Propagação de danos em sistemas cooperativos: propriedades termodinâmicas

High-precision calculations of the correlation functions and order parameters were performed in order to investigate the critical properties of several two-dimensional ferro- magnetic systems: (i) the q-state Potts model; (ii) the Ashkin-Teller isotropic model; (iii) the spin-1 Ising model. We deduced exact relations connecting specific damages (the difference between two microscopic configurations of a model) and the above mentioned thermodynamic quanti- ties which permit its numerical calculation, by computer simulation and using any ergodic dynamics. The results obtained (critical temperature and exponents) reproduced all the known values, with an agreement up to several significant figures; of particular relevance were the estimates along the Baxter critical line (Ashkin-Teller model) where the exponents have a continuous variation. We also showed that this approach is less sensitive to the finite-size effects than the standard Monte-Carlo method. This analysis shows that the present approach produces equal or more accurate results, as compared to the usual Monte Carlo simulation, and can be useful to investigate these models in circumstances for which their behavior is not yet fully understood

Fases e criticalidade no modelo ashkin - teller de três cores

The usual Ashkin-Teller (AT) model is obtained as a superposition of two Ising models coupled through a four-spin interaction term. In two dimension the AT model displays a line of fixed points along which the exponents vary continuously. On this line the model becomes soluble via a mapping onto the Baxter model. Such richness of multicritical behavior led Grest and Widom to introduce the N-color Ashkin-Teller model (N-AT). Those authors made an extensive analysis of the model thus introduced both in the isotropic as well as in the anisotropic cases by several analytical and computational methods. In the present work we define a more general version of the 3-color Ashkin-Teller model by introducing a 6-spin interaction term. We investigate the corresponding symmetry structure presented by our model in conjunction with an analysis of possible phase diagrams obtained by real space renormalization group techniques. The phase diagram are obtained at finite temperature in the region where the ferromagnetic behavior is predominant. Through the use of the transmissivities concepts we obtain the recursion relations in some periodical as well as aperiodic hierarchical lattices. In a first analysis we initially consider the two-color Ashkin-Teller model in order to obtain some results with could be used as a guide to our main purpose. In the anisotropic case the model was previously studied on the Wheatstone bridge by Claudionor Bezerra in his Master Degree dissertation. By using more appropriated computational resources we obtained isomorphic critical surfaces described in Bezerra's work but not properly identified. Besides, we also analyzed the isotropic version in an aperiodic hierarchical lattice, and we showed how the geometric fluctuations are affected by such aperiodicity and its consequences in the corresponding critical behavior. Those analysis were carried out by the use of appropriated definitions of transmissivities. Finally, we considered the modified 3-AT model with a 6-spin couplings. With the inclusion of such term the model becomes more attractive from the symmetry point of view. For some hierarchical lattices we derived general recursion relations in the anisotropic version of the model (3-AAT), from which case we can obtain the corresponding equations for the isotropic version (3-IAT). The 3-IAT was studied extensively in the whole region where the ferromagnetic couplings are dominant. The fixed points and the respective critical exponents were determined. By analyzing the attraction basins of such fixed points we were able to find the three-parameter phase diagram (temperature £ 4-spin coupling £ 6-spin coupling). We could identify fixed points corresponding to the universality class of Ising and 4- and 8-state Potts model. We also obtained a fixed point which seems to be a sort of reminiscence of a 6-state Potts fixed point as well as a possible indication of the existence of a Baxter line. Some unstable fixed points which do not belong to any aforementioned q-state Potts universality class was also found

Efeito dos andrógenos na estabilização da preferência manual em machos adultos de sagui comum (Callithrix jacchus)

The role of steroids hormones on the behavior of vertebrates have been described as organizational and activational effects. These actions occur in different periods of the ontogenetic development as fetal, early post natal and during puberty (organizational effect) or modifying the expression of behavioral patterns during time life (activational effects). Studies on brain lateralization in hand use in human and non-human primates have shown that sexual hormones seems to participate in the process of handedness strength that begins in the puberal period and is stabilized at the adult age. The aim of this study was to investigate in adult male Callithrix jacchus if the strength of use of the hand in common marmoset adult male is stable (organizational effect) or androgens variations could affect its stability (activational effect). The preferential use of one hand in 14 common marmoset (Callithrix jacchus was studied in two contexts: (1) spontaneous holding food and directing the food to mouth (feeding episodes), and (2) forced reaching food tests where the animal have to reach the food through a hole within a cover plate with a central hole that allow the use of one hand only to reach the food. The records were made during 5 sessions/20 bouts each during baseline totalizing 100 episodes before two treatments. Firstly it was used GnRH antagonist: a single subcutaneous injection of 100µg de Cetrotide – acetate of cetrorrelix (Baxter Oncology GmbH, Germany) (n=10). Secondly, a single GnRH injection of 0.2mg of GnRH (Sigma – Aldrich) (n= 8) was used. After injections 20 successful attempts of hand use episodes was recorded in the 1st , 2 nd, 7th, 15th and 30 th days, totalizing in the whole period 100 episodes for each context, after both treatments. Fecal sampling to measure extracted fecal androgens was performed in all days of data collection across the length of the basal and during the experimental periods. Statistical analysis by mixed model, Tukey test to compare mean values after the two treatments, and Levene test to compare mean variance were used, all for p-value < 0.05. In basal phase 6 animals used preferentially the right hand, 5 the left and 3 were ambidextrous. Mean handedness index in basal phase were different from that after both treatment starting at 7th day. Mean variance of handedness index for spontaneous and forced activities does not differs before and after both treatments but the mean values for GnRH index were higher than that observed for its antagonist. These findings suggested that androgens have an activational effect on handedness in adult male C. jacchus