Mean-field methods in mantle convection

1988 ◽  
pp. 227-264 ◽  
Author(s):  
Francesca Quareni ◽  
David A. Yuen
Keyword(s):  
Mantle Convection ◽  
Mean Field ◽  
Field Methods ◽  
Mean Field Methods

scholarly journals A one-dimensional modified TASEP model on a track of variable length: analytical and computational results

2021 ◽  
Vol 2090 (1) ◽  
pp. 012025
Author(s):  
B. Reed ◽  
E. Aldrich ◽  
L. Stoleriu ◽  
D.A. Mazilu ◽  
I. Mazilu
Keyword(s):  
Monte Carlo ◽  
Molecular Motors ◽  
Mean Field Theory ◽  
Mean Field ◽  
Limited Range ◽  
Field Methods ◽  
One Dimensional ◽  
Emergent Features ◽  
Simulation Results ◽  
Mean Field Methods

Abstract We present analytical solutions and Monte Carlo simulation results for a one-dimensional modified TASEP model inspired by the interplay between molecular motors and their cellular tracks of variable lengths, known as microtubules. Our TASEP model incorporates rules for changes in the length of the track based on the occupation of the first two sites. Using mean-field theory, we derive analytical results for the particle densities and particle currents and compare them with Monte Carlo simulations. These results show the limited range of mean-field methods for models with localized high correlation between particles. The variability in length adds to the complexity of the model, leading to emergent features for the evolution of particle densities and particle currents compared to the traditional TASEP model.

Formulating the interacting boson model by mean-field methods

2010 ◽  
Vol 81 (4) ◽  
Author(s):  
Kosuke Nomura ◽  
Noritaka Shimizu ◽  
Takaharu Otsuka
Keyword(s):  
Mean Field ◽  
Interacting Boson Model ◽  
Field Methods ◽  
Boson Model ◽  
Mean Field Methods

scholarly journals Comparison between the Thomas–Fermi and Hartree–Fock–Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations

Universe ◽  
2020 ◽  
Vol 6 (11) ◽  
pp. 206
Author(s):  
Matthew Shelley ◽  
Alessandro Pastore
Keyword(s):  
Neutron Star ◽  
Mean Field ◽  
Pairing Correlation ◽  
Field Methods ◽  
Density Region ◽  
Thomas Fermi ◽  
Hartree Fock ◽  
Pairing Correlations ◽  
Mean Field Methods

We investigated the role of a pairing correlation in the chemical composition of the inner crust of a neutron star with the extended Thomas–Fermi method, using the Strutinsky integral correction. We compare our results with the fully self-consistent Hartree–Fock–Bogoliubov approach, showing that the resulting discrepancy, apart from the very low density region, is compatible with the typical accuracy we can achieve with standard mean-field methods.

Semi-supervised learning via mean field methods

2016 ◽  
Vol 177 ◽  
pp. 385-393 ◽  
Author(s):  
Jianqiang Li ◽  
Fei Wang
Keyword(s):  
Supervised Learning ◽  
Mean Field ◽  
Field Methods ◽  
Mean Field Methods

DESCRIPTION OF SHAPE COEXISTENCE BY MEAN-FIELD AND BEYOND MEAN-FIELD METHODS

2004 ◽  
Vol 13 (01) ◽  
pp. 133-138
Author(s):  
P-H HEENEN ◽  
M. BENDER ◽  
P. BONCHE ◽  
T. DUGUET
Keyword(s):  
Quadrupole Moment ◽  
Transition Probabilities ◽  
Mean Field ◽  
Pb Isotopes ◽  
Shape Coexistence ◽  
Field Methods ◽  
Hartree Fock ◽  
Configuration Mixing ◽  
Mean Field Methods

In this talk, we present a method which allows the introduction of correlations beyond a Skyrme Hartree-Fock calculation by symmetry restoration and configuration mixing on the axial quadrupole moment. A first application to 240 Pu is discussed, to show the potential of the method. As an example of the shape coexistence phenomenon in Pb isotopes, results for collective spectra and transition probabilities are then presented for 188 Pb .

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