Bifurcation Analysis of a Mean-Field Model for Biaxial Nematics

In this paper, we analyze the spatiotemporal mean field model developed by Liley et al. in order to advance our understanding of the wide effects of pharmacological agents and anesthetics. Specifically, we use the spatiotemporal mean field model for capturing the electrical activity in the neocortex to computationally study the emergence of α - and γ -band rhythmic activity in the brain. We show that α oscillations in the solutions of the model appear globally across the neocortex, whereas γ oscillations can emerge locally as a result of a bifurcation in the dynamics of the model. We solve the dynamic equations of the model using a finite element solver package and show that our results verify the predictions made by bifurcation analysis.

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Path Integral Method in the Mean-field Model for the Magnetic Vector Potential

Geomagnetism and Aeronomy ◽

10.1134/s0016793220070300 ◽

2020 ◽

Vol 60 (7) ◽

pp. 989-992

Author(s):

E. V. Yushkov ◽

C. R. Kamaletdinov ◽

D. D. Sokoloff

Keyword(s):

Path Integral ◽

Vector Potential ◽

Integral Method ◽

Field Model ◽

Mean Field ◽

Magnetic Vector Potential ◽

Magnetic Vector ◽

Mean Field Model ◽

The Mean ◽

Path Integral Method

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KDP-type crystal spontaneous polarization behavior better explained by bound charge semiconductor model than by mean field model

Ferroelectrics ◽

10.1080/00150193.2020.1791663 ◽

2020 ◽

Vol 569 (1) ◽

pp. 70-81

Author(s):

V. Hugo Schmidt

Keyword(s):

Spontaneous Polarization ◽

Field Model ◽

Mean Field ◽

Mean Field Model ◽

Polarization Behavior ◽

Type Crystal

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Quark mean-field model for single and double and hypernuclei

Progress of Theoretical and Experimental Physics ◽

10.1093/ptep/ptt119 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 13D02-0 ◽

Cited By ~ 11

Author(s):

J. N. Hu ◽

A. Li ◽

H. Shen ◽

H. Toki

Keyword(s):

Field Model ◽

Mean Field ◽

Mean Field Model

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EVOLUTION OF SHELL STRUCTURE IN NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301311019581 ◽

2011 ◽

Vol 20 (08) ◽

pp. 1663-1675 ◽

Cited By ~ 4

Author(s):

A. BHAGWAT ◽

Y. K. GAMBHIR

Keyword(s):

Shell Structure ◽

Crucial Role ◽

Field Model ◽

Mean Field ◽

Mass Region ◽

The Other ◽

Mean Field Model ◽

Relativistic Mean Field ◽

Shell Closures ◽

Low Mass

Systematic investigations of the pairing and two-neutron separation energies which play a crucial role in the evolution of shell structure in nuclei, are carried out within the framework of relativistic mean-field model. The shell closures are found to be robust, as expected, up to the lead region. New shell closures appear in low mass region. In the superheavy region, on the other hand, it is found that the shell closures are not as robust, and they depend on the particular combinations of neutron and proton numbers. Effect of deformation on the shell structure is found to be marginal.

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