Oscillatory wave fronts in chains of coupled nonlinear oscillators

Wave front pinning and propagation in damped chains of coupled oscillators are studied. There are two important thresholds for an applied constant stress $F$: for $|F|<F_{cd}$ (dynamic Peierls stress), wave fronts fail to propagate, for $F_{cd} < |F| < F_{cs}$ stable static and moving wave fronts coexist, and for $|F| > F_{cs}$ (static Peierls stress) there are only stable moving wave fronts. For piecewise linear models, extending an exact method of Atkinson and Cabrera's to chains with damped dynamics corroborates this description. For smooth nonlinearities, an approximate analytical description is found by means of the active point theory. Generically for small or zero damping, stable wave front profiles are non-monotone and become wavy (oscillatory) in one of their tails.Comment: 18 pages, 21 figures, 2 column revtex. To appear in Phys. Rev.

Differential growth of wrinkled biofilms

Biofilms are antibiotic-resistant bacterial aggregates that grow on moist surfaces and can trigger hospital-acquired infections. They provide a classical example in biology where the dynamics of cellular communities may be observed and studied. Gene expression regulates cell division and differentiation, which affect the biofilm architecture. Mechanical and chemical processes shape the resulting structure. We gain insight into the interplay between cellular and mechanical processes during biofilm development on air-agar interfaces by means of a hybrid model. Cellular behavior is governed by stochastic rules informed by a cascade of concentration fields for nutrients, waste and autoinducers. Cellular differentiation and death alter the structure and the mechanical properties of the biofilm, which is deformed according to Foppl-Von Karman equations informed by cellular processes and the interaction with the substratum. Stiffness gradients due to growth and swelling produce wrinkle branching. We are able to reproduce wrinkled structures often formed by biofilms on air-agar interfaces, as well as spatial distributions of differentiated cells commonly observed with B. subtilis.Comment: 19 pages, 13 figure

Ripples in a string coupled to Glauber spins

Each oscillator in a linear chain (a string) interacts with a local Ising spin in contact with a thermal bath. These spins evolve according to Glauber dynamics. Below a critical temperature, a rippled state in the string is accompanied by a nonzero spin polarization. The system is shown to form ripples in the string which, for slow spin relaxation, vibrates rapidly about quasi-stationary states described as snapshots of a coarse-grained stroboscopic map. For moderate observation times, ripples are observed irrespective of the final thermodynamically stable state (rippled or not).Comment: 5 pages, 2 figure

Dynamics of elastic biofilm threads

Fac. de Ciencias MatemáticasFALSEunpu

Geometry Induced Biofilm Formation

Bacteria in aqueous environments usually gather to form aggregates called biofilms. In biofilms, cells display many behavioral differences from planktonic cells, such as a 1,000-fold increase in tolerance to antibiotics. Hospital-acquired infections are often caused by biofilm spread through medical systems. Design improvements hindering biofilm formation rely on identifying factors that favor their appearance. Geometry variations in medical flow circuits may trigger biofilm nucleation through vortical motion driving bacteria to walls. Detailed flow studies in mili and microfluidic devices support that observation. Once biofilm seeds are created, they proliferate forming filaments whose structure is again controlled by the geometry

Modelling the Molecular Gas in NGC 6240

We present the first observations of H$^{13}$CN$(1-0)$, H$^{13}$CO$^+(1-0)$ and SiO$(2-1)$ in NGC\,6240, obtained with the IRAM PdBI. Combining a Markov Chain Monte Carlo (MCMC) code with Large Velocity Gradient (LVG) modelling, and with additional data from the literature, we simultaneously fit three gas phases and six molecular species to constrain the physical condition of the molecular gas, including mass$-$luminosity conversion factors. We find $\sim10^{10}M_\odot$ of dense molecular gas in cold, dense clouds ($T_{\rm k}\sim10$\,K, $n_{{\rm H}_2}\sim10^6$\,cm$^{-3}$) with a volume filling factor $<0.002$, embedded in a shock heated molecular medium ($T_{\rm k}\sim2000$\,K, $n_{{\rm H}_2}\sim10^{3.6}$\,cm$^{-3}$), both surrounded by an extended diffuse phase ($T_{\rm k}\sim200$\,K, $n_{{\rm H}_2}\sim10^{2.5}$\,cm$^{-3}$). We derive a global $\alpha_{\rm CO}=1.5^{7.1}_{1.1}$ with gas masses $\log_{10}\left(M / [M_\odot]\right)=10.1_{10.0}^{10.8}$, dominated by the dense gas. We also find $\alpha_{\rm HCN} = 32^{89}_{13}$, which traces the cold, dense gas. The [$^{12}$C]/[$^{13}$C] ratio is only slightly elevated ($98^{230}_{65}$), contrary to the very high [CO]/[$^{13}$CO] ratio (300-500) reported in the literature. However, we find very high [HCN]/[H$^{13}$CN] and [HCO$^+$]/[H$^{13}$CO$^+$] abundance ratios $(300^{500}_{200})$ which we attribute to isotope fractionation in the cold, dense clouds.Comment: 27 pages, 17 figures, 9 tables. Accepted in Ap

