This paper is concerned with the study of the vibrations of a coupled fluid-solid periodic structure. As the period goes to zero, an asymptotic analysis of the spectrum (i.e., the set of eigenfrequencies) is performed with the help of a new method, the so-called Bloch-wave homogenization method (which is a blend of two-scale convergence and Bloch-wave decomposition). The limit spectrum is made ...

We investigate Bloch oscillations of interacting cold atoms in a mean-field framework. In general, atom-atom interaction causes dephasing and destroys Bloch oscillations. Here we show that Bloch oscillations are persistent if the interaction is modulated harmonically with suitable frequency and phase. For other modulations, Bloch oscillations are rapidly damped. We explain this behavior in term...

We study the role of transverse spatial degrees of freedom in the dynamics of signal-idler phase locked states in type-II optical parametric oscillators. Phase locking stems from signal-idler polarization coupling which arises if the cavity birefringence and/or dichroism is not matched to the nonlinear crystal birefringence. Spontaneous Bloch domain wall formation is observed numerically and th...

Coherent interaction with off-resonance light can be used to shift the energy levels of atoms, molecules, and solids. The dominant effect is the optical Stark shift, but there is an additional contribution from the so-called Bloch-Siegert shift that has eluded direct and exclusive observation in solids. We observed an exceptionally large Bloch-Siegert shift in monolayer tungsten disulfide (WS2)...

Two parallel pathways produce cholesterol: the Bloch and Kandutsch-Russell pathways. Here we used stable isotope labeling and isotopomer analysis to trace sterol flux through the two pathways in mice. Surprisingly, no tissue used the canonical K-R pathway. Rather, a hybrid pathway was identified that we call the modified K-R (MK-R) pathway. Proportional flux through the Bloch pathway varied fro...

At the northern tip of Colombia, Jonathan Bloch hunts for fossils in the midst of spontaneous combustion fires, noxious gases laced with foul-smelling sulfur, rock-shattering explosions, and some of the largest machines in the world. “It is a weird place to work,” Bloch admits, an associate curator of vertebrate paleontology at the FloridaMuseum of Natural History, although he says he feels saf...

Let $E$ be an elliptic curve over algebraically closed field of characteristic 0. We prove that the pre-Bloch group function can generated by functions degree not higher than 3. apply this result to dilogarithm defined S. Bloch. He has shown any element gives a (so-called Bloch) relation between values so-called Elliptic dilogarithm. conclude Bloch reduced antisymmetry and relations for

Numerous Mircea Puta’s papers were dedicated to the study of Maxwell Bloch equations. The main purpose of this paper is to present several types of fractional Maxwell Bloch equations. M.S.C. 2000: 53D17, 58F06.