[PDF] Top 20 Random partitions in statistical mechanics
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Random partitions in statistical mechanics
... Acknowledgments: We thank the Laboratoire Jean Dieudonné of the University of Nice, and the Institut Henri Poincaré (during the program of the spring 2013 organized by M. Esteban and M. Lewin) for kindly hosting us. S.J. ... See full document
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Statistical mechanics of fluctuating membranes
... In the next chapter - where a Monte Carlo simulation is presented which can probe a pha e space much larger than considered by the approximate random interface theory we will s e that ou[r] ... See full document
145
The thermodynamic temperature in statistical mechanics
... The earliest thermostats* simply rescaled the momentum of each particle by yjK ^/ K^ where Ki is the kinetic energy at a particu lar timestep, and K q = 3NkT/2 is the average kinetic energy for a system at the desired ... See full document
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On the integrable dynamical systems in statistical mechanics
... the random deposition, where both deposi- tion and evaporation are allowed, constructed by [Plis- chke, Racz, Liu (1987)] in relation to the one-dimensional stochastic Ising model to solve for the critical ... See full document
62
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 ... See full document
7
Statistical mechanics of the periodic Benjamin Ono equation
... from a Hamiltonian system with canonical coordinates given by the Fourier coeffi- cients. Hence the properties of the Gibbs measure are accessible by the techniques of random Fourier series. We prove that the ... See full document
36
On the Nature of Intelligence: The Relevance of Statistical Mechanics
... the random processes that are the foundation of the normal distribution on the ...other. Statistical mechanics is explored to help in understanding the relation between order and randomness in ...In ... See full document
34
On Nonequilibrium Statistical Mechanics
... effectively random, and we can expect the velocities of incoming colliding molecules to be, at any mo- ment, effectively independent of the velocity of the Brownian ... See full document
142
Bogolyubov Gaussian Measure in Quantum Statistical Mechanics
... . This is the idea of constructing a Lebesgue integral in the Daniell scheme [5,6]. The early results by Wiener [7] have much in common with the theory of the Daniell integral. He defined the integration process for ... See full document
13
Random walk theory and statistical mechanics of lattice systems
... the random walk functions of the ...the random walk formalism throughout and, specifically, further ahead when we deal with particular lattice gas ... See full document
109
Srinivasa Ramanujan (1887 1920) and the theory of partitions of numbers and statistical mechanics a centennial tribute
... SRINIVASA RAMANUJAN 1887-1920AND THE THEORY OF PARTITIONS OF NUMBERS AND STATISTICAL MECHANICS A CENTENNIAL TRIBUTE.. LOKENATH DEBNATH Department of Mathematics University of Central Flo[r] ... See full document
16
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 ... See full document
10
Article Higher Order Geometric Theory of Information and Heat based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures
... Ingarden proposed that if we can measure the second cumulant of the energy (the fluctuation of the energy), the equilibrium state is not the canonical state, but would need two temperatures. Ingarden argues that for a ... See full document
60
The Best Humean System for Statistical Mechanics
... disciplines working at a certain level do so with a great deal of autonomy, and both methods and explanatory practices are closely tied to discipline-specific domains of discourse. A Humean Best System approach should ... See full document
43
Statistical Tests for Random and Quantum Random Number Generators
... also statistical tests (Kolmogorov) showing how random the numbers in a row ...a random number cannot be found. A perfectly random number is the one which cannot be guessed except by using ... See full document
6
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 ... See full document
6
No such thing as society? On the individuality of information behavior
... necessary, as the success of statistical mechanics shows Carroll, 2011. All that is needed is a statistical understanding of how atoms behave in large ensembles. However, this does not[r] ... See full document
9
On the Statistical Mechanics of Alien Species Distribution
... yield the number of site pairs sharing species as a function of the number of species shared and the 298. number of triplets as a function of the number of species common to three sites[r] ... See full document
12
Fragmenting random permutations
... a random permutation, we reduce the problem to one concerning sequences of independent Bernoulli random variables, conditioned on their ...Gibbs(w) partitions with more general weight sequences, ... See full document
13
Finding planted partitions in random graphs with general degree distributions
... of random graphs (based on ideas from [18]): spectral properties are inferred directly from the global edge distribution, which in turn is easy to analyze via nonconstructive counting arguments (“first moment ... See full document
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