Three-Dimensional patchy lattice model for empty fluids

The phase diagram of a simple model with two patches of type A and ten patches of type B (2A10B) on the face centred cubic lattice has been calculated by simulations and theory. Assuming that there is no interaction between the B patches the behavior of the system can be described in terms of the ratio of the AB and AA interactions, r. Our results show that, similarly to what happens for related off-lattice and two-dimensional lattice models, the liquid-vapor phase equilibria exhibit reentrant behavior for some values of the interaction parameters. However, for the model studied here the liquid-vapor phase equilibria occur for values of r lower than 1/3, a threshold value which was previously thought to be universal for 2AnB models. In addition, the theory predicts that below r = 1/3 (and above a new condensation threshold which is < 1/3) the reentrant liquid-vapor equilibria are so extreme that it exhibits a closed loop with a lower critical point, a very unusual behavior in single-component systems. An order-disorder transition is also observed at higher densities than the liquid-vapor equilibria, which shows that the liquid-vapor reentrancy occurs in an equilibrium region of the phase diagram. These findings may have implications in the understanding of the condensation of dipolar hard spheres given the analogy between that system and the 2AnB models considered here.

Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

We study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.

A coinfection model for HIV and HCV

We study a mathematical model for the human immunodeficiency virus (HIV) and hepatites C virus (HCV) coinfection. The model predicts four distinct equilibria: the disease free, the HIV endemic, the HCV endemic, and the full endemic equilibria. The local and global stability of the disease free equilibrium was calculated for the full model and the HIV and HCV submodels. We present numerical simulations of the full model where the distinct equilibria can be observed. We show simulations of the qualitative changes of the dynamical behavior of the full model for variation of relevant parameters. From the results of the model, we infer possible measures that could be implemented in order to reduce the number of infected individuals.

Liquid-vapor interfaces of patchy colloids

We investigate the liquid-vapor interface of a model of patchy colloids. This model consists of hard spheres decorated with short-ranged attractive sites ("patches") of different types on their surfaces. We focus on a one-component fluid with two patches of type A and nine patches of type B (2A9B colloids), which has been found to exhibit reentrant liquid-vapor coexistence curves and very low-density liquid phases. We have used the density-functional theory form of Wertheim's first-order perturbation theory of association, as implemented by Yu and Wu [J. Chem. Phys. 116, 7094 (2002)], to calculate the surface tension, and the density and degree of association profiles, at the liquid-vapor interface of our model. In reentrant systems, where AB bonds dominate, an unusual thickening of the interface is observed at low temperatures. Furthermore, the surface tension versus temperature curve reaches a maximum, in agreement with Bernardino and Telo da Gama's mesoscopic Landau-Safran theory [Phys. Rev. Lett. 109, 116103 (2012)]. If BB attractions are also present, competition between AB and BB bonds gradually restores the monotonic temperature dependence of the surface tension. Lastly, the interface is "hairy," i.e., it contains a region where the average chain length is close to that in the bulk liquid, but where the density is that of the vapor. Sufficiently strong BB attractions remove these features, and the system reverts to the behavior seen in atomic fluids.

Viscosity measurements of compressed liquid dipropyl and dibutyl adipates

The paper reports viscosity measurements of compressed liquid dipropyl (DPA) and dibutyl (DBA) adipates obtained with two vibrating wire sensors developed in our group. The vibrating wire instruments were operated in the forced oscillation, or steady-state mode. The viscosity measurements of DPA were carried out in a range of pressures up to 18. MPa and temperatures from (303 to 333). K, and DBA up to 65. MPa and temperature from (303 to 373). K, covering a total range of viscosities from (1.3 to 8.3). mPa. s. The required density data of the liquid samples were obtained in our laboratory using an Anton Paar vibrating tube densimeter and were reported in a previous paper. The viscosity results were correlated with density, using a modified hard-spheres scheme. The root mean square deviation of the data from the correlation is less than (0.21 and 0.32)% and the maximum absolute relative deviations are within (0.43 and 0.81)%, for DPA and DBA respectively. No data for the viscosity of both adipates could be found in the literature. Independent viscosity measurements were also performed, at atmospheric pressure, using an Ubbelohde capillary in order to compare with the vibrating wire results. The expanded uncertainty of these results is estimated as ±1.5% at a 95% confidence level. The two data sets agree within the uncertainty of both methods. © 2015 Published by Elsevier B.V.

