نتایج جستجو برای: critical point
تعداد نتایج: 967329 فیلتر نتایج به سال:
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Resolution of Singularities, Asymptotic Expansions of Integrals Over Sublevel Sets, and Applications
Here φ(x) is a smooth bump function defined on a neighborhood of the origin and λ is a real parameter whose absolute value we assume to be large. If ∇f(0) 6= 0, then by repeated integrations by parts (see [S] Ch 8 for example), for any N one has an estimate |Iλ| < Cf,φ,N |λ|−N for appropriate constants Cf,φ,N . In the case where ∇f(0) = 0, that is, when f has a critical point at the origin, it ...
Homoclinic chaos is usually examined with the hypothesis of hyperbolicity of the critical point. We consider here, following a (suitably adjusted) classical analytic method, the case of non-hyperbolic points and show that, under a Melnikov-type condition plus an additional assumption, the negatively and positively asymptotic sets persist under periodic perturbations, together with their infinit...
The influence of the HBT effect on the multiplicity distribution and charge ratios of independently produced pions is studied. It is shown that, for a wide class of models, there is a critical point, where the average number of pions becomes very large and the multiplicity distibution becomes very broad. In this regime unusual charge ratios (" centauros " , " anticentauros ") are strongly enhan...
Chunyan He, Yongzhi Liao, and Yongkun Li 1 Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China 2 School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China Correspondence should be addressed to Yongkun Li; [email protected] Received 24 October 2012; Revised 20 December 2012; Accepted 21 December 2012 Academic Editor: Wan-Tong Li Cop...
We use the Renormalization Group method to study the Bose-Einstein condensation of the interacting dilute magnons which appears in three dimensional spin systems in magnetic field. The obtained temperature dependence of the critical field Hc(T) – Hc(0) ~ T 2 is different from the recent self-consistent Hartree-FockPopov calculations (cond-matt 0405422) in which a T 3/2 dependence was reported. ...
Two kinds of statistical properties of dynamical-triangulated manifolds (DT mfds) have been investigated. First, the surfaces appearing on the boundaries of 3D DT mfds were investigated. The string-susceptibility exponent of the boundary surfaces (˜ γst) of 3D DT mfds with S 3 topology near to the critical point was obtained by means of a MINBU (minimum neck baby universes) analysis; actually, ...
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