TY - Type of reference
TI - Scale-Invariant Model of Boltzmann Statistical Mechanics and Generalized Thermodynamics
AU - Siavash H. Sohrab
AB - Some implications of a scale-invariant model of Boltzmann statistical mechanics to the laws of generalized thermodynamics are investigated. Through definition of stochastic Planck and Boltzmann universal constants, dimension of Kelvin absolute temperature T (degrees kelvin) is identified as a length (meters) associated with Wien wavelength Tβ = λwβ of particle thermal oscillations. Hence, thermodynamic temperature and atomic mass of the field 𝔽β at scale β provide internal measures of (extension, duration) of background space 𝕊β+1 = 𝔽β needed to define external space and time coordinates and atomic-mass-unit of 𝔽β+1. Introduction of invariant internal thermodynamic spacetime and Boltzmann factor are in harmony with modern concepts of quantum gravity as deterministic dissipative dynamic system [73]. The connections between de Pretto number 8338 and Joule-Mayer mechanical equivalent of heat Jc = 4.169 kJ / kcal and universal gas constant Ro = 8338 J / kcal.m are identified leading to the modified mechanical equivalent of heat J = 2Jc = 8338 J / kcal . It is shown that with work defined as Helmholtz free energy W = F = U – TS, Helmholtz decomposition of total thermal energy into free heat U and latent heat pV results in modified form of the first law of thermodynamics Q = H = U- W = U + pV. Finally, by application of Boltzmann combinatorics method, entropy of ideal gas is expressed in terms of the number of Heisenberg-Kramers virtual oscillators as S = 4Nk in exact agreement with predicted entropy of black hole by Major and Setter [159].
DO - 10.21494/ISTE.OP.2021.0743
JF - Entropy: Thermodynamics – Energy – Environment – Economy
KW - Generalized thermodynamics, entropy, Absolute temperature scale, Spacetime, Quantum nature of space and time, Quantum gravity, T.O.E, Generalized thermodynamics, entropy, Absolute temperature scale, Spacetime, Quantum nature of space and time, Quantum gravity, T.O.E,
L1 - https://openscience.fr/IMG/pdf/iste_entropie21v2n1_5.pdf
LA - en
PB - ISTE OpenScience
DA - 2021/10/11
SN - 2634-1476
TT - Modèle invariant d’échelles en mécanique statistique de Boltzmann et thermodynamique généralisée
UR - https://openscience.fr/Scale-Invariant-Model-of-Boltzmann-Statistical-Mechanics-and-Generalized
IS - Issue 1
VL - 2
ER -