Langevin approach to generate synthetic turbulent flows

We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian turbulent flows by using a linear Langevin equation, where the noise term acts as a stochastic stirring force. The characteristic parameters of the velocity field are well introduced, in particular the kinematic viscosity and the spectrum of energy. As an application, the diffusion of a passive scalar is studied for two different energy spectra. Numerical results are compared favorably with analytical calculations.

Front dynamics in turbulent media

A study of a stable front propagating in a turbulent medium is presented. The front is generated through a reaction-diffusion equation, and the turbulent medium is statistically modeled using a Langevin equation. Numerical simulations indicate the presence of two different dynamical regimes. These regimes appear when the turbulent flow either wrinkles a still rather sharp propagating interfase or broadens it. Specific dependences of the propagating velocities on stirring intensities appropriate to each case are found and fitted when possible according to theoretically predicted laws. Different turbulent spectra are considered.

Reduction of the effect of aberrations in a joint transform correlator

We report the study of the influence of optical aberrations in a joint-transform correlator: The wave aberration of the optical system is computed from data obtained by ray tracing. Three situations are explored: We consider the aberration only in the first diffraction stage (generation of power spectrum), then only in the second (transformation of the power spectrum into correlation), and finally in both stages simultaneously. The results show that the quality of the correlation is determined mostly by the aberrations of the first diffraction stage and that we can optimize the setup by moving the cameras along the optical axis to a suitable position. The good agreement between the predicted data and the experimental results shows that the method explains well the behavior of optical diffraction systems when aberrations are taken into account.

Particle dispersion in synthetic turbulent flows

We study particle dispersion advected by a synthetic turbulent flow from a Lagrangian perspective and focus on the two-particle and cluster dispersion by the flow. It has been recently reported that Richardson¿s law for the two-particle dispersion can stem from different dispersion mechanisms, and can be dominated by either diffusive or ballistic events. The nature of the Richardson dispersion depends on the parameters of our flow and is discussed in terms of the values of a persistence parameter expressing the relative importance of the two above-mentioned mechanisms. We support this analysis by studying the distribution of interparticle distances, the relative velocity correlation functions, as well as the relative trajectories.

Reaction-diffusion fronts under stochastic advection

We study front propagation in stirred media using a simplified modelization of the turbulent flow. Computer simulations reveal the existence of the two limiting propagation modes observed in recent experiments with liquid phase isothermal reactions. These two modes respectively correspond to a wrinkled although sharp propagating interface and to a broadened one. Specific laws relative to the enhancement of the front velocity in each regime are confirmed by our simulations.

Langevin approach to generate synthetic turbulent flows

We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian turbulent flows by using a linear Langevin equation, where the noise term acts as a stochastic stirring force. The characteristic parameters of the velocity field are well introduced, in particular the kinematic viscosity and the spectrum of energy. As an application, the diffusion of a passive scalar is studied for two different energy spectra. Numerical results are compared favorably with analytical calculations.

Front dynamics in turbulent media

A study of a stable front propagating in a turbulent medium is presented. The front is generated through a reaction-diffusion equation, and the turbulent medium is statistically modeled using a Langevin equation. Numerical simulations indicate the presence of two different dynamical regimes. These regimes appear when the turbulent flow either wrinkles a still rather sharp propagating interfase or broadens it. Specific dependences of the propagating velocities on stirring intensities appropriate to each case are found and fitted when possible according to theoretically predicted laws. Different turbulent spectra are considered.

Childhood cancer in Switzerland: mortality from 1951 to 1984.

Cancer mortality among children in Switzerland was analysed using (1) age-specific and age-standardized (0-14) rates from 1951 to 1984 and (2) comparison of observed numbers of deaths over the period 1960-1984 with expected one obtained by application of age-specific rates for the period 1951-1959 to the population structure of subsequent 5-year calendar periods. Certified mortality fell about 60% for leukaemias, 21% for lymphomas, 66% for Wilms' tumours, 40% for bone sarcomas and 30% for other and unspecified sites. Thus, the overall decline in childhood cancer mortality in Switzerland was around 45%, slightly more marked in females (-48%) than in males (-42%), and more pronounced in younger children (over 50% before age 5). This corresponds to an absolute number of about 50 deaths from childhood cancer per year avoided in the early 1980s as compared with expected numbers computed on the basis of rates registered in the 1950s (30 deaths per year for leukaemias alone). The estimated total number of deaths avoided during the whole period 1960-1980 was 820 (430 leukaemias alone). Trends in childhood cancer mortality persisted steadily downwards in the early 1980s, suggesting that further progress is being achieved in the treatment of these neoplasms.

