Exact lower bounds to the ground-state energy of spin systems: The two-dimensional S=1/2 antiferromagnetic Heisenberg model

We present a very simple but fairly unknown method to obtain exact lower bounds to the ground-state energy of any Hamiltonian that can be partitioned into a sum of sub-Hamiltonians. The technique is applied, in particular, to the two-dimensional spin-1/2 antiferromagnetic Heisenberg model. Reasonably good results are easily obtained and the extension of the method to other systems is straightforward.

Pair production by and electric field in (1+1)-dimensional de Sitter space

We use the method of Bogolubov transformations to compute the rate of pair production by an electric field in (1+1)-dimensional de Sitter space. The results are in agreement with those obtained previously using the instanton methods. This is true even when the size of the instanton is comparable to the size of the de Sitter horizon.

Internal and external fluctuations around nonequilibrium steady states in one-dimensional heat-conduction problems

Thermal fluctuations around inhomogeneous nonequilibrium steady states of one-dimensional rigid heat conductors are analyzed in the framework of generalized fluctuating hydrodynamics. The effect of an external source of noise is also considered. External fluctuations come from temperature and position fluctuations of the source. Contributions of each kind of noise to the temperature correlation function are computed and compared through the study of its asymptotic behavior.

Magnetic relaxation of a one-dimensional model for small particle systems with dipolar interactions: Monte Carlo simulation

Atribution as a function of the time are analyzed and this study leads to a deeper knowledge of the microscopic processes involved in the magnetic relaxation

Three-dimensional aspects of fluid flows in channels. II. Effects of meniscus and thin film regimes on viscous fingers

We perform a three-dimensional study of steady state viscous fingers that develop in linear channels. By means of a three-dimensional lattice-Boltzmann scheme that mimics the full macroscopic equations of motion of the fluid momentum and order parameter, we study the effect of the thickness of the channel in two cases. First, for total displacement of the fluids in the channel thickness direction, we find that the steady state finger is effectively two-dimensional and that previous two-dimensional results can be recovered by taking into account the effect of a curved meniscus across the channel thickness as a contribution to surface stresses. Second, when a thin film develops in the channel thickness direction, the finger narrows with increasing channel aspect ratio in agreement with experimental results. The effect of the thin film renders the problem three-dimensional and results deviate from the two-dimensional prediction.

Three-dimensional aspects of fluid flows in channels. I. Meniscus and thin film regimes

We study the forced displacement of a fluid-fluid interface in a three-dimensional channel formed by two parallel solid plates. Using a lattice-Boltzmann method, we study situations in which a slip velocity arises from diffusion effects near the contact line. The difference between the slip and channel velocities determines whether the interface advances as a meniscus or a thin film of fluid is left adhered to the plates. We find that this effect is controlled by the capillary and Péclet numbers. We estimate the crossover from a meniscus to a thin film and find good agreement with numerical results. The penetration regime is examined in the steady state. We find that the occupation fraction of the advancing finger relative to the channel thickness is controlled by the capillary number and the viscosity contrast between the fluids. For high viscosity contrast, lattice-Boltzmann results agree with previous results. For zero viscosity contrast, we observe remarkably narrow fingers. The shape of the finger is found to be universal.

Dynamics of driven three-dimensional thin films: from hdrophilic to superhydrophobic substrates

We study the forced displacement of a thin film of fluid in contact with vertical and inclined substrates of different wetting properties, that range from hydrophilic to hydrophobic, using the lattice-Boltzmann method. We study the stability and pattern formation of the contact line in the hydrophilic and superhydrophobic regimes, which correspond to wedge-shaped and nose-shaped fronts, respectively. We find that contact lines are considerably more stable for hydrophilic substrates and small inclination angles. The qualitative behavior of the front in the linear regime remains independent of the wetting properties of the substrate as a single dispersion relation describes the stability of both wedges and noses. Nonlinear patterns show a clear dependence on wetting properties and substrate inclination angle. The effect is quantified in terms of the pattern growth rate, which vanishes for the sawtooth pattern and is finite for the finger pattern. Sawtooth shaped patterns are observed for hydrophilic substrates and low inclination angles, while finger-shaped patterns arise for hydrophobic substrates and large inclination angles. Finger dynamics show a transient in which neighboring fingers interact, followed by a steady state where each finger grows independently.

