Diffusion-limited deposition with dipolar interactions: fractal dimension and multifractal structure

Computer simulations are used to generate two-dimensional diffusion-limited deposits of dipoles. The structure of these deposits is analyzed by measuring some global quantities: the density of the deposit and the lateral correlation function at a given height, the mean height of the upper surface for a given number of deposited particles and the interfacial width at a given height. Evidences are given that the fractal dimension of the deposits remains constant as the deposition proceeds, independently of the dipolar strength. These same deposits are used to obtain the growth probability measure through Monte Carlo techniques. It is found that the distribution of growth probabilities obeys multifractal scaling, i.e. it can be analyzed in terms of its $f(\alpha)$ multifractal spectrum. For low dipolar strengths, the $f(\alpha)$ spectrum is similar to that of diffusion-limited aggregation. Our results suggest that for increasing dipolar strength both the minimal local growth exponent $\alpha_{min}$ and the information dimension $D_1$ decrease, while the fractal dimension remains the same.Comment: 10 pages, 7 figure

Diffusion-limited deposition of dipolar particles

Deposits of dipolar particles are investigated by means of extensive Monte Carlo simulations. We found that the effect of the interactions is described by an initial, non-universal, scaling regime characterized by orientationally ordered deposits. In the dipolar regime, the order and geometry of the clusters depend on the strength of the interactions and the magnetic properties are tunable by controlling the growth conditions. At later stages, the growth is dominated by thermal effects and the diffusion-limited universal regime obtains, at finite temperatures. At low temperatures the crossover size increases exponentially as T decreases and at T=0 only the dipolar regime is observed.Comment: 5 pages, 4 figure

Energy loss mechanism for suspended micro- and nanoresonators due to the Casimir force

A so far not considered energy loss mechanism in suspended micro- and nanoresonators due to noncontact acoustical energy loss is investigated theoretically. The mechanism consists on the conversion of the mechanical energy from the vibratory motion of the resonator into acoustic waves on large nearby structures, such as the substrate, due to the coupling between the resonator and those structures resulting from the Casimir force acting over the separation gaps. Analytical expressions for the resulting quality factor Q for cantilever and bridge micro- and nanoresonators in close proximity to an underlying substrate are derived and the relevance of the mechanism is investigated, demonstrating its importance when nanometric gaps are involved

Nonequilibrium wetting transitions with short range forces

We analyze within mean-field theory as well as numerically a KPZ equation that describes nonequilibrium wetting. Both complete and critical wettitng transitions were found and characterized in detail. For one-dimensional substrates the critical wetting temperature is depressed by fluctuations. In addition, we have investigated a region in the space of parameters (temperature and chemical potential) where the wet and nonwet phases coexist. Finite-size scaling analysis of the interfacial detaching times indicates that the finite coexistence region survives in the thermodynamic limit. Within this region we have observed (stable or very long-lived) structures related to spatio-temporal intermittency in other systems. In the interfacial representation these structures exhibit perfect triangular (pyramidal) patterns in one (two dimensions), that are characterized by their slope and size distribution.Comment: 11 pages, 5 figures. To appear in Physical Review

Quantum capacitor with discrete charge-anticharge: spectrum and forces

The quantum capacitor with discrete charge is modeled by a Hamiltonian containing an inductive intrinsic term (tunnel effect between plates). The spectrum is obtained using a double Hilbert space. Fluctuations in the charge-anticharge pairs (zero total charge) give rise to an elementary attraction which is compared to the Casimir force. In this case, the field-fluctuations force could be also interpreted as charge-fluctuations force

Virtualization of niebla formation sites (upper miocene) in the Huelva province: valuating the paleontological heritage in differentiate educative settings II