Paleontologia e evolução a problemática da espécie em Paleozoologia

The concept of species in Paleontology is of paramount importance since the correct taxonomic determinations are essential to establish the age of the beds where fossils are collected. Particularly since 1940, the concept of species from a biological context, corresponding to the variability of a set of interpopulation compatibility, led us to a new approach, in which a typological conception has been replaced by a populationist one. If the notion of species is not necessarily identical for all living organisms, the greater the difficulties of interpretation in the private world of cephalopod fossils. The latter, lend themselves well to population systematics, and where this concept of species rests primarily on the morphological similarities. Thus, the introduction of general ideas analyse "typological species", "biological species", the problem of the definition of a "population" in Paleontology, and also the importance of the biometric analysis of fossil associations. The classic examples of polymorphism amd polytypism, in existing or extinct organisms, show that the concept of fossil species, observed in a well-defined period of its lifetime, is no different from that of biological species. The study of the evolution of fossil organisms allow us to understand the modelities of evolution and the mechanisms of speciation here synthesized and fully documented, namely the anagenesis or sequential evolution and the cladogenesis or divergent evoltuion; these mechanisms are the basis of the synthetic or gradualist theory of evolution developed by Dobzhansky, Mayr, Huxley, Rensch and impson. This summary ends with a reference to the theory of punctuated (or intermittent) equilibria proposed by Gould and Eldredge, who presented a more objective interpretation of morphological gaps, considered as elements of evolution itself. The interdisciplinary collaboration between zoologists, geneticists and paleontologists, is compulsory in this domain. Paleozoology has a key role since it conveys the dynamism and depth to the dimension of space-time duality.

Preparação de biofilmes a partir de resíduos da indústria de curtumes

A indústria dos curtumes é uma das indústrias mais antigas e tradicionais de Portugal e é também uma das mais poluentes. Esta indústria produz muitos resíduos sólidos, entre os quais, está o pelo de bovino. A valorização deste resíduo permite reduzir o impacto ambiental e aumentar a eco-eficiência da indústria dos curtumes. O pelo de bovino, rico em queratina, é um bom candidato para a produção de biofilmes. O objetivo deste trabalho foi a valorização de um resíduo de indústria de curtume (pelo de bovino) através da produção de filmes à base de queratina por termocompressão. Foi estudada a melhor formulação e as condições operatórias mais favoráveis com a finalidade de melhorar as propriedades mecânicas dos filmes. O trabalho realizado durante este projeto dividiu-se em 5 partes: preparação do material, caracterização do material, seleção do pré-tratamento, produção de filmes e caracterização dos filmes. Foram produzidos filmes para a seleção do pré-tratamento e para a respetiva caracterização. Os pré-tratamentos testados foram: tratamento com detergente, tratamento com detergente e sulfureto de sódio e, tratamento com detergente e éter de petróleo. O pré-tratamento selecionado foi o tratamento com detergente. Para a produção de filmes para a posterior caracterização, foram escolhidos 4 conjuntos de condições operatórias diferentes: 160 oC – 147 kN – 8 min – 30% glicerol; 160 oC – 147 kN – 12 min – 30% glicerol; 160 oC – 147 kN – 8 min – 40% glicerol; 160 oC – 147 kN – 12 min – 40% glicerol; identificados como Conjuntos A, B, C e D, respetivamente. Na caracterização dos filmes foram analisados vários parâmetros, nomeadamente a espessura, a permeabilidade ao vapor de água ao vapor de água, as isotérmicas de sorção, a cor, a solubilidade e as propriedades mecânicas. Também foram feitas as análises de calorimetria diferencial de varrimento (DSC) e microscopia eletrónica de varrimento (SEM). Concluiu-se que os filmes do conjunto A (160 oC – 147 kN – 8 min – 30% glicerol) tiveram um melhor desempenho apresentando espessuras médias de 0,25 0,02 mm, permeabilidade ao vapor de água ao vapor de água igual a 1,20 x 10-8 6,79 x 10-10 g/(m.s.Pa), solubilidade igual a 27,9 0,4 %, tensão de rutura média igual a 9,23 1,19 N/mm2, deformação na rutura média igual a 1,9 0,2 % e módulo de elasticidade médio igual a 554 26 N/mm2. Verificou-se um bom ajuste do modelo de GAB aos resultados experimentais. A análise DSC indicou uma temperatura de fusão aos 170 ºC para a mistura de pelo e glicerol que não se verificou nos filmes formados e indicou a temperatura de degradação do material por volta dos 240-250 ºC. A análise SEM mostrou que os filmes não estão totalmente fundidos e provou a irregularidade da superfície dos mesmos. Provou-se que é possível a produção de filmes de pelo bovino sendo ainda necessário melhorar o processo de mistura do pelo com o glicerol.

Investing to survive in a duopoly model

We present deterministic dynamics on the production costs of Cournot competitions, based on perfect Nash equilibria of nonlinear R&D investment strategies to reduce the production costs of the firms at every period of the game. We analyse the effects that the R&D investment strategies can have in the profits of the firms along the time. We show that small changes in the initial production costs or small changes in the parameters that determine the efficiency of the R&D programs or of the firms can produce strong economic effects in the long run of the profits of the firms.

