Positive realization for 2D systems with delays

Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Entropy ◽  
2019 ◽  
Vol 22 (1) ◽  
pp. 11 ◽  
Author(s):  
Edward Bormashenko

Entropy is usually understood as the quantitative measure of “chaos” or “disorder”. However, the notions of “chaos” and “disorder” are definitely obscure. This leads to numerous misinterpretations of entropy. We propose to see the disorder as an absence of symmetry and to identify “ordering” with symmetrizing of a physical system; in other words, introducing the elements of symmetry into an initially disordered physical system. We demonstrate with the binary system of elementary magnets that introducing elements of symmetry necessarily diminishes its entropy. This is true for one-dimensional (1D) and two-dimensional (2D) systems of elementary magnets. Imposing symmetry does not influence the Landauer principle valid for the addressed systems. Imposing the symmetry restrictions onto the system built of particles contained within the chamber divided by the permeable partition also diminishes its entropy.


2012 ◽  
Vol 26 (15) ◽  
pp. 1250078 ◽  
Author(s):  
BRANKO MARKOSKI ◽  
JOVAN P. ŠETRAJČIĆ ◽  
MIROSLAVA PETREVSKA ◽  
SINIŠA VUČENOVIĆ

A microscopic theory of dielectric properties of thin molecular films, i.e., quasi 2D systems bounded by two surfaces parallel to XY planes was formulated. Harmonic exciton states were calculated using the method of two-time, retarded, temperature dependent Green's functions. It has been shown that two types of excitations can occur: bulk and surface exciton states. Analysis of the optical properties of these crystalline systems for low exciton concentration shows that the permittivity strongly depends on boundary parameters and the thickness of the film. Conditions for the appearance of localized or unoccupied exciton states have been especially analyzed.


Physica B+C ◽  
1983 ◽  
Vol 117-118 ◽  
pp. 646-648 ◽  
Author(s):  
R.A. Höpfel ◽  
E. Gornik ◽  
A.C. Gossard ◽  
W. Wiegmann

1986 ◽  
Vol 174 (1-3) ◽  
pp. A446
Author(s):  
J. Shah ◽  
A. Pinczuk ◽  
A.C. Gossard ◽  
W. Wiegmann ◽  
K. Kash
Keyword(s):  

1993 ◽  
Vol 71 (11) ◽  
pp. 1716-1719 ◽  
Author(s):  
P. Bassereau ◽  
D. Brodbreck ◽  
T. P. Russell ◽  
H. R. Brown ◽  
K. R. Shull

Author(s):  
Ettore Fornasini ◽  
Giovanni Marchesini
Keyword(s):  

2017 ◽  
Vol 28 (08) ◽  
pp. 1750099
Author(s):  
F. W. S. Lima

We investigate the critical properties of the equilibrium and nonequilibrium two-dimensional (2D) systems on Solomon networks with both nearest and random neighbors. The equilibrium and nonequilibrium 2D systems studied here by Monte Carlo simulations are the Ising and Majority-vote 2D models, respectively. We calculate the critical points as well as the critical exponent ratios [Formula: see text], [Formula: see text], and [Formula: see text]. We find that numerically both systems present the same exponents on Solomon networks (2D) and are of different universality class than the regular 2D ferromagnetic model. Our results are in agreement with the Grinstein criterion for models with up and down symmetry on regular lattices.


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