Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
We study the large N ’t Hooft expansion of the chiral partition function of 2d U(N) Yang-Mills theory on a torus. There is a long-standing puzzle that no explicit holomorphic anomaly equation is known for the partition function, although it admits a ...
Kazumi Okuyama, Kazuhiro Sakai
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Artificial Intelligence Knowledge Graph for Dynamic Networks: An Incremental Partition Algorithm
The quick and intelligent requests and answers in artificial intelligence (AI) are inseparable from intelligent data. Knowledge graph makes data more intelligent by establishing association among data, which provides convenience for intelligent search ...
Yonglin Leng, Hongmin Wang, Fuyu Lu
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Calculation of thermodynamic properties and transport parameters of C6F12O
C6F12O has good insulating properties and has the potential to be used as an insulating medium in gas-insulated equipment. Previous researches show that thermodynamic properties and transport parameters can reflect the microscopic properties of plasma ...
Dajian Li +13 more
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A NOTE ON THE SMARANDACHE DIVISOR SEQUENCES [PDF]
We define here SMARANDACHE FACTOR PARTITION FUNCTION (SFP)
Murthy, A.
core +1 more source
Many complex systems generate multifractal time series which are long-range cross-correlated. Numerous methods have been proposed to characterize the multifractal nature of these long-range cross correlations.
Wen-Jie Xie +4 more
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Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization
We employ supersymmetric localization to determine the exact partition function of 3d N $$ \mathcal{N} $$ = 2 gauge theories on a background given by a round S 2 fibered over a circle and certain complexified background fields.
Jun Nian, Leopolda A. Pando Zayas
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Stochastic Theory of Discrete Binary Fragmentation—Kinetics and Thermodynamics
We formulate binary fragmentation as a discrete stochastic process in which an integer mass k splits into two integer fragments j, k−j, with rate proportional to the fragmentation kernel Fj,k−j.
Themis Matsoukas
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Nonmonotonic pressure as a function of the density in a fluid without attractive forces
A simple result for the pressure of a hard sphere fluid that was developed many years ago by Rennert is extended in a straightforward manner by adding additional terms that are of the same form as Rennert's formula. The resulting expression is moderately
D. Henderson
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STATISTICAL MECHANICS: BRIDGING MICROSCOPIC BEHAVIOR TO MACROSCOPIC OBSERVABLES: Gravitational waves
This study investigates how statistical mechanics bridges the gap between microscopic particle dynamics and macroscopic thermodynamic observables through a mixed-methods framework combining ensemble theory, computational modeling, and statistical ...
Syed Rizwan Hussain, Aurang Zeb
doaj
On the Wigner-Kirkwood Expansion of the Free Energy and the Evaluation of the Quantum Correction
The Wigner-Kirkwood expansion of the quantum correction to the classical free energy is generally said to be in powers of ℏ2 and only its first few terms are presented.
Luc Kazandjian +2 more
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