HYSTERESIS IN A MEAN-FIELD SPIN MODEL: OSCILLATION BEHAVIOR AND NEGATIVE ENERGY DISSIPATION

2005 ◽  
Vol 19 (23) ◽  
pp. 1131-1140 ◽  
Author(s):  
HUAI-YU WANG
Keyword(s):  
Energy Dissipation ◽  
Field Strength ◽  
Mean Field ◽  
Equation Of Motion ◽  
Negative Energy ◽  
Spin Model ◽  
Oscillation Regime ◽  
Ising System ◽  
Loop Area ◽  
Hysteresis Loop Area

For a mean-field ferromagnetic Ising system subject to a rotating transverse external field and a bath, the hysteresis loop area is studied by a complete analytical solution of the equation of motion of magnetization. In any cycle, the loop area is proportional to the field when the field strength is small and oscillates when the field strength is strong. The oscillation comes from the modulation of the behavior of magnetization with a frequency related to the field strength, which is caused by interaction between the Ising system and the bath. In the oscillation regime, the loop area can be negative except in the first cycle.

scholarly journals Response to “Comment on ‘Zero and negative energy dissipation at information-theoretic erasure”’

2016 ◽  
Vol 15 (1) ◽  
pp. 343-346 ◽  
Author(s):  
Laszlo Bela Kish ◽  
Claes-Göran Granqvist ◽  
Sunil P. Khatri ◽  
Ferdinand Peper
Keyword(s):  
Energy Dissipation ◽  
Negative Energy ◽  
Information Theoretic

scholarly journals The Possibility of Many Compensation Points in a Mixed-Spin Ising Ferrimagnetic System

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Hadey K. Mohamad
Keyword(s):  
Free Energy ◽  
Mean Field ◽  
Field Approximation ◽  
Spin Model ◽  
Mean Field Approximation ◽  
Zero Field ◽  
Mixed Spin ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
The Mean

The magnetic properties of a ferrimagnetic mixed spin-3/2 and spin-5/2 Ising model with different anisotropies are investigated by using the mean-field approximation (MFA). In particular, the effect of magnetic anisotropies on the compensation phenomenon, acting on A-atoms and B-ones for the mixed-spin model, has been considered in a zero field. The free energy of a mixed-spin Ising ferrimagnetic system from MFA of the Hamiltonian is calculated. By minimizing the free energy, we obtain the equilibrium magnetizations and the compensation points. The phase diagram of the system in the anisotropy dependence of transition temperature has been discussed as well. Our results of this model predict the existence of many (two or three) compensation points in the ordered system on a simple cubic lattice.

HYSTERESIS STUDIES IN COUPLED MAP LATTICES

1999 ◽  
Vol 13 (22n23) ◽  
pp. 809-817 ◽  
Author(s):  
RENUKA RAI ◽  
HARJINDER SINGH
Keyword(s):  
Hysteresis Loop ◽  
Coupling Strength ◽  
Signal To Noise Ratio ◽  
Coupled Map Lattices ◽  
Hysteresis Phenomenon ◽  
Signal To Noise ◽  
Loop Area ◽  
Spatially Extended ◽  
Hysteresis Loop Area ◽  
Spatially Extended Systems

We have studied hysteresis phenomenon in spatially extended systems and investigated the effect of additive and parametric noises. We observe that the behavior of hysteresis loop area as a function of coupling strength is different for additive and parametric noises. It is interesting to observe that behavior of hysteresis loop area is analogous to the behavior of the signal-to-noise ratio [Phys. Rev.E56, 2518 (1997)].

Asymptotic behavior of velocity process in the Smoluchowski–Kramers approximation for stochastic differential equations

1991 ◽  
Vol 23 (2) ◽  
pp. 317-326 ◽  
Author(s):  
Kiyomasa Narita
Keyword(s):  
Mean Field ◽  
Planck Equation ◽  
Equation Of Motion ◽  
Distribution Functions ◽  
Two Dimensional ◽  
Large Parameter ◽  
Uhlenbeck Process ◽  
One Dimensional ◽  
Kramers Equation ◽  
Non Linear Oscillator

Here a response of a non-linear oscillator of the Liénard type with a large parameter α ≥ 0 is formulated as a solution of a two-dimensional stochastic differential equation with mean-field of the McKean type. This solution is governed by a special form of the Fokker–Planck equation such as the Smoluchowski–Kramers equation, which is an equation of motion for distribution functions in position and velocity space describing the Brownian motion of particles in an external field. By a change of time and displacement we find that the velocity process converges to a one-dimensional Ornstein–Uhlenbeck process as α →∞.

scholarly journals Extraction of nucleus-nucleus potential and energy dissipation from dynamical mean-field theory

2009 ◽  
Author(s):  
Kouhei Washiyama ◽  
Denis Lacroix ◽  
K. Ernst Rehm ◽  
Birger B. Back ◽  
Henning Esbensen ◽  
...  
Keyword(s):  
Field Theory ◽  
Energy Dissipation ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamical Mean Field Theory
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