Two-dimensional melting

Halperin B I and Nelson D R 1978 Theory of two-dimensional melting Phys.Rev.Lett 121-4 Erratum 41... 

Various techniques might be used to detect such a two-dimensional melt in membranes, but differential scanning calorimetry (DSC) is particularly useful because membranes can be examined under physiological conditions and results can be made quantitative in a straightforward manner. In DSC a sample and a thermally inert reference (lacking a transition) are both heated at a constant rate. The measured parameter is the difference in power input between the sample and reference necessary to maintain identical heating rates for both. If no... 

Two-dimensional melts are quite different. The thermal blob for a dilute A polymer in a two-dimensional melt of chemically identical B polymers with excluded area a h /N can be estimated in a similar way. The... 

The chains in a monodisperse two-dimensional melt are roughly the size of a thermal blob and are therefore barely ideal. The number of the other chains in a pervaded area of a given chain is the product of this area Nb and the two-dimensional number density of chains 1 jNb and is of the order of unity (Pss 1). Thus, chains do not significantly interpenetrate each other in two dimensions. This is the expected result whenever the fractal dimension of the object and the dimension of space are the same. 

D. The Kosterlitz-Thouless-Halperin-Nelson-Young Theory of Two-Dimensional Melting... 

Density-Functional Theories of Two-Dimensional Melting Simulation Studies of Liquid Structure and Melting in Two Dimensions A. Introduction... 

V. GEOMETRICAL DEFECT CONDENSATION MODELS FOR TWO-DIMENSIONAL MELTING... 

Y. Tang, Study of Two Dimensional Melting in Colloidal Monolayers, Ph.D. thesis, University of Colorado, Boulder, 1989. 

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