Thermal fluctuations and rubber elasticity

The effects of thermal elastic fluctuations in rubbery materials are examined. It is shown that, due to their interplay with the incompressibility constraint, these fluctuations qualitatively modify the large-deformation stress-strain relation, compared to that of classical rubber elasticity. To leading order, this mechanism provides a simple and generic explanation for the peak structure of Mooney-Rivlin stress-strain relation and shows good agreement with experiments. It also leads to the prediction of a phonon correlation function that depends on the external deformation.     

Application of the generalized internal reference method for the characterization of parameters causing drift in inductively-coupled plasma emission spectrometry

Drift in signals limits the performance of inductively-coupled plasma (i.c.p.) emission spectrometry. The generalized internal reference method was applied to deconvolute the drift of an i.c.p. system. The plasma parameters were correlated to the drift components and the error boundary for the method was found. In the system studied, it was found that fluctuations in the nebulizer uptake rate were responsible for short-term signal changes. Long-term signal drift was caused mainly by flow variations of both cooling gas and aerosol carrier gas. The incident power to the plasma was found to be stable compared to other sources of drift. The method was found to be adequate for evaluating the origins of i.c.p. drift.     

Squeezing superfluid from a stone: coupling superfluidity and elasticity in a supersolid

Starting from the assumption that the normal solid to supersolid (NS-SS) phase transition is continuous, we develop a phenomenological Landau theory of the transition in which superfluidity is coupled to the elasticity of the crystalline lattice. We find that the elasticity does not affect the universal properties of the superfluid transition, so that in an unstressed crystal the well-known anomaly in the heat capacity of the superfluid transition should also appear at the NS-SS transition. We also find that the onset of supersolidity leads to anomalies in the elastic moduli and thermal expansion coefficients near the transition and, conversely, that inhomogeneous lattice strains can induce local variations of the superfluid transition temperature, leading to a broadened transition.     

Cavity approach to the random solid state

The cavity approach is used to address the physical properties of random solids in equilibrium. Particular attention is paid to the fraction of localized particles and the distribution of localization lengths characterizing their thermal motion. This approach is of relevance to a wide class of random solids, including rubbery media (formed via the vulcanization of polymer fluids) and chemical gels (formed by the random covalent bonding of fluids of atoms or small molecules). The cavity approach confirms results that have been obtained previously via replica mean-field theory, doing so in a way that sheds new light on their physical origin.