scholarly journals Thermodynamic Efficiency of Interactions in Self-Organizing Systems

Entropy ◽  
2021 ◽  
Vol 23 (6) ◽  
pp. 757
Author(s):  
Ramil Nigmatullin ◽  
Mikhail Prokopenko
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
External Field ◽  
Thermodynamic Efficiency ◽  
Control Parameters ◽  
Global Order ◽  
Exactly Solvable ◽  
Fully Connected ◽  
Second Order Phase Transition ◽  
Self Organizing

The emergence of global order in complex systems with locally interacting components is most striking at criticality, where small changes in control parameters result in a sudden global reorganization. We study the thermodynamic efficiency of interactions in self-organizing systems, which quantifies the change in the system’s order per unit of work carried out on (or extracted from) the system. We analytically derive the thermodynamic efficiency of interactions for the case of quasi-static variations of control parameters in the exactly solvable Curie–Weiss (fully connected) Ising model, and demonstrate that this quantity diverges at the critical point of a second-order phase transition. This divergence is shown for quasi-static perturbations in both control parameters—the external field and the coupling strength. Our analysis formalizes an intuitive understanding of thermodynamic efficiency across diverse self-organizing dynamics in physical, biological, and social domains.

scholarly journals Phase Transition in Ferromagnetic Ising Model with a Cell-Board External Field

2015 ◽  
Vol 162 (1) ◽  
pp. 139-161
Author(s):  
Manuel González-Navarrete ◽  
Eugene Pechersky ◽  
Anatoly Yambartsev
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
External Field ◽  
A Cell ◽  
Ferromagnetic Ising Model

ISING MODEL SIMULATIONS ON THE MANIFOLDS OF TWO-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (17) ◽  
pp. 1615-1628 ◽  
Author(s):  
M. E. AGISHTEIN ◽  
C. F. BAILLIE
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Quantum Gravity ◽  
Cluster Algorithm ◽  
Sampling Technique ◽  
Analytical Prediction ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Model Simulations ◽  
Second Order Phase Transition

The Ising model is stimulated on the manifolds of 2-dimensional quantum gravity, which are represented by fixed random triangulations (so-called quenched Ising model). Unlike the case of the Ising model on a dynamical random triangulation, there is no analytical prediction for the quenched case, since these manifolds do not have internal Hausdorff dimension and the problem cannot be formulated in matrix model language. The recursive sampling technique is used to generate the triangulations, lattice sizes being up to ten thousand triangles. The Metropolis algorithm was used for the spin update in order to obtain the initial estimation of the Curie point. After that we used the Wolff cluster algorithm in the critical region. We observed a second order phase transition, similar to that for the Ising model on a regular 2-dimensional lattice, and measured the critical exponents.

AN EXACTLY SOLVABLE TWO-FOLD CAYLEY TREE MODEL

1989 ◽  
Vol 03 (10) ◽  
pp. 1523-1537 ◽  
Author(s):  
CAN F. DELALE
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Cayley Tree ◽  
Spontaneous Magnetization ◽  
Zero Field ◽  
Tree Graph ◽  
Tree Model ◽  
Exactly Solvable ◽  
Ferromagnetic Ising Model

A two-fold Cayley tree graph with fully q-coordinated sites is constructed and the ferromagnetic Ising model on the constructed graph is solved exactly. It is shown that a phase transition results in zero field at the critical Bethe temperature with spontaneous magnetization below the critical Bethe temperature.

scholarly journals KINETIC INDUCED PHASE TRANSITION

1999 ◽  
Vol 13 (20) ◽  
pp. 2637-2644 ◽  
Author(s):  
STEFFEN TRIMPER
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
External Field ◽  
Applied Field ◽  
Glauber Dynamics ◽  
Equation Approach ◽  
Static Interaction ◽  
Master Equation Approach ◽  
Spin Flips ◽  
Quantum Formulation

An Ising model with local Glauber dynamics is studied under the influence of additional kinetic restrictions for the spin-flip rates depending on the orientation of neighboring spins. Even when the static interaction between the spins is completely eliminated and only an external field is taken into account the system offers a phase transition at a finite value of the applied field. The transition is realized due to a competition between the activation processes driven by the field and the dynamical rules for the spin-flips. The result is based on a master equation approach in a quantum formulation.

Electrolytic Hydriding of La(Fe, Si)13 Based Materials and its Magnetocaloric Effect

2014 ◽  
Vol 809-810 ◽  
pp. 443-448 ◽  
Author(s):  
Kun Yang ◽  
Na Tian ◽  
Cai Yin You
Keyword(s):  
Phase Transition ◽  
Magnetic Properties ◽  
External Field ◽  
Curie Temperature ◽  
Surface Morphology ◽  
Order Phase Transition ◽  
Magnetic Entropy Change ◽  
Entropy Change ◽  
Magnetic Entropy ◽  
Second Order Phase Transition

In this paper, the hydriding of La (Fe, Fe)13 based alloys was realized by the electrolytic method and the effect of electrolytic temperature on the hydriding was investigated. The phase components and surface morphology were analyzed by XRD and SEM. The magnetic properties of samples were characterized using VSM. Results showed that the electrolytic hydriding process was enhanced by increasing the electrolytic temperature. The Curie temperature was increased from 196 K to 325 K. Through Arrot-plot analyses, it was found that the phase transition of samples tends to be a second order phase transition. The magnetic entropy change was reduced from 8.03 J/(kg•K) to 2.03 J/(kg•K) under a maximum external field of 1.5 T.

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