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Several identities in statistical mechanics
Published 1994-01-01“…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
Published 2025-01-01“…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
Published 2025-01-01“…The centennial Boltzmann–Gibbs statistical mechanics [...]…”
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On Quantum Statistical Mechanics: A Study Guide
Published 2017-01-01“…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
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On the foundations of a new approach to statistical mechanics of classical systems
Published 1980-01-01Subjects: “…statistical mechanics…”
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Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics
Published 2017-01-01“…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
Published 2025-01-01Subjects: Get full text
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Introduction to Thermal Field Theory: From First Principles to Applications
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Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction
Published 2019-01-01“…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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Models for Type VI Adsorption Isotherms from a Statistical Mechanical Formulation
Published 2013-04-01“…The formulation of these new expressions is based on a rigorous statistical mechanical description. The expressions allow for the estimation of physicochemical parameters within the theoretical model. …”
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Assessing structural integrity of non-homogeneous systems by means of Acoustic Emissions and Non-Extensive Statistical Mechanics
Published 2024-04-01Subjects: Get full text
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Assessing structural integrity of non-homogeneous systems by means of Acoustic Emissions and Non-Extensive Statistical Mechanics
Published 2024-03-01Subjects: Get full text
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Noise in ecosystems: A short review
Published 2004-02-01Subjects: “…nonequilibrium statistical mechanics…”
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Exploring cooking fuel choices among Ghanaian women of reproductive age: A socio-economic analysis from a statistical mechanics perspective.
Published 2025-01-01“…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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An analytic solution of the non-linear equation ∇2λ(r)=f(λ) and its application to the ion-atmosphere theory of strong electrolytes
Published 1981-01-01Subjects: “…statistical mechanics of solutions…”
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Monte Carlo Simulation and Exact Statistical Mechanical Lattice Models as a Development Tool for Zeolite Multi-Component Adsorption Isotherm Derivation
Published 2012-06-01“…In this article, we discuss the methodological development of rapidly obtaining multi-component adsorption isotherms using the interplay between the essentially exact (in the statistical mechanical sense) lattice model and configurational bias Monte Carlo simulations. …”
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A Direct Method for the Analyticity of the Pressure for Certain Classical Unbounded Models
Published 2011-01-01“…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
Published 2025-01-01“…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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