scholarly journals Recurrence relations for the three-dimensional Ising-like model in the external field

2005 ◽  
Vol 8 (3) ◽  
pp. 473 ◽  
Author(s):  
Kozlovskii
Keyword(s):  
External Field ◽  
Recurrence Relations ◽  
Three Dimensional

scholarly journals Free Energy of Three-Dimensional Uniaxial Magnet in the Higher Non-Gaussian Approximation and in the Presence of an External Field

2011 ◽  
Vol 2011 ◽  
pp. 1-11
Author(s):  
M. P. Kozlovskii ◽  
I. V. Pylyuk
Keyword(s):  
Free Energy ◽  
External Field ◽  
Statistical Physics ◽  
Recurrence Relations ◽  
Gaussian Approximation ◽  
Three Dimensional ◽  
Crossover Region ◽  
Effective Measure ◽  
Calculation Technique ◽  
Non Gaussian

A three-dimensional Ising-like system in a homogeneous external field is studied on the basis of the higher non-Gaussian measure density (the model). The presented solutions of recurrence relations for the coefficients of the effective measure densities and the generalized point of exit of the system from the critical regime are used for calculating the free energy of the system at temperatures ( is the phase transition temperature in the absence of an external field). A calculation technique is based on the first principles of statistical physics and is naturally realized without any general assumptions and without any adjustable parameters. The obtained expression for the free energy does not involve series expansions in the scaling variable and is valid near the critical point not only in the regions of the so-called weak and strong external fields, but also in the crossover region between these fields, where power series in the scaling variable are not effective.

scholarly journals Regular and Chaotic Motion in a Restricted Three–Body Problem of Astrophysical Interest

2000 ◽  
Vol 174 ◽  
pp. 281-285 ◽  
Author(s):  
J. C. Muzzio ◽  
F. C. Wachlin ◽  
D. D. Carpintero
Keyword(s):  
External Field ◽  
Body Problem ◽  
Stellar System ◽  
Three Dimensional ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Stellar Orbits ◽  
System A ◽  
Regular And Chaotic Motion ◽  
Three Body

AbstractWe have studied the motion of massless particles (stars) bound to a stellar system (a galactic satellite) that moves on a circular orbit in an external field (a galaxy). A large percentage of the stellar orbits turned out to be chaotic, contrary to what happens in the usual restricted three–body problem of celestial mechanics where most of the orbits are regular. The discrepancy is probably due to three facts: 1) Our study is not limited to orbits on the main planes of symmetry, but considers three–dimensional motion; 2) The force exerted by the satellite goes to zero (rather than to infinity) at the center of the satellite; 3) The potential of the satellite is triaxial, rather than spherical.

Calculation of free energy of three-dimensional uniaxial magnet in external field based on the higher non-Gaussian distribution

2009 ◽  
Author(s):  
I. V. Pylyuk ◽  
M. P. Kozlovskii ◽  
Yurij Holovatch ◽  
Bertrand Berche ◽  
Nikolai Bogolyubov ◽  
...  
Keyword(s):  
Free Energy ◽  
External Field ◽  
Gaussian Distribution ◽  
Three Dimensional ◽  
Non Gaussian

scholarly journals Towards a Better Understanding of Relationship between Preisach Densities and Polarization Reversals on Hysteresis Characteristic

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Teerawat Monnor ◽  
Yongyut Laosiritaworn ◽  
Rattikorn Yimnirun
Keyword(s):  
Distribution Function ◽  
External Field ◽  
Domain Switching ◽  
Three Dimensional ◽  
Hysteresis Loops ◽  
Mathematical Function ◽  
Hysteresis Characteristic ◽  
Hysteresis Behavior ◽  
Gaussian Distribution Function ◽  
Fundamental Understanding

This work performed Preisach modeling on hysteresis loops, where the contributions of Preisach density characteristics on hysteresis reversals were investigated. Specifically, the three-dimensional Gaussian-distribution function was used to construct the Preisach densities for extracting the associated hysteresis loops. In particular, the influences of three key Gaussian Preisach density characteristics (i.e., density sharpness, density center, and splitting densities) on hysteresis behavior were examined. It was found that sharper density induces more harmonized domain switching, so polarization derivative is enhanced at the coercivity, while the density center indicates the range of external field at which most switching occurs. Moreover, the splitting of the density was found to represent pinching in hysteresis loops, where material tends to actively respond in two different ranges of external field. Consequently, based on these results, significant hysteresis behavior can be revealed using minimal parameters via appropriate mathematical function; that is, another step enhances the fundamental understanding in the hysteresis topic using the Preisach framework.

scholarly journals Predicted MOND velocity dispersions for a catalog of ultra-diffuse galaxies in group environments

2019 ◽  
Vol 623 ◽  
pp. A36 ◽  
Author(s):  
Oliver Müller ◽  
Benoit Famaey ◽  
Hongsheng Zhao
Keyword(s):  
Dark Matter ◽  
External Field ◽  
Field Effect ◽  
Velocity Dispersion ◽  
A Priori ◽  
Three Dimensional ◽  
The Galaxy ◽  
Lower Limits ◽  
Group Environments

The possibility that ultra-diffuse galaxies are lacking dark matter has recently stimulated interest to check the validity of modified Newton dynamics (MOND) predictions on the scale of such galaxies. It has been shown that the external field effect (EFE) induced by the close-by galaxy can suppress the velocity dispersion of these systems, so that they appear almost dark matter free in the Newtonian context. Here, following up on this, we are making a priori predictions for the velocity dispersion of 22 ultra-diffuse galaxies in the nearby Universe. This sample can be used to test MOND and the EFE with future follow-up measurements. We have constructed a catalog of nearby ultra-diffuse galaxies in galaxy group environments, and set upper and lower limits for the possible velocity dispersion allowed in MOND, taking into account possible variations in the mass-to-light ratio of the dwarf and in the distance to the galaxy group. The prediction for the velocity dispersion is made as a function of the three dimensional separation of the dwarf to its host. In 17 out of 22 cases, the EFE plays a crucial role in the prediction.

scholarly journals The three-dimensional, three-state Potts model in an external field

2000 ◽  
Vol 488 (3-4) ◽  
pp. 319-325 ◽  
Author(s):  
Frithjof Karsch ◽  
Sven Stickan
Keyword(s):  
External Field ◽  
Potts Model ◽  
Three Dimensional
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