El patrimonio paleontológico del Neógeno de la provincia de Huelva es uno de los más importantes de España y referente europeo de moluscos de este período. Sin embargo, no existe un inventario de catalogación básica de los principales yacimientos ni de los principales grupos fósiles presentes, así como de su importancia como patrimonio natural. El presente trabajo pretende rellenar este notable vacío con una proyección tanto hacia materias preuniversitarias como universitarias, así como hacia posibles instituciones y corporaciones públicas susceptibles de utilizarlo en sus planes de ordenación. Por otro lado, se pretende que actúe como mecanismo de interconexión entre titulaciones con bajo número de alumnos de nuevo ingreso y los centros de Bachillerato, de forma que incentive una posible elección de estos Grados por los alumnos de las opciones científico-tecnológicas. También puede ser interesante para captar egresados hacia Másteres Oficiales en Patrimonio Histórico y Natural. En este sentido, se ha realizado un DVD documental sobre el patrimonio paleontológico del Mioceno superior de la provincia de Huelva. Este documental incluye una visión de conjunto de los principales yacimientos de fósiles marinos de la Fm. Niebla, desarrollada en un marco transgresivo bajo unas condiciones más húmedas y cálidas que las actuales. Esta aportación es aplicable al trabajo de campo de varios Grados y Posgrados universitarios y de fácil uso como material didáctico en diversas asignaturas de E.S.O. y Bachillerato. Este trabajo se ha realizado en el marco del proyecto de innovación docente (PID nº 11003) de la Universidad de Huelva.The paleontological heritage from the Neogene in the province of Huelva is one of the most important in Spain and it is considered a European reference site for the mollusk fossil record from this period. However, there are not basic inventories neither for the main sites nor the major fossil groups. Furthermore, no inventories exist about their natural heritage importance. This work aims to fill this significant gap for both pre-university and university levels, as well as to public institutions and corporations that may use it in their management plans. In addition, it is intended to act as an linking mechanism between university degrees with low number of first-year students and high school centres, in order to encourage a possible choice of these Bachelor’s degrees by scientific and technological students. It may also be interesting to catch the attention of graduates for Official Masters in Historical and Natural Heritage. In this sense, a DVD-documentary has been made about the paleontological heritage from the Upper Miocene in the province of Huelva. This documental includes an overview of the main marine fossil sites from the Niebla Formation developed in a transgressive setting under more humid and warmer conditions than today. This contribution is useful for the fieldwork at Bachelor and Master Degree level and it is easy to use as teaching materials in different ESO (Obligatory Secondary Teaching) and High School subjects. This work has been funded for an Innovation in Teaching Project (PID No. 10050) of the Huelva University

Renormalisation group determination of the order of the DNA denaturation transition

We report on the nature of the thermal denaturation transition of homogeneous DNA as determined from a renormalisation group analysis of the Peyrard-Bishop-Dauxois model. Our approach is based on an analogy with the phenomenon of critical wetting that goes further than previous qualitative comparisons, and shows that the transition is continuous for the average base-pair separation. However, since the range of universal critical behaviour appears to be very narrow, numerically observed denaturation transitions may look first-order, as it has been reported in the literature.Comment: 6 pages; no figures; to appear in Europhysics Letter

Orientational order in Deposits of Magnetic Particles

We present preliminary results for the orientational order in deposits of dipolar particles, on one dimensional substrates. The deposits are generated using a model where the incoming dipolar particle interacts with the other particles in the deposit via a dipole-dipole potential. The interdipolar vectors are restricted to lie on a square lattice although the dipole moments are free to rotate in three dimensions. The path of the incoming particle is generated through a Monte Carlo scheme controlled by an effective temperature T, the case of pure diffusion-limited deposition corresponding to T=infinity$. We calculate the ferromagnetic and nematic order parameters and the dipolar orientational probability density of the deposits, at various stages of growth and two effective temperatures. The dipolar angular correlations along the rows and columns of the lattice are also investigated. We find that the orientational order of the deposits depends strongly on the lattice structure, the stage of growth and the effective temperature.Comment: 18 pages, 6 figure