The ???50-50 Criteria??? on Postoperative Day 5

ConnCensus Vol. 50 No. 5

0 50 50 67 v 1 2 5 M ay 2 00 5 The geometry of the Mel ’ nikov “ function ”

We make explicit the geometric content of Mel’nikov’s method for detecting heteroclinic points between transversally hyperbolic periodic orbits. After developing the general theory of intersections for pairs of family of Lagrangian submanifolds constrained to live in an auxiliary family of submanifolds, we explain how the heteroclinic orbits are detected by the zeros of the Mel’nikov 1-form. Th...

50 on 50-GeV Muon Collider Storage Ring

Two modes are being considered for a 50 on 50-GeV muon collider: one being a high-luminosity ring with broad momentum acceptance (dp/p of ∼ 0.12%, rms) and the other lower luminosity with narrow momentum acceptance (dp/p of ∼ 0.003%, rms), or Higgs Factory. To reach the design luminosities, the value of beta at collision in the two rings must be 4 cm and 14 cm, respectively. In addition, the bu...

co nd - m at / 9 50 50 64 15 M ay 1 99 5 Phase

Localization of ux lines to splayed columnar pins is studied. A sine-Gordon type renormalization group study reveals the existence of a Splay glass phase and yields an analytic form for the transition temperature into the glass phase. As an independent test, the I V characteristics are determined via a Molecular Dynamics code. The glass transition temperature supports the RG results convincingl...

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