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Y Kantor

Publications and source records attributed to Y Kantor.

At least 19 recordsLinked to original sources

Entropic elasticity of two-dimensional self-avoiding percolation systems

The sol-gel transition is studied on a purely entropic two-dimensional model system consisting of hard spheres (disks) in which a fraction p of neighbors are tethered by inextensible bonds. We use a new method to measure directly the elastic properties of the system. We find that over a broad range of hard sphere diameters a the rigidity threshold is insensitive to a and indistinguishable from the percolation threshold p(c). Close to p(c), the shear modulus behaves as (p-p(c))(f), where the exponent f approximately 1. 3 is independent of a and is similar to the conductivity exponent in random resistor networks.

Journal Article↗

Elasticity of gaussian and nearly gaussian phantom networks

We study the elastic properties of phantom networks of Gaussian and nearly Gaussian springs. We show that the stress tensor of a Gaussian network coincides with the conductivity tensor of an equivalent resistor network, while its elastic constants vanish. We use a perturbation theory to analyze the elastic behavior of networks of slightly non-Gaussian springs. We show that the elastic constants of phantom percolation networks of nearly Gaussian springs have a power-law dependence on the distance of the system from the percolation threshold, and we derive bounds on the exponents.

Journal Article↗

Diabetic dermopathy and internal complications in diabetes mellitus.

BACKGROUND: Diabetic dermopathy is the most common cutaneous marker of diabetes mellitus. The relationship of diabetic dermopathy to internal complications of diabetes mellitus, such as nephropathy, retinopathy, and neuropathy, is still unknown. METHODS: The possible role of diabetic dermopathy as a clinical sign of internal complications in diabetes mellitus was investigated. One hundred and seventy-three patients with diabetes mellitus, of whom 125 (72%) had insulin-dependent diabetes mellitus and 48 (28%) had non-insulin-dependent diabetes mellitus, were studied. RESULTS: Diabetic dermopathy was present in 69 (40%) of patients, statistically more significant in patients 50 years of age and older. The mean diabetic duration was significantly higher in patients with diabetic dermopathy than in those without. The associations of diabetic dermopathy with retinopathy, nephropathy, and neuropathy were each statistically significant, and the increased frequency of diabetic dermopathy correlated with an increased number of these three complications in each patient. CONCLUSIONS: Some of the factors that affect the development of internal complications in diabetes mellitus may play a role in the development of diabetic dermopathy, and diabetic dermopathy may serve as a clinical sign of an increased likelihood of these internal complications in diabetic patients.

Adolescent↗