Comment on "Hole-burning experiments within glassy models with infinite range interactions".
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Biomedical subjects
R V Chamberlin
Publications and source records attributed to R V Chamberlin.
Mean-field cluster model for the critical behaviour of ferromagnets.
Two separate theories are often used to characterize the paramagnetic properties of ferromagnetic materials. At temperatures T well above the Curie temperature, Tc (where the transition from paramagnetic to ferromagnetic behaviour occurs), classical mean-field theory yields the Curie-Weiss law for the magnetic susceptibility: X(T) infinity 1/(T - Weiss constant), where Weiss constant is the Weiss constant. Close to Tc, however, the standard mean-field approach breaks down so that better agreement with experimental data is provided by critical scaling theory: X(T) infinity 1/(T - Tc)gamma, where gamma is a scaling exponent. But there is no known model capable of predicting the measured values of gamma nor its variation among different substances. Here I use a mean-field cluster model based on finite-size thermostatistics to extend the range of mean-field theory, thereby eliminating the need for a separate scaling regime. The mean-field approximation is justified by using a kinetic-energy term to maintain the microcanonical ensembles. The model reproduces the Curie-Weiss law at high temperatures, but the classical Weiss transition at Tc = Weiss constant is suppressed by finite-size effects. Instead, the fraction of clusters with a specific amount of order diverges at Tc, yielding a transition that is mathematically similar to Bose-Einstein condensation. At all temperatures above Tc, the model matches the measured magnetic susceptibilities of crystalline EuO, Gd, Co and Ni, thus providing a unified picture for both the critical-scaling and Curie-Weiss regimes.
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Extension of the thermodynamics of small systems to open metastable states: an example.
By using a simplified model of small open liquid-like clusters with surface effects, in the gas phase, it is shown how the statistical thermodynamics of small systems can be extended to include metastable supersaturated gaseous states not too far from the gas-liquid equilibrium transition point. To accomplish this, one has to distinguish between mathematical divergence and physical convergence of the open-system partition function.
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