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First Principles of the Classical Mechanics and the Foundations of Statistical Mechanics on the Example of a Disordered Spin System
AbstractWe study the classical multicomponent disordered 3D spin system taking into account the temperature of the medium in the framework of the...
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Nonextensive statistical mechanics for robust physical parameter estimation: the role of entropic index
The problem of inferencing parameters of complex systems from measured data has been extensively studied based on the inverse problem theory....
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The average trap** time for a weight-dependent walk on a weighted hierarchical graph
A hierarchical graph is a kind of self-similar network, which is widely discussed and has a wide range of applications. In this paper, we introduce a...
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Role of influence-induced dynamic link weight adjustment in the cooperation of spatial prisoner’s dilemma game
AbstractWe propose a novel dynamic link weight adjustment model, in which link weights on static network will be dynamically adjusted according to...
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A journey through map** space: characterising the statistical and metric properties of reduced representations of macromolecules
AbstractA map** of a macromolecule is a prescription to construct a simplified representation of the system in which only a subset of its...
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An alternative statistical approach to the collection and processing of Mössbauer spectroscopy data
The idea of recording the total history of a Mössbauer spectrum collection in carefully selected time intervals is introduced in this work, providing...
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Higher-Order Structure Comparison of a Proposed Biosimilar and the Innovator Biotherapeutic Trastuzumab using Circular Dichroism Coupled with Statistical Analysis
We employ a novel circular dichroism (CD) technology coupled with statistical analysis to assess the higher-order structure (HOS) similarity of...
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Inequality in energy consumption: statistical equilibrium or a question of accounting conventions?
Understanding inequality energy consumption at the global level delivers key insights for strategies to mitigate climate change. Recent...
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Statistical Issues in Particle Physics
The most exciting result in recent years in Particle Physics was the discovery of the Higgs boson. This involved several interesting statistical...
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Introduction to the Special Issue on the Statistical Mechanics of Climate
We introduce the special issue on the Statistical Mechanics of Climate by presenting an informal discussion of some theoretical aspects of climate...
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Thermodynamics and Statistical Mechanics of Fluid States
In the first part of this chapter, we examine the thermodynamic properties of fluid matter. We will introduce the general conditions of equilibrium...
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The Influence of Porosity on the Statistical Amplitude Distribution of Backscattered Ultrasonic Pulses in Reactive Cast Metal–Matrix Composites
AbstractIn this work, we study the influence of the local porosity in isotropic reactive cast particulate reinforced metal–matrix composites on the...
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Statistical Model for Quasicontinuum of Heavy Ions in Hot Plasma
AbstractA statistical description is proposed for the shape of heavy impurity spectra observed in tokamaks and stellarators, corresponding to the...
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Research on Shielding Deep Penetration Calculation Based on MC Variance Reduction Techniques
In the study of shielding deep penetration of particle transport, analogy calculation (AN) can lead to a long calculation time and significant error....
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A new equation for period vectors of crystals under external stress and temperature in statistical physics: mechanical equilibrium condition and equation of state
Starting with the rigorous derivation of the work done on the center cell by external forces, a new equation is derived for the period vectors (cell...
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Popper’s Falsification and Corroboration from the Statistical Perspectives
The role of probability appears unchallenged as the key measure of uncertainty, used among other things for practical induction in the empirical...
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An Introduction to Statistical Mechanics
This chapter contains a revision of concepts and methods in classical and quantum statistical mechanics, for discrete and continuous spectra, based...
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Energy-information trade-off induces continuous and discontinuous phase transitions in lateral predictive coding
Lateral predictive coding is a recurrent neural network that creates energy-efficient internal representations by exploiting statistical regularity...
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Examples of Advanced Concepts
Perhaps the two most abstract concepts in Monte Carlo sampling are variance reduction and next-event estimators. Variance reduction techniques enable...
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Statistical Thermodynamics, the Third Law
So far, no effort has been made to carry out exact numerical calculation of state functions such as the entropy and internal energy. Indeed, analyses...