Stochastic differential equations with random coefficients

In this paper we establish the existence and uniqueness of a solution for different types of stochastic differential equation with random initial conditions and random coefficients. The stochastic integral is interpreted as a generalized Stratonovich integral, and the techniques used to derive these results are mainly based on the path properties of the Brownian motion, and the definition of the Stratonovich integral.

Accelerated Testing Track, HR-7, 1951

In May 1950 a proposal for a research project was submitted to the newly formed Iowa Highway Research Board for consideration and action. This project, designated RPSl by the Board, encompassed the study, development, preparation of preliminary plans and specifications for the construction of a wheel track to be used in the accelerated testing of highway pavements. The device envisioned in the proposal was a circular track about seventy-five feet in diameter equipped with a suitable automobile-tired device to test pavements about five feet in width laid into the track under regular construction practices by small scale construction equipment. The Board, upon review, revised and expanded the basic concepts of the project. The project as revised by the Board included a study of the feasibility of developing, constructing and operating an accelerated testing track in which pavements, bases and subgrades may be laid one full lane, or at least ten feet, in width by full size construction equipment in conformity with usual construction practices. The pavements so laid are to be subjected, during test, to conditions as nearly simulating actual traffic as possible.

Historia del Instituto de Estudios Norteamericanos de Barcelona (1951-62)

Esta ponencia deriva del estudio previo: "la Historia del Instituto Norteamericano de Barcelona, 1951-1962", y sostiene como hipótesis de partida que esta institución, cultural y académica, impulsada desde la sociedad cívica catalana, fue, en su etapa preformativa como en la inmediatamente previa a su consolidación, un fiel reflejo y termómetro del giro político de los Estados Unidos de América respecto del Estado Español en el anterior siglo XX. Su centro de interés radica a nuestro entender en el estudio de la metabolización de ese cambio en un segmento de la sociedad catalana y en la mutua instrumentalización, que no por desigual, ambas partes pusieron en práctica, eso sí, con finalidades ya distintas, coincidentes u opuestas.

Trends in cancer mortality in Switzerland, 1951-1984.

Trends in overall age-standardized, truncated (35-64 years) and age-specific (40 to 49) cancer death certification rates in Switzerland from 1951 to 1984 were analysed. There was a substantial rise in lung cancer mortality in males, with an over 100% increase in overall rates. Thus, in the early 1980's, lung cancer alone accounted for 26% of all cancer deaths in Swiss males. However, male lung cancer rates tended to level off in subsequent cohorts starting from younger middle age in the late 1960's. In females, lung cancer mortality was approximately ten times lower than in males, but rates had been consistently rising since the late 1960's in all age groups. Declines were observed for several neoplasms of the digestive tract: besides stomach (overall decline 68% in males, 77% in females), trends were markedly downwards also for oesophageal cancer in males (-57%), and there was some moderate fall for intestinal sites in both sexes and gallbladder in females. Several trends for other common neoplasms were similar to those observed in other developed countries, such as the declines for (cervix) uteri, the general stability for breast cancer, or the increases in pancreatic cancer and (melanoma) of the skin. A peculiar feature of Swiss data, besides the marked decline in oesophageal cancer in males, was the consistent downward trend in thyroid cancer for both sexes. Thus, overall age-standardized total cancer mortality over the last three decades was moderately upwards in Swiss males, but consistently downwards in females. Male trends were more reassuring in middle age, chiefly in consequence of the flattening in lung cancer rises. Possible interpretations of these trends in terms of aetiological hypotheses (i.e., changes in alcohol drinking and improvements in diet for oesophageal cancer, or reduced prevalence of iodine deficiency for thyroid neoplasms) are discussed.