Stochasticity favoring the effects of the R&D strategies of the firms

We present stochastic dynamics on the production costs of Cournot competitions, based on perfect Nash equilibria of nonlinear R&D investment strategies to reduce the production costs of the firms at every period of the game. We analyse the effects that the R&D investment strategies can have in the profits of the firms along the time. We observe that, in certain cases, the uncertainty can improve the effects of the R&D strategies in the profits of the firms due to the non-linearity of the profit functions and also of the R&D parameters.

Strategic trade policy and signaling costs with differentiated goods

We consider a trade policy model, where the costs of the home firm are private information but can be signaled through the output levels of the firm to a foreign competitor and a home policymaker. We compute the separating equilibrium and the Bayesian Nash equilibrium, and we compare the subsidies, firms’ expected profits and home government’s welfare in both equilibria, for different values of the own price effect parameter.

Cournot model with investments to change the market size

We present a new deterministic dynamical model on the market size of Cournot competitions, based on Nash equilibria of R&D investment strategies to increase the size of the market of the firms at every period of the game. We compute the unique Nash equilibrium for the second subgame and the profit functions for both firms. Adding uncertainty to the R&D investment strategies, we get a new stochastic dynamical model and we analyse the importance of the uncertainty to reverse the initial advantage of one firm with respect to the other.

Symmetry and order parameter dynamics of the human odometer

Bipedal gaits have been classified on the basis of the group symmetry of the minimal network of identical differential equations (alias cells) required to model them. Primary bipedal gaits (e.g., walk, run) are characterized by dihedral symmetry, whereas secondary bipedal gaits (e.g., gallop-walk, gallop- run) are characterized by a lower, cyclic symmetry. This fact has been used in tests of human odometry (e.g., Turvey et al. in P Roy Soc Lond B Biol 276:4309–4314, 2009, J Exp Psychol Hum Percept Perform 38:1014–1025, 2012). Results suggest that when distance is measured and reported by gaits from the same symmetry class, primary and secondary gaits are comparable. Switching symmetry classes at report compresses (primary to secondary) or inflates (secondary to primary) measured distance, with the compression and inflation equal in magnitude. The present research (a) extends these findings from overground locomotion to treadmill locomotion and (b) assesses a dynamics of sequentially coupled measure and report phases, with relative velocity as an order parameter, or equilibrium state, and difference in symmetry class as an imperfection parameter, or detuning, of those dynamics. The results suggest that the symmetries and dynamics of distance measurement by the human odometer are the same whether the odometer is in motion relative to a stationary ground or stationary relative to a moving ground.

Effects of treatment, awareness and condom use in a coinfection model for HIV and HCV in MSM

We develop a new a coinfection model for hepatitis C virus (HCV) and the human immunodeficiency virus (HIV). We consider treatment for both diseases, screening, unawareness and awareness of HIV infection, and the use of condoms. We study the local stability of the disease-free equilibria for the full model and for the two submodels (HCV only and HIV only submodels). We sketch bifurcation diagrams for different parameters, such as the probabilities that a contact will result in a HIV or an HCV infection. We present numerical simulations of the full model where the HIV, HCV and double endemic equilibria can be observed. We also show numerically the qualitative changes of the dynamical behavior of the full model for variation of relevant parameters. We extrapolate the results from the model for actual measures that could be implemented in order to reduce the number of infected individuals.

Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

We study the peculiar dynamical features of a fractional derivative of complex-order network. The network is composed of two unidirectional rings of cells, coupled through a "buffer" cell. The network has a Z3 × Z5 cyclic symmetry group. The complex derivative Dα±jβ, with α, β ∈ R+ is a generalization of the concept of integer order derivative, where α = 1, β = 0. Each cell is modeled by the Chen oscillator. Numerical simulations of the coupled cell system associated with the network expose patterns such as equilibria, periodic orbits, relaxation oscillations, quasiperiodic motion, and chaos, in one or in two rings of cells. In addition, fixing β = 0.8, we perceive differences in the qualitative behavior of the system, as the parameter c ∈ [13, 24] of the Chen oscillator and/or the real part of the fractional derivative, α ∈ {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}, are varied. Some patterns produced by the coupled system are constrained by the network architecture, but other features are only understood in the light of the internal dynamics of each cell, in this case, the Chen oscillator. What is more important, architecture and/or internal dynamics?

Edible coatings based on chitosan-beeswax emulsions

Dissertação para obtenção do Grau de Mestre em Engenharia Química e Bioquímica