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THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS
Monte carlo markov chain the interface between computing computer science statistical mechanics
2015/7/14
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS。
Einstein’s Controversy with Drude and the Origin of Statistical Mechanics: A New Glimpse from the “Love Letters“
Einstein’s Controversy Drude Statistical Mechanics Love Letters
2015/3/27
Einstein’s Controversy with Drude and the Origin of Statistical Mechanics: A New Glimpse from the “Love Letters“.
Bose-Einstein condensation, fluctuations, and recurrence relations in statistical mechanics
Gas bose Einstein condensation partition function condensation
2014/12/20
We calculate certain features of Bose–Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain...
We show how to construct space time lattices with a Regge action proportional to the energy of a given Ising or Potts model macrostate. This allows to take advantage of the existence of exact solution...
Statistical mechanics for natural flocks of birds
Statistical mechanics natural flocks of birds Biological Physics
2011/8/2
Abstract: Interactions among neighboring birds in a flock cause an alignment of their flight directions. We show that the minimally structured (maximum entropy) model consistent with these local corre...
Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction
Entropic Fluctuations Quantum Statistical Mechanics
2011/7/26
Abstract: These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.
Isoradial graphs are a natural generalization of regular graphs which give,for many models of statistical mechanics, the right framework for studying models at criticality.
Irreversibility and maximum generation in $\kappa$-generalized statistical mechanics
dynamical systems entropy ergodic theory non-equilibrium thermodynamics
2011/2/23
This paper develops an analytical relation on probability to obtain a condition on stability of steady states of open systems which represents the condition of quasi-ergodicity for the open systems to...
Statistical Mechanics of Horizontal Gene Transfer in Evolutionary Ecology
Statistical Mechanics Horizontal Gene Transfer Evolutionary Ecology
2011/1/5
The biological world, especially its majority microbial component, is strongly interacting and may be dominated by collective effects. In this review, we provide a brief introduction for statistical p...
Statistical mechanics of collisionless orbits. I. Origin of central cusps in dark-matter halos
Cosmology and Extragalactic Astrophysics (astro-ph.CO) Statistical Mechanics (cond-mat.stat-mech)
2010/12/23
We present an equilibrium statistical mechanical theory of collisionless self-gravitational systems with isotropic velocity distributions.
Kahler-Einstein metrics emerging from free fermions and statistical mechanics
Kahler-Einstein metrics free fermions statistical mechanics
2010/12/15
We propose a statistical mechanical derivation of Kähler-Einstein1 metrics, i.e. solutions to Einstein’s vacuum field equations in Euclidean sig-nature (with a cosmological constant) on a compact...
Elliptic beta integrals and solvable models of statistical mechanics
Elliptic beta integrals solvable models
2010/12/23
The univariate elliptic beta integral was discovered by the author in 2000. Recently Bazhanov and Sergeev have interpreted it as a star-triangle relation (STR). This important observation is discussed...
The effect of local thermal fluctuations on the folding kinetics: a study from the perspective of the nonextensive statistical mechanics
local thermal fluctuations the folding kinetics
2010/11/16
Protein folding is a universal process, very fast and accurate, which works consistently (as it should be) in a wide range of physiological conditions. The present work is based on three premises, na...
Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models
Multispecies Statistical Mechanics Mean-Field Models
2010/11/19
We study the limiting thermodynamic behavior of the normalized sums of spins in multi-species Curie-Weiss models. We find sufficient conditions for the limiting random vector to be Gaussian (or to ha...
The statistical mechanics of a polygenic characterunder stabilizing selection, mutation and drift
statistical mechanics polygenic characterunder stabilizing selection mutation drift
2010/11/15
By exploiting an analogy between population genetics and statistical mechanics, we study the evolution of a polygenic trait under stabilizing selection, mutation, and genetic drift. This requires us ...