Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomers

We present a unified formulation of a rotationally invariant nonlinear elasticity for a variety of spontaneously anisotropic phases, and use it to study thermal fluctuations in nematic elastomers and spontaneously anisotropic gels. We find that in a thermodynamic limit homogeneous nematic elastomers are universally incompressible, are characterized by a universal ratio of shear moduli, and exhibit an anomalous elasticity controlled by a nontrivial low temperature fixed point perturbative in D=3-epsilon dimensions. In three dimensions, we make predictions that are asymptotically exact.Comment: 4 RevTeX pgs,,submitted to Europhysics Letter

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New Time Distributions of D^0-\bar{D}^0 or B^0-\bar{B}^0 Mixing and CP Violation

The formulae for D^0-\bar{D}^0 or B^0-\bar{B}^0 mixing and CP violation at the \tau-charm or B-meson factories are derived, for the case that only the decay-time distribution of one D or B meson is to be measured. In particular, we point out a new possibility to determine the D^0-\bar{D}^0 mixing rate in semileptonic D decays at the \Psi (4.14) resonance; and show that both direct and indirect CP asymmetries can be measured at the \Upsilon (4S) resonance without ordering the decay times of two B_d mesons or measuring their difference.Comment: LaTex 10 pages (3 figures). Phys. Lett. B (in printing

Lepton Mass Hierarchy and Neutrino Mixing

We speculate that the mass spectrum of three neutrinos might have a normal hierarchy as that of three charged leptons or that of three up-type (or down-type) quarks. In this spirit, we propose a novel parametrization of the $3\times 3$ lepton flavor mixing matrix. Its mixing angles $\theta_l$ and $\theta_\nu$ can be related to the mass ratios $m_e/m_\mu$ and $m_1/m_2$ in a specific texture of lepton mass matrices with vanishing (1,1) elements: $\tan\theta_l = \sqrt{m_e/m_\mu}$ and $\tan\theta_\nu = \sqrt{m_1/m_2}$. The latter relation, together with solar and atmospheric neutrino oscillation data, predicts 0.0030 eV $\lesssim m_1 \lesssim$ 0.0073 eV, 0.009 eV $\lesssim m_2 \lesssim$ 0.012 eV and 0.042 eV $\lesssim m_3 \lesssim$ 0.058 eV. The smallest neutrino mixing angle is found to be $\theta_{13} \approx \theta_l/\sqrt{2} \approx 3^\circ$, which is experimentally accessible in the near future.Comment: RevTex 10 pages, 2 figure