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Statistical Mechanics

On Nonequilibrium Statistical Mechanics

On Nonequilibrium Statistical Mechanics

... statistical mechanics is used to describe the system’s ...cal mechanics is thought to be the more fundamental theory, the concern is often transformed into whether we can recover thermodynamics from ...

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Nonextensive statistical mechanics and high energy physics

Nonextensive statistical mechanics and high energy physics

... (BG) statistical mechanics constitutes one of the pillars of contemporary physics, together with Newtonian, quantum and relativistic mechanics, and Maxwell’s ...

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Statistical Mechanics for Weak Measurements and Quantum Inseparability

Statistical Mechanics for Weak Measurements and Quantum Inseparability

... quantum mechanics is usually a rough procedure that destroys many properties of the ...quantum mechanics [1], allowing both theo- retical and experimental inspection of the quantum states’ properties ...

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Bogolyubov Gaussian Measure in Quantum Statistical Mechanics

Bogolyubov Gaussian Measure in Quantum Statistical Mechanics

... In this paper we have provided an introductory description of the properties of integration with respect to a special Gaussian measure (the Bogolyubov measure) that arises in the statistical equilibrium theory of ...

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Statistical mechanics of the periodic Benjamin Ono equation

Statistical mechanics of the periodic Benjamin Ono equation

... STATISTICAL MECHANICS OF THE PERIODIC BENJAMIN–ONO EQUATION GORDON BLOWER, CAROLINE BRETT, AND IAN DOUST Abstract.. The periodic Benjamin–Ono equation is an autonomous Hamiltonian system[r] ...

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Statistical Mechanics-based Schr¨odinger treatment of Gravity

Statistical Mechanics-based Schr¨odinger treatment of Gravity

... In [1], gravity crops up as a result of information concerning material bodies’ positions, joining a thermal treatment of gravitation with ’t Hooft’s holo- graphic principle. In such terms, gravitation ought to be ...

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4211 Statistical Mechanics Brian Cowan

4211 Statistical Mechanics Brian Cowan

... ‘ Statistical mechanics / thermodynamics, being what many consider to be one of the most intellectually difficult subjects of all, is noted for its prevalence of suicides and suicide attempts by a ...

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On the integrable dynamical systems in statistical mechanics

On the integrable dynamical systems in statistical mechanics

... of statistical mechanics and we are interested in the time evolution of the system while looking for the exact solution regarding its stationary behaviours as time goes to ...

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On the Nature of Intelligence: The Relevance of Statistical Mechanics

On the Nature of Intelligence: The Relevance of Statistical Mechanics

... other. Statistical mechanics is explored to help in understanding the relation between order and randomness in ...In statistical mechanics, ordered phenomena, like temperature or chemical ...

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An Investigation Into the Significance of Dissipation in Statistical Mechanics

An Investigation Into the Significance of Dissipation in Statistical Mechanics

... A fundamental concept in statistical mechanics is that of an ensemble[22], first conceived by Boltzmann[23] and described succinctly by Maxwell. "I have found it convenient, instead of considering one ...

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Nonextensive statistical mechanics: Applications to high energy physics

Nonextensive statistical mechanics: Applications to high energy physics

... theory extends the applicability of standard statistical mechanics in order to also cover a wide class of anomalous systems which violate usual requirements such as ergodicity. Along the last two decades, a ...

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Defect turbulence and generalized statistical mechanics

Defect turbulence and generalized statistical mechanics

... In general, one may also consider probability distri- butions other than the χ 2 -distribution used in Eq. (12). These lead to statistics other than Tsallis statistics: su- perstatistics [25], for which generalized ...

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Corner transfer matrices of the Ising model in statistical mechanics

Corner transfer matrices of the Ising model in statistical mechanics

... equilibrium properties of macroscopic systems in terms of their microscopic properties. It was only in 1902 that a comprehensive formulation of statistical mechanics was given by Gibbs (1902). Since then, a ...

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Random walk theory and statistical mechanics of lattice systems

Random walk theory and statistical mechanics of lattice systems

... statistical mechanics. Of these methods the one we use most particularly is that employing the pair correlation functions. Here, we complement this approach by pointing out the simple relations that hold ...

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Reflection equations in exactly solvable models of statistical mechanics

Reflection equations in exactly solvable models of statistical mechanics

... in statistical mechanics through the work of Baxter and Yang, it was known in the form of the star triangle relation at least as far back as 1945 by Wannier in his work on the honeycomb dual to the Ising ...

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Ants in a labyrinth: A statistical mechanics approach to the division of labour

Ants in a labyrinth: A statistical mechanics approach to the division of labour

... Division of labour (DoL) is a fundamental organisational principle in human societies, within virtual and robotic swarms and at all levels of biological organisation. DoL reaches a pinnacle in the insect societies where ...

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Wealth, income, earnings and the statistical mechanics of flow systems

Wealth, income, earnings and the statistical mechanics of flow systems

... This paper is a condensed extract from the full paper 'Why Money Trickles Up'. The full paper applies the same basic model to explain the power tail seen in company size distributions, it also provides models for booms ...

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Statistical mechanics of socio economic systems with heterogeneous agents

Statistical mechanics of socio economic systems with heterogeneous agents

... for statistical physicists, especially in view of the empirical abundance of non-trivial fluctuation patterns and statistical regularities – think of returns in financial markets or of allometric scaling in ...

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Information-Theoretic Statistical Mechanics Without Landauer's Principle

Information-Theoretic Statistical Mechanics Without Landauer's Principle

... sees statistical mechanics as being a schema for evaluating one’s practical ability to manipulate systems where one is uncertain about the system’s exact ...

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A New Approach to Classical Statistical Mechanics

A New Approach to Classical Statistical Mechanics

... classical statistical mechanics is to explain the (statistical) properties of an assembly of a large number of identical particles in terms of the (determinis- tic) laws of classical ...classical ...

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