Monte Carlo Methods for Estimating Interfacial Free Energies and Line Tensions

Excess contributions to the free energy due to interfaces occur for many problems encountered in the statistical physics of condensed matter when coexistence between different phases is possible (e.g. wetting phenomena, nucleation, crystal growth, etc.). This article reviews two methods to estimate both interfacial free energies and line tensions by Monte Carlo simulations of simple models, (e.g. the Ising model, a symmetrical binary Lennard-Jones fluid exhibiting a miscibility gap, and a simple Lennard-Jones fluid). One method is based on thermodynamic integration. This method is useful to study flat and inclined interfaces for Ising lattices, allowing also the estimation of line tensions of three-phase contact lines, when the interfaces meet walls (where "surface fields" may act). A generalization to off-lattice systems is described as well. The second method is based on the sampling of the order parameter distribution of the system throughout the two-phase coexistence region of the model. Both the interface free energies of flat interfaces and of (spherical or cylindrical) droplets (or bubbles) can be estimated, including also systems with walls, where sphere-cap shaped wall-attached droplets occur. The curvature-dependence of the interfacial free energy is discussed, and estimates for the line tensions are compared to results from the thermodynamic integration method. Basic limitations of all these methods are critically discussed, and an outlook on other approaches is given

A DNA mismatch repair gene links to the Ph2 locus in wheat

DNA mismatch repair is an essential system for maintaining genetic stability in bacteria and higher eukaryotes. Based on the conserved regions of the bacterial MutS gene and its homologues in yeast and human, a wheat cDNA homologue of MSH6, designated TaMSH7, was isolated by RT–PCR. The deduced amino acid sequence of TaMSH7 shows conserved domains characteristic of other MSH6 genes, with highest similarity to maize MSH7 and Arabidopsis MSH7. TaMSH7 is expressed in meristem tissue associated with a high level of mitotic and meiotic activity, with maximum expression in the reproductive organs of young flower spikes. TaMSH7 is located on the short arms of chromosomes 3A, 3B, and 3D and has been mapped within barley chromosome 3HS. The copy on 3DS is located within the region deleted in the wheat mutant ph2a, which shows altered recombination frequency in the interspecific hybrids. The relationship between the ph2a mutant and TaMSH7 gene function is discussed.Chongmei Dong, Ryan Whitford, and Peter Langridg

Biology

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