Phase transitions in Edwards–Anderson model by means of information theory

Vogel, E.E.; Saravia, Gonzalo; Bachmann, F.; Fierro, B.; Fischer, Janine

doi:10.1016/j.physa.2009.06.010

Cited by 24 publications

(28 citation statements)

References 8 publications

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“…The usual crossing methods [1] give a clear transition temperature for concentrations x o0: 22. This is illustrated in Fig.…”

Section: Introductionmentioning

confidence: 79%

“…Here we will also use an alternative way by means of the crossing of autocorrelation functions [1,2], since to our knowledge this technique has not been applied to 3D systems so far. We make use of the following relationship to define the time autocorrelation function (TAF) to be used below:…”

Section: Crossing Methodsmentioning

confidence: 99%

“…Time evolution will be handled as previously defined in the literature [1] in a process that can be summarized in the following way. Several samples for a given concentration x are randomly prepared; one sample at a time is subject to the simulation described next.…”

Section: Monte Carlo Simulationsmentioning

confidence: 99%

“…However, less techniques are available for complex systems where the ground manifold is disconnected and spread over many "valleys" in the configuration space, which is usually full of metatstable states acting as traps for any dynamics. The recent proposal of a method based on information theory [1], namely, data compression techniques applied to obtain the phase diagram of 2D diluted ferromagnets, opens a new possibility to deal with these problems. In particular the proposal of a new data compressor, named wlzip [2], allows to improve the determination of critical temperatures.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Phase diagram and reentrance for the 3D Edwards–Anderson model using information theory

Cortez¹,

Saravia²,

Vogel³

2014

Journal of Magnetism and Magnetic Materials

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“…The usual crossing methods [1] give a clear transition temperature for concentrations x o0: 22. This is illustrated in Fig.…”

Section: Introductionmentioning

confidence: 79%

Section: Crossing Methodsmentioning

confidence: 99%

Section: Monte Carlo Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Phase diagram and reentrance for the 3D Edwards–Anderson model using information theory

Cortez¹,

Saravia²,

Vogel³

2014

Journal of Magnetism and Magnetic Materials

Self Cite

View full text Add to dashboard Cite

“…However, the magnetic switches presented in the Introduction will respond instantaneously and without having the chance of performing derivatives, averages or even more sophisticated mathematical analyses, like the crossing of Binder cumulants [59] or the crossing of autocorrelation functions [60], to decide which is the appropriate value for the sensitive temperature. In these examples and in all nanosized devices, a careful analysis of the thermodynamics of the object in terms of the desired property should be appropriately done.…”

Section: Resultsmentioning

confidence: 99%

Thermodynamics of Small Magnetic Particles

Vogel

Vargas

Saravia

et al. 2017

Entropy

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Abstract:In the present paper, we discuss the interpretation of some of the results of the thermodynamics in the case of very small systems. Most of the usual statistical physics is done for systems with a huge number of elements in what is called the thermodynamic limit, but not all of the approximations done for those conditions can be extended to all properties in the case of objects with less than a thousand elements. The starting point is the Ising model in two dimensions (2D) where an analytic solution exits, which allows validating the numerical techniques used in the present article. From there on, we introduce several variations bearing in mind the small systems such as the nanoscopic or even subnanoscopic particles, which are nowadays produced for several applications. Magnetization is the main property investigated aimed for two singular possible devices. The size of the systems (number of magnetic sites) is decreased so as to appreciate the departure from the results valid in the thermodynamic limit; periodic boundary conditions are eliminated to approach the reality of small particles; 1D, 2D and 3D systems are examined to appreciate the differences established by dimensionality is this small world; upon diluting the lattices, the effect of coordination number (bonding) is also explored; since the 2D Ising model is equivalent to the clock model with q = 2 degrees of freedom, we combine previous results with the supplementary degrees of freedom coming from the variation of q up to q = 20. Most of the previous results are numeric; however, for the case of a very small system, we obtain the exact partition function to compare with the conclusions coming from our numerical results. Conclusions can be summarized in the following way: the laws of thermodynamics remain the same, but the interpretation of the results, averages and numerical treatments need special care for systems with less than about a thousand constituents, and this might need to be adapted for different properties or devices.

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Onshore versus offshore capacity factor and reliability for wind energy production in Germany: 2010–2022

Vogel,

Saravia,

Kobe

et al. 2024

Energy Science & Engineering

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Similarities and differences between the features related to the productivity of onshore and offshore wind energy are developed with the aid of information theory techniques complemented by normal statistics. The data comes from the 13‐year period between 2010 and 2022 for the registered turbines in Germany (practically all). The information content of the generated power is dynamically measured by the mutability of the files storing the information. Monthly statistics show that in spite of the Summer months being relatively unproductive, the corresponding mutability shows the possibility of making use of short periods of intermediate productivity in the case of offshore plants. Favorable conditions for wind energy generation in Wintertime are reached for both onshore and offshore production, although the latter is favored. More homogeneity and stability in the data are still necessary to generalize algorithms, protocols, and criteria. This general study shows the success of the information theory techniques in describing wind ramps. Applications to specific zones could improve the efficiency and capacity factor of particular wind turbines depending on their exposure to wind streams or the blocking of nearby mountains and forestry. The information theory techniques presented here allow for a different and novel viewpoint to detect favorable and unfavorable wind energy periods.

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Phase transitions in Edwards–Anderson model by means of information theory

Cited by 24 publications

References 8 publications

Phase diagram and reentrance for the 3D Edwards–Anderson model using information theory

Phase diagram and reentrance for the 3D Edwards–Anderson model using information theory

Thermodynamics of Small Magnetic Particles

Onshore versus offshore capacity factor and reliability for wind energy production in Germany: 2010–2022

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