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The Best Humean System for Statistical Mechanics
Boltzmannian statistical mechanics determinism objective chances
2016/6/13
Classical statistical mechanics posits probabilities for various events to occur, and these probabilities seem to be objective chances. This does not seem to sit well with the fact that the theory’s t...
What is Statistical Mechanics?
Statistical Mechanics Entropy Second Law of Thermodynamics Equilibrium
2016/5/30
Thermodynamics describes a large class of phenomena we observe in macroscopic systems. The aim of statistical mechanics is to account for this behaviour in terms of the dynamical laws governing the mi...
Statistical Mechanics of a Discrete Nonlinear System
Statistical mechanics discrete nonlinear schrodinger equation the partition function
2014/12/29
Statistical mechanics of the discrete nonlinear Schrödinger equation is studied by means of analytical and numerical techniques. The lower bound of the Hamiltonian permits the construction of sta...
Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics
System stochastic partial differential equations the nonlinear medium heat transfer and energy
2014/12/29
We consider a system of stochastic partial differential equations modeling heat conduction in a non-linear medium. We show global existence of solutions for the system in Sobolev spaces of low regular...
Entropic fluctuations in statistical mechanics: I. Classical dynamical systems
Dynamic system theory the steady state the theorem of equilibrium statistical mechanics mathematical structure fluctuation quantum statistical mechanics
2014/12/24
Within the abstract framework of dynamical system theory we describe a general approach to the transient (or Evans–Searles) and steady state (or Gallavotti–Cohen) fluctuation theorems of non-equilibri...
Information Theory and Statistical Mechanics Revisited
predictive statistical mechanics maximum entropy likelihood probability information entropy
2011/6/21
The statistical mechanics of Gibbs is a juxtaposition of subjective, probabilistic ideas on the one
hand and objective, mechanical ideas on the other. From the mechanics point of view, the term ‘stat...
Statistical mechanics of the international trade network
Statistical mechanics international trade network General Finance
2011/7/22
Abstract: Analyzing real data on international trade covering the time interval 1950-2000, we show that in each year over the analyzed period the network is a typical representative of the ensemble of...
Statistical mechanics of money, debt, and energy consumption
Statistical mechanics debt energy consumption
2010/10/21
We briefly review statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as ran...
Statistical mechanics approach to the probability distribution of money
Statistical mechanics probability distribution of money
2010/10/21
This Chapter reviews statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as r...
Mapping markets to the statistical mechanics: the derivatives act against the self-regulation of stock market
statistical mechanics self-regulation of stock market
2010/10/29
Mapping the economy to the some statistical physics models we get strong indications that, in
contrary to the pure stock market, the stock market with derivatives could not self-regulate.
Colloquium: Statistical mechanics of money, wealth, and income
Colloquium Statistical mechanics of money wealth income
2010/11/1
This Colloquium reviews statistical models for money, wealth, and income distributions devel-
oped in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs
distributi...
A k-generalized statistical mechanics approach to income analysis
Personal income distribution inequality generalized statistics
2010/10/29
This paper proposes a statistical mechanics approach to the analysis of income distribution and inequality. A new distribution function, having its roots in the framework of -generalized statistics, ...
On the Feynman path centroid density as a phase space distribution in quantum statistical mechanics
Feynman path centroid density a phase space distribution quantum statistical mechanics
2014/9/24
The phase space formulation of quantum statistical mechanics using the Feynman path centroid density offers an alternative perspective to the standard Wigner prescription for the classical-like evalua...
The formulation of quantum statistical mechanics based on the Feynman path centroid density. V. Quantum instantaneous normal mode theory of liquids
quantum statistical mechanics Feynman path centroid density Quantum instantaneous normal mode theory of liquids
2014/9/24
The concept of instantaneous normal modes in liquids is extended into the quantum regime using the Feynman path centroid perspective in quantum statistical mechanics. To accomplish this goal, the vari...
The formulation of quantum statistical mechanics based on the Feynman path centroid density. IV. Algorithms for centroid molecular dynamics
quantum statistical mechanics Feynman path centroid density Algorithms for centroid molecular dynamics
2014/9/24
Numerical algorithms are developed for the centroid molecular dynamics (centroid MD) method to calculate dynamical time correlation functions for general many-body quantum systems. Approaches based on...