Temperature chaos in 3D Ising spin glasses is driven by rare events

Temperature chaos has often been reported in the literature as a rare-event–driven phenomenon. However, this fact has always been ignored in the data analysis, thus erasing the signal of the chaotic behavior (still rare in the sizes achieved) and leading to an overall picture of a weak and gradual phenomenon. On the contrary, our analysis relies on a largedeviations functional that allows to discuss the size dependences. In addition, we had at our disposal unprecedentedly large configurations equilibrated at low temperatures, thanks to the Janus computer. According to our results, when temperature chaos occurs its effects are strong and can be felt even at short distances.

Static versus dynamic heterogeneities in the D=3 Edwards-Anderson-ising spin glass

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in equilibrium have static heterogeneities that obey finite-size scaling, thus signaling an analogous phase transition in the thermodynamical limit. We compute the critical exponents and the transition point in the equilibrium setting, and use them to show that aging in dynamic heterogeneities can be described by a finite-time scaling ansatz, with potential implications for experimental work.

Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions

By performing a high-statistics simulation of the D = 4 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high accuracy the complete set of critical exponents for this class, including the correction-to-scaling exponent. Our results indicate that in four dimensions (i) dimensional reduction as predicted by the perturbative renormalization group does not hold and (ii) three independent critical exponents are needed to describe the transition.

Off-equilibrium fluctuation-dissipation relations in the 3d Ising spin glass in a magnetic field

We study the fluctuation-dissipation relations for a three dimensional Ising spin glass in a magnetic field both in the high temperature phase as well as in the low temperature one. In the region of times simulated we have found that our results support a picture of the low temperature phase with broken replica symmetry, but a droplet behavior cannot be completely excluded.

Variabilidad de la inactivación microbiana y de la fase de latencia de los microorganismos supervivientes a un proceso de acidificación

A la industria alimentaria se le exigen productos seguros, nutritivos, apetecibles y de uso cómodo y rápido. Aunar todos esos calificativos en un solo alimento es ardua tarea. Valgan dos ejemplos. Un tratamiento conservante intenso, de buenas perspectivas sanitarias, suele conllevar una pérdida de valor nutritivo y unas características sensoriales poco atractivas. El manejo de los alimentos para transformarlos en productos listos pare el consumo implica la asunción de ciertos riesgos microbiológicos, mayores que los asumidos en productos sin manipulación. ¿Cómo responder ante el incremento de riesgos y peligros que se ciernen sobre los “nuevos alimentos”? Una alternativa que ha ganado correligionarios es la microbiología predictiva. Es una herramienta útil, a disposición de cualquier entidad interesada en los alimentos, que predice, mediante modelos matemáticos, el comportamiento microbiano bajo ciertas condiciones. La mayoría de los modelos disponibles predicen valores únicos (a cada valor de la variable independiente le corresponde un único valor de la dependiente); han demostrado su eficacia durante décadas a base de tratamientos sobredimensionados para salvaguardar la calidad microbiológica de los alimentos y predicen una media, sin considerar la variabilidad. Considérese un valor de reducción decimal, D, de 1 minuto. Si el producto contiene 103 ufc/g, un envase de 1 Kg que haya pasado por un tratamiento 6D, contendrá 1 célula viable. Hasta aquí la predicción de un modelo clásico. Ahora piénsese en una producción industrial, miles de envases de 1 Kg/h. ¿Quién puede creerse que en todos ellos habrá 1 microorganismo superviviente? ¿No es más creíble que en unos no quedará ningún viable, en muchos 1, en otros 2, 3 y quizás en los menos 5 ó 6? Los modelos que no consideran la variabilidad microbiana predicen con precisión la tasa de crecimiento pero han fracasado en la predicción de la fase de latencia...

Universal critical behavior of the two-dimensional Ising spin glass

We use finite size scaling to study Ising spin glasses in two spatial dimensions. The issue of universality is addressed by comparing discrete and continuous probability distributions for the quenched random couplings. The sophisticated temperature dependency of the scaling fields is identified as the major obstacle that has impeded a complete analysis. Once temperature is relinquished in favor of the correlation length as the basic variable, we obtain a reliable estimation of the anomalous dimension and of the thermal critical exponent. Universality among binary and Gaussian couplings is confirmed to a high numerical accuracy.

Efficient numerical methods for the random-field Ising model: Finite-size scaling, reweighting extrapolation, and computation of response functions

It was recently shown [Phys. Rev. Lett. 110, 227201 (2013)] that the critical behavior of the random-field Ising model in three dimensions is ruled by a single universality class. This conclusion was reached only after a proper taming of the large scaling corrections of the model by applying a combined approach of various techniques, coming from the zero-and positive-temperature toolboxes of statistical physics. In the present contribution we provide a detailed description of this combined scheme, explaining in detail the zero-temperature numerical scheme and developing the generalized fluctuation-dissipation formula that allowed us to compute connected and disconnected correlation functions of the model. We discuss the error evolution of our method and we illustrate the infinite limit-size extrapolation of several observables within phenomenological renormalization. We present an extension of the quotients method that allows us to obtain estimates of the critical exponent a of the specific heat of the model via the scaling of the bond energy and we discuss the self-averaging properties of the system and the algorithmic aspects of the maximum-flow algorithm used.

Critical behavior of the three-dimensional Ising spin glass

We have simulated, using parallel tempering, the three-dimensional Ising spin glass model with binary couplings in a helicoidal geometry. The largest lattice (L520) has been studied using a dedicated computer (the SUE machine). We have obtained, measuring the correlation length in the critical region, strong evidence for a second-order finite-temperature phase transition, ruling out other possible scenarios like a KosterlitzThouless phase transition. Precise values for the ν and ƞ critical exponents are also presented.