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Pogliani, Lionello; Berberan‐Santos, Mário Nuno

doi:10.1023/a:1018834326958

Cited by 43 publications

(18 citation statements)

References 24 publications

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“…The state of a system is defined by the small set of parameters (E, X). The external parameters X may be directly measured, but the internal energy E is defined by the work done in adiabatic processes (see for example [6][7][8]). The basic ingredient in any thermodynamic considerations is the existence of equilibrium states.…”

Section: Thermodynamicsmentioning

confidence: 99%

“…We employ the Carathéodory formulation of the second principle of thermodynamics [7,8], i.e. "in the neighborhood of any equilibrium state of a system (of any number of thermodynamic coordinates), there exist states that are inaccessible by reversible adiabatic processes."…”

Section: Thermodynamicsmentioning

confidence: 99%

“…If ν(E, X) < 0, then T B (E, X) < 0. Therefore for the system of spins described by (8), T Bs > 0 for E ∈ [0, BμN 0 /2), T Bs < 0 for E ∈ (BμN 0 /2, BμN 0 ], and T Bs (BμN 0 /2) = ±∞ is undefined. On the other hand, the temperature of the ideal gas T Bid is positive for any E (and is the same as T Gid in the thermodynamic limit).…”

Section: The Boltzmann Entropymentioning

confidence: 99%

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The Stumbling Block of the Gibbs Entropy: the Reality of the Negative Absolute Temperatures

Anghel

2016

EPJ Web of Conferences

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Abstract. The second Tisza-Callen postulate of equilibrium thermodynamics states that for any system there exists a function of the system extensive parameters, called entropy, defined for all equilibrium states and having the property that the values assumed by the extensive parameters in the absence of a constraint are those that maximize the entropy over the manifold of constrained equilibrium states. Based on the thermodynamic evolution of systems which (in the Boltzmann description) have positive and negative temperatures, we show that this postulate is satisfied by the Boltzmann formula for the entropy and may be violated by the Gibbs formula, therefore invalidating the later. Vice versa, if we assume, by reductio ad absurdum, that for some thermodynamic systems the equilibrium state is determined by the Gibbs' prescription and not by Boltzmann's, this implies that such systems have macroscopic fluctuations and therefore do not reach the thermodynamic equilibrium.

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Section: Thermodynamicsmentioning

confidence: 99%

Section: Thermodynamicsmentioning

confidence: 99%

Section: The Boltzmann Entropymentioning

confidence: 99%

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The Stumbling Block of the Gibbs Entropy: the Reality of the Negative Absolute Temperatures

Anghel

2016

EPJ Web of Conferences

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“…Its tremendous impact is highlighted in biology to describe phenomena at macroscopic (organs and tissues), mesoscopic (cells and cell structures) and nanometric (DNA and proteins) scales. Thermodynamics is a highly applicable physical science because its axiomatic thermodynamics, initially proposed by Carathéodory in 1909 [2] and later developed by Callen in 1985 [3], detail the state of equilibrium (zeroth law), the conservation of energy in terms of work and heat (first law), the growth of entropy (second law) and zero entropy at zero temperature (third law).…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic Formulation of Living Systems and Their Evolution II

Castillo¹,

Martínez-Manzo²,

Levario-Diaz³

2020

JMP

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In the previous paper [1], the application of the general thermodynamic theory was considered to biological systems. The nature of living matter has been presented from the mesoscopic to the macroscopic point of view, for different time scales (ontogenetic and phylogenetics). Herein, we continue with this application, and present three characteristics of life in the form of statements or postulates. The first characteristic describes the probability of survival against aging. In particular, the behaviour of life is shown as an independent mode of aging. The second characteristic refers to the adaptation of the species according to the environment. The relationship between the phenomenon of organic homeostasis and the origin of the clinical parameters that define health is highlighted. And finally, the third characteristic applies the principle of negentropy to describe evolution. A representative model is given as an example of each postulate.

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“…Later work shows that his approach did gain affirmation (cf. [5,6]). On the other hand, in his papers on the Fermi-Dirac gas, he engaged in rather practical work including numerical calculations in order to replace the parametric form of the equation of state by easy-to-handle approximate elementary algebraic equations.…”

mentioning

confidence: 99%

Hans A. Buchdahl (7.7.1919–7.1.2010)

Goenner

2010

Gen Relativ Gravit

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Untitled

Cited by 43 publications

References 24 publications

The Stumbling Block of the Gibbs Entropy: the Reality of the Negative Absolute Temperatures

The Stumbling Block of the Gibbs Entropy: the Reality of the Negative Absolute Temperatures

Thermodynamic Formulation of Living Systems and Their Evolution II

Hans A. Buchdahl (7.7.1919–7.1.2010)

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