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R Kenna

Publications and source records attributed to R Kenna.

6 recordsLinked to original sources
PubMed2006

Self-consistent scaling theory for logarithmic-correction exponents.

Multiplicative logarithmic corrections frequently characterize critical behavior in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account for circumstances which often occur when the leading specific-heat critical exponent vanishes. Also, the theory is widened to encompass the correlation function. The new relations are then confronted with results from the literature, and some new predictions for logarithmic corrections in certain models are made.

Journal Article↗
PubMed2006

Scaling relations for logarithmic corrections.

Multiplicative logarithmic corrections to scaling are frequently encountered in the critical behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used to systematically analyze the exponents of such logarithms and to propose scaling relations between them. These proposed relations are then confronted with a variety of results from the literature.

Journal Article↗
PubMed2003

Information geometry of the spherical model.

Motivated by the observation that geometrizing statistical mechanics offers an interesting alternative to more standard approaches, we calculate the scaling behavior of the curvature R of the information geometry metric for the spherical model. We find that R approximately epsilon(-2), where epsilon=beta(c)-beta is the distance from criticality. The discrepancy from the naively expected scaling R approximately epsilon(-3) is explained and compared with that for the Ising model on planar random graphs, which shares the same critical exponents.

Journal Article↗
PubMed1993

Endoscopic ACL reconstruction.

The endoscopic technique offers the advantage of one incision and a femoral osseous tunnel trajectory that is more in line with the collagen fibers of the graft. Technically, it is more demanding to reproducibly obtain the interference fixation than using the two-incision technique. There is a tendency for screw and graft divergence in the femoral tunnel. The exact clinical significance of this screw and bone plug divergence has yet to be clarified. Surgeons must assess their ability to obtain the best results for the patient. There is a definite learning curve for the endoscopic technique. We believe that, with further advances in instrumentation, fixation, and alternative grafts, it will eventually be the approach of preference for ACL reconstructions.

Anterior Cruciate Ligament↗