Contenido de beta-caroteno, hierro y zinc, efecto de almacenamiento y tipo de cocción en genotipos de camote (Ipomoea batatas L)

El camote (Ipomoea batatas L) es el principal componente en la dieta de millones de personas que viven en países tropicales, y un mejoramiento en el contenido de â-caroteno podría incrementar el suministro de vitamina A para satisfacer la mayor parte de las necesidades diarias de la gente. En el presente estudio, el contenido de â-caroteno (BC), hierro (Fe) y zinc (Zn) fueron determinados en 25 genotipos de camote provenientes de las localidades de La Molina y San Ramón (Perú). Así mismo, los cambios en el contenido de BC en siete genotipos de camote fueron investigados usando diferentes métodos de cocción y tiempos de almacenamiento. El contenido de BC fue medido vía absorbancia a 450 nm e identificado a través del HPLC y el contenido de Fe y Zn fueron determinados a través de técnicas de ICP-OES. Los resultados muestran variación significativa entre genotipo, ambiente y en la interacción genotipo-ambiente. La concentración de BC en las raíces de camote recién cosechado varió entre 7.62 y 18.93 mg/100 g en peso fresco (PF). El contenido de hierro presentó un rango de 0.40 – 0.96 mg/100 g PF y el contenido de zinc presentó un rango de 0.25 – 0.51 mg/100 mg PF. Los genotipos 440442 y 440518 presentaron los niveles más altos de BC en los dos ambientes. Diferencias en el contenido de BC fueron encontrados entre los métodos de cocción y los tiempos de almacenamiento. La concentración de BC de las raíces cocidas por ebullición (15.15 mg/100 g PF) fue mayor que las raíces cocidas por horneado (14.29 mg/100 g PF); sin embargo, no hubo diferencias entre los genotipos 440442 y 420081 por efecto del método de cocción. Asimismo, el contenido de BC se incrementó durante el tiempo de almacenamiento, donde el genotipo 440442 presentó los mayores niveles de BC durante el tiempo de almacenamiento, mientras que los genotipos 440413 y 440513 no presentaron cambios significativos

Chemically Distinct Nuclei and Outflowing Shocked Molecular Gas in Arp 220

We present the results of interferometric spectral line observations of Arp 220 at 3.5mm and 1.2mm from the Plateau de Bure Interferometer (PdBI), imaging the two nuclear disks in H$^{13}$CN$(1 - 0)$ and $(3 - 2)$, H$^{13}$CO$^+(1 - 0)$ and $(3 - 2)$, and HN$^{13}$C$(3 - 2)$ as well as SiO$(2 - 1)$ and $(6 - 5)$, HC$^{15}$N$(3 - 2)$, and SO$(6_6 - 5_5)$. The gas traced by SiO$(6 - 5)$ has a complex and extended kinematic signature including a prominent P Cygni profile, almost identical to previous observations of HCO$^+(3 - 2)$. Spatial offsets $0.1''$ north and south of the continuum centre in the emission and absorption of the SiO$(6 - 5)$ P Cygni profile in the western nucleus (WN) imply a bipolar outflow, delineating the northern and southern edges of its disk and suggesting a disk radius of $\sim40$ pc, consistent with that found by ALMA observations of Arp 220. We address the blending of SiO$(6 - 5)$ and H$^{13}$CO$^+(3 - 2)$ by considering two limiting cases with regards to the H$^{13}$CO$^+$ emission throughout our analysis. Large velocity gradient (LVG) modelling is used to constrain the physical conditions of the gas and to infer abundance ratios in the two nuclei. Our most conservative lower limit on the [H$^{13}$CN]/[H$^{13}$CO$^+$] abundance ratio is 11 in the WN, cf. 0.10 in the eastern nucleus (EN). Comparing these ratios to the literature we argue on chemical grounds for an energetically significant AGN in the WN driving either X-ray or shock chemistry, and a dominant starburst in the EN.Comment: 28 pages, 17 figures, accepted to Ap

Axisymmetric pulse recycling and motion in bulk semiconductors

The Kroemer model for the Gunn effect in a circular geometry (Corbino disks) has been numerically solved. The results have been interpreted by means of asymptotic calculations. Above a certain onset dc voltage bias, axisymmetric pulses of the electric field are periodically shed by an inner circular cathode. These pulses decay as they move towards the outer anode, which they may not reach. As a pulse advances, the external current increases continuously until a new pulse is generated. Then the current abruptly decreases, in agreement with existing experimental results. Depending on the bias, more complex patterns with multiple pulse shedding are possible.Comment: 8 pages, 15 figure