of i-th state and q is a real parameter. For the sake of simplicity the Boltzmann constant is set to unity throughout this paper.…”

Section: Introductionmentioning

confidence: 99%

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Connections between Tsallis' formalisms employing the standard linear average energy and ones employing the normalized q-average energy

Wada

Scarfone

2005

Physics Letters A

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Connections between Tsallis' formalisms employing the standard linear average energy and ones employing the normalized q-average energy Abstract Tsallis' thermostatistics with the standard linear average energy is revisited by employing S 2−q , which is the Tsallis entropy with q replaced by 2 − q. We explore the connections among the S 2−q approach and the other different versions of Tsallis formalisms. It is shown that the normalized q-average energy and the standard linear average energy are related to each other. The relations among the Lagrange multipliers of the different versions are revealed. The relevant Legendre transform structures concerning the Lagrange multipliers associated with the normalization of probability are studied. It is shown that the generalized Massieu potential associated with S 2−q and the linear average energy is related to one associated with the normalized Tsallis entropy and the normalized q-average energy.

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“…The sorption isotherm model presented in this study is constructed by minimizing the Grand Canonical (GC) thermodynamic potential for the carbon surface interacting with an external gas source [43,44]. Given a surface with n sites of type A, a single Cs or O2 atom occupies only one single site A in carbon, while a single Cs2O molecule occupies two sites A--A.…”

Section: Dft Based Sorption Isothermsmentioning

confidence: 99%