Several identities in statistical mechanics by M. D. Hirschhorn

“…In an earlier paper concerning a solvable Inodel in statistical mechanics, Miwa and Jimbo state a theta-function identity which they have checked to the 200th power, but of which they do not have a proof. …”
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Statistical Mechanics of Directed Networks by Marián Boguñá, M. Ángeles Serrano

“…This paper introduces a statistical mechanics framework for directed networks, modeling them as ensembles of interacting fermions. …”
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Nonadditive Entropies and Nonextensive Statistical Mechanics by Ugur Tirnakli

“…The centennial Boltzmann–Gibbs statistical mechanics [...]…”
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On Quantum Statistical Mechanics: A Study Guide by Wladyslaw Adam Majewski

“…As an illustration, a quantization of stochastic processes, new formalism for statistical mechanics, quantum field theory, and quantum correlations are discussed.…”
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Statistical mechanics and machine learning of the α-Rényi ensemble by Andrew Jreissaty, Juan Carrasquilla

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On the foundations of a new approach to statistical mechanics of classical systems by S. N. Bagghi

Subjects: “…statistical mechanics…”
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Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics by Ke-Ming Shen, Hui Zhang, De-Fu Hou, Ben-Wei Zhang, En-Ke Wang

“…From the nonextensive statistical mechanics, we investigate the chiral phase transition at finite temperature T and baryon chemical potential μB in the framework of the linear sigma model. …”
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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics by Yan Gu, Jiao Wang

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Introduction to Thermal Field Theory: From First Principles to Applications by Alberto Salvio

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Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction by Alex Akwasi Opoku, Godwin Osabutey, Charles Kwofie

“…In this paper we use a statistical mechanical model as a paradigm for educational choices when the reference population is partitioned according to the socioeconomic attributes of gender and residence. …”
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Assessing structural integrity of non-homogeneous systems by means of Acoustic Emissions and Non-Extensive Statistical Mechanics by Stavros K Kourkoulis, Ermioni Pasiou, Ilias Stavrakas, Dimos Triantis

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Noise in ecosystems: A short review by B. Spagnolo, D. Valenti, A. Fiasconaro

Subjects: “…nonequilibrium statistical mechanics…”
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An analytic solution of the non-linear equation ∇2λ(r)=f(λ) and its application to the ion-atmosphere theory of strong electrolytes by S. N. Bagchi

Subjects: “…statistical mechanics of solutions…”
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Exploring cooking fuel choices among Ghanaian women of reproductive age: A socio-economic analysis from a statistical mechanics perspective. by Richard Kwame Ansah, Richard Kena Boadi, William Obeng-Denteh, Killian Asampana Asosega, Kassim Tawiah

“…In this study, we utilized a statistical mechanical model as a framework to explore the statistical relationship between socio-economic factors such as educational attainment, wealth status, place of residence, and cooking fuel choices. …”
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A Direct Method for the Analyticity of the Pressure for Certain Classical Unbounded Models by Assane Lo

“…We use our new formula (Lo, 2007) to establish the analyticity of the pressure in the thermodynamic limit for a wide class of classical unbounded models in statistical mechanics.…”
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Random features and polynomial rules by Fabián Aguirre-López, Silvio Franz, Mauro Pastore

“…Our approach, built with tools from the statistical mechanics of disordered systems, maps the random features model to an equivalent polynomial model, and allows us to plot average generalization curves as functions of the two main control parameters of the problem: the number of random features $N$ and the size $P$ of the training set, both assumed to scale as powers in the input dimension $D$. …”
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Emergence of opposing arrows of time in open quantum systems by Thomas Guff, Chintalpati Umashankar Shastry, Andrea Rocco

“…Abstract Deriving an arrow of time from time-reversal symmetric microscopic dynamics is a fundamental open problem in many areas of physics, ranging from cosmology, to particle physics, to thermodynamics and statistical mechanics. Here we focus on the derivation of the arrow of time in open quantum systems and study precisely how time-reversal symmetry is broken. …”
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Classical and quantum spin liquids by Capponi, Sylvain

“…This phenomenon of phase transition has been well understood using statistical mechanics and simple modelling.In this short lecture notes, we will review the possibility that a many-body magnetic system may remain magnetically disordered down to zero-temperature, both for classical or quantum spins. …”
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Exploring the thermodynamic description of a simulation of flocking birds by Alexander V. Mantzaris, George-Rafael Domenikos

“…The simulation of birds is produced using standard agent-based modeling and the thermodynamic variables for the states of the trajectory using statistical mechanics. The energy of the birds is defined, and from the distribution function, the entropy, internal energy, temperature, heat flux, and pressure are defined. …”
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Extracting rates and activation free energies of martensitic transitions using nanomechanical force statistics: theory, models, and analysis by Arijit Maitra, M. P. Gururajan

“…We demonstrate that a framework of nonequilibrium statistical mechanics offers a principled explanation of the relationship between strain rate and the critical force distribution as well as its mean. …”
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