Structural disorder in two-dimensional random magnets: Very thin films of rare earths and transition metals

The low-temperature isothermal magnetization curves, M(H), of SmCo4 and Fe3Tb thin films are studied according to the two-dimensional correlated spin-glass model of Chudnovsky. We have calculated the magnetization law in approach to saturation and shown that the M(H) data fit well the theory at high and low fields. In our fit procedure we have used three different correlation functions. The Gaussian decay correlation function fits well the experimental data for both samples.

Contenidos de isomeros trans de los acidos grasos en productos carnicos (I). Embutidos

En este trabajo se determinan los contenidos de isómeros trans de la fracción de los ácidos grasos, en muestras de embutidos diversos (total 48 muestras), mediante extracción previa de la fracción grasa y posterior análisis por cromatografía de gases capilar, con columna CP Sil 88. Los resultados muestran una gran variabilidad, entre 0,14 y 1,63% de C18:1 t y entre 0,37 y 2,14% de formas trans totales.

Contenidos de isomeros trans de los acidos grasos en productos carnicos (II). Tejidos adiposo y grasa intramuscular del cerdo

Se presentan los resultados obtenidos en la determinación de ácidos grasos trans en una serie de muestras de tejidos subcutáneo y muscular, procedentes de canales de cerdo, mediante cromatografía en fase gaseosa. Ambos tipos de grasas presentan valores similares y relativamente bajos, con un valor medio del 0.6% de 018:1 t. Se detecta una marcada influencia de la alimentación, puesta de manifiesto por las diferencias significativas obtenidas para los contenidos de C18:1 trans, en función del origen de las muestras. Igualmente, se recogen las correlaciones obtenidas entre los contenidos de C18:1 t. y los de ácidos grasos saturados, monoinsaturados y poliinsaturados, así como con el contenido graso intramuscular.

Contenidos de isomeros trans de los acidos grasos en productos carnicos. (III) Tejido adiposo y grasa intramuscular de vacuno

Se presentan los resultados obtenidos para la determinación de ácidos grasos en una serie de muestras de tejidos subcutáneo y muscular, procedentes de canales de vacuno, por aplicación de la cromatografía en fase gaseosa, para los que se obtuvieron unos valores medios de 58.7% de ácidos saturados, 39.1 % de monoinsaturados y 2.7% de polinsaturados, en el tejido adiposo, y de 44.7% de saturados, 46.1% de monoinsaturados y 9.4% de polinsaturados, en el tejido muscular. Los contenidos de ácidos grasos trans muestran diferencias significativas entre ambos tejidos (medias del 7% de ácidos trans totales en grasa intramuscular y 10.5% en grasa de depósito). El C18: 1t presenta una distribución paralela a la del total de ácidos trans, mientras que para el C16: 1 trans se observa un comportamiento claramente diferente, ya que no se presentan estas diferencias significativas entre ambos tejidos. En cuanto a los factores estudiados que pueden influir en el contenido de isómeros trans, cabe destacar que la raza fue aquél que ofrecía más diferencias, mientras que entre los diversos orígenes (explotaciones ganaderas) y entre categorías de canal se presentaron menos diferencias en relación a los contenidos de estos isómeros. También es importante destacar que las correlaciones que se han observado entre los contenidos de ácidos trans y los totales de ácidos saturados, mono y polinsaturados presentan un signo contrario, según el tipo de tejido. Así, un aumento del % de ácidos trans va aparejado con un aumento de saturados y una disminución de polinsaturados en el tejido muscular, mientras que va aparejado con una disminución de saturados y un aumento de mono y polinsaturados en el tejido adiposo.

"Bottleneck effect" in two-Dimensional microfluidics

An anomalously long transient is needed to achieve a steady pressurization of a fluid when forced to flow through micronarrowed channels under constant mechanical driving. This phenomenon, known as the "bottleneck effect" is here revisited from a different perspective, by using confined displacements of interfacial fluids. Compared to standard microfluidics, such effect admits in this case a neat quantitative characterization, which reveals intrinsic material characteristics of flowing monolayers and permits to envisage strategies for their controlled micromanipulation.

Quasi-two-dimensional electrodeposition under forced fluid flow

Experimental quasi-two-dimensional Zn electrodeposits are grown under forced convection conditions. Large-scale effects, with preferential growth towards the impinging flow, together with small-scale roughness suppression effects are evidenced and separately analyzed by using two different radial cell configurations. Interpretations are given in terms of primary concepts concerning current and concentration distributions.