Higgs Searches at LEP

The four LEP experiments ALEPH, DELPHI, L3 and OPAL have performed decay-mode independent searches for scalar bosons, flavour-independent Higgs boson searches, searches for Higgs bosons in the Standard Model and several Two-Higgs-Doublet models and searches for doubly charged Higgs bosons at centre-of-mass energies up to 209 GeV. The results obtained and mostly combined by the LEP Higgs working group are discussed.Comment: submitted to the proceedings of the 37th Recontres de Moriond on Electroweak Interactions and Unified Theories, March 2002; 8 pages, 7 figures; minor wording changes, 2 figures replaced by b/w version, 1 reference adde

Searches for New Particles

Searches for New Particles including future sensitivity prospects are reviewed. The main focus is placed on results obtained at LEP, HERA and the Tevatron on generic searches such as searches for excited fermions, searches for leptoquarks and high-$p_T$ leptons. Also interpretations in the context of anomalous single top production via flavour-changing neutral current, large extra space dimensions, supersymmetry, and various searches for Higgs bosons are discussed.Comment: Plenary talk presented at EPS2003 Conference, Aachen, Germany, July 2003 corrected minor typo

Review on Multi-Scale Models of Solid-Electrolyte Interphase Formation

Electrolyte reduction products form the solid-electrolyte interphase (SEI) on negative electrodes of lithium-ion batteries. Even though this process practically stabilizes the electrode-electrolyte interface, it results in continued capacity-fade limiting lifetime and safety of lithium-ion batteries. Recent atomistic and continuum theories give new insights into the growth of structures and the transport of ions in the SEI. The diffusion of neutral radicals has emerged as a prominent candidate for the long-term growth mechanism, because it predicts the observed potential dependence of SEI growth.Comment: 8 pages, 4 figure

Counterexamples to regularities for the derivative processes associated to stochastic evolution equations

In the recent years there has been an increased interest in studying regularity properties of the derivatives of stochastic evolution equations (SEEs) with respect to their initial values. In particular, in the scientific literature it has been shown for every natural number $n\in\mathbb{N}$ that if the nonlinear drift coefficient and the nonlinear diffusion coefficient of the considered SEE are $n$-times continuously Fr\'{e}chet differentiable, then the solution of the considered SEE is also $n$-times continuously Fr\'{e}chet differentiable with respect to its initial value and the corresponding derivative processes satisfy a suitable regularity property in the sense that the $n$-th derivative process can be extended continuously to $n$-linear operators on negative Sobolev-type spaces with regularity parameters $\delta_1,\delta_2,\ldots,\delta_n\in[0,1/2)$ provided that the condition $\sum^n_{i=1} \delta_i < 1/2$ is satisfied. The main contribution of this paper is to reveal that this condition can essentially not be relaxed