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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...