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The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble
Statistical mechanics model the equivalent subset energy generalized canonical
2014/12/25
This paper shows for a general class of statistical mechanical models that when the microcanonical and canonical ensembles are nonequivalent on a subset of values of the energy, there often exists a g...
Metastability within the generalized canonical ensemble
The generalized canonical ensemble microcanonical ensemble metastable
2014/12/25
We discuss a property of our recently introduced generalized canonical ensemble [M. Costeniuc, R.S. Ellis, H. Touchette, B. Turkington, The generalized canonical ensemble and its universal equivalence...
Generalized canonical ensembles and ensemble equivalence
Boltzmann continuous function generalized canonical ensemble and physics
2014/12/25
This paper is a companion piece to our previous work [J. Stat. Phys. 119, 1283 (2005)], which introduced a generalized canonical ensemble obtained by multiplying the usual Boltzmann weight factor e...
Nonconcave entropies from generalized canonical ensembles
Microcanonical ensemble entropy the curies - Weiss - Potts spin model model
2014/12/25
It is well known that the entropy of the microcanonical ensemble cannot be calculated as the Legendre transform of the canonical free energy when the entropy is nonconcave. To circumvent this problem,...
Generalized Canonical Correlation Analysis for Disparate Data Fusion
Manifold matching canonical correlation analysis reduced rank regression efficiency,classification
2012/11/22
Manifold matching works to identify embeddings of multiple disparate data spaces into the same low-dimensional space, where joint inference can be pursued. It is an enabling methodology for fusion and...
Curvature invariants and Generalized Canonical operator models
Cowen-Douglas class Sz.-Nagy-Foias model operator curvature
2010/12/8
There are two models for contraction operators on reproducing kernel Hilbert spaces, that of Sz.-Nagy-Foias introduced in the sixties and the later one from the late seven-ties due to M. Cowen and the...
Generalized Canonical Noether Theorem and Poincaré-Cartan Integral Invariant for a System with a Singular High-Order Lagrangian and an Application
constrained Hamiltonian system high-derivative theory Noether
theorem Poincaré-Cartan integral invariant
2007/8/15
2001Vol.36No.2pp.157-162DOI:
Generalized Canonical Noether Theorem and Poincaré-Cartan Integral Invariant for a System with a Singular High-Order Lagrangian and an Application
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