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Non-reversible Metastable Diffusions with Gibbs Invariant Measure II: Markov Chain Convergence
This article considers a class of metastable non-reversible diffusion processes whose invariant measure is a Gibbs measure associated with a Morse...
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Entanglement detection in postquench nonequilibrium states: thermal Gibbs vs. generalized Gibbs ensemble
AbstractWe use entanglement witnesses related to the entanglement negativity of the state to detect entanglement in the XY chain in the postquench...
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A characterization of Gibbs semigroups
AbstractWe propose a new characterization of Gibbs semigroups, which is an extension of a similar characterization for compact semigroups.
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Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model
AbstractWe consider a DNA molecule as a configuration of the Potts model on paths of the Cayley tree. For this model, we study new...
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Free Energy, Gibbs Measures, and Glauber Dynamics for Nearest-Neighbor Interactions
We extend results of Richard Holley beyond the integer lattice to a large class of countable groups which includes free groups and all amenable...
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Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree
AbstractWe consider a mixed-type model given by the three-state Ising–Potts model on a Cayley tree. A criterion for the existence of limit Gibbs...
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New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree
In this paper we consider a model with nearest-neighbor interactions with spin space [0, 1] on Cayley trees of order k ⩾ 2. In Yu et al. (
2013 ), a... -
Potts model on a Cayley tree: a new class of Gibbs measures
AbstractWe obtain a wide class of new Gibbs measures for the Potts model on a Cayley tree. We present a review of known Gibbs measures of the...
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Learning quantum Hamiltonians from high-temperature Gibbs states and real-time evolutions
The behaviour of a system is determined by its Hamiltonian. In many cases, the exact Hamiltonian is not known and has to be extracted by analysing...
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Temperature–pressure and thermal-caloric imperfections effects on Gibbs and Helmholtz free energies
The paper focuses on exploration the effects of thermal and caloric imperfections on Gibbs and Helmholtz free energies. Despite the complexity and...
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Gibbs Measures of the Blume–Emery–Griffiths Model on the Cayley Tree
In this paper we consider the Blume–Emery–Griffiths model on Cayley trees. We reduce the problem of describing the splitting Gibbs measures of the...
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Fixed points of an infinite-dimensional operator related to Gibbs measures
AbstractWe describe fixed points of an infinite-dimensional nonlinear operator related to a hard-core (HC) model with a countable set
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Level-2 Large Deviation Principle for Countable Markov Shifts Without Gibbs States
We consider level-2 large deviations for the one-sided countable full shift without assuming the existence of Bowen’s Gibbs state. To deal with...
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Infinite Volume Gibbs States and Metastates of the Random Field Mean-Field Spherical Model
For the discrete random field Curie–Weiss models, the infinite volume Gibbs states and metastates have been investigated and determined for specific...
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Macroscopic Stability of Time Evolution of Gibbs Measures
We introduce two properties, macroscopic mixing and transitive mixing, to represent the macroscopic stability of time evolution of Gibbs measures. We...
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Equation of State and Size Distribution of Particles in the Gibbs System
AbstractWithin the framework of the Gibbs statistical theory, the issue of the size distribution of particles forming a statistical system and the...
