Navegando por Autor "Bazeia, D."

Agora exibindo 1 - 9 de 9

From scalar field theories to supersymmetric quantum mechanics
(World Scientific Publishing, 2017-04-03) Bemfica, Fabio Sperotto; Bazeia, D.
In this work, we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here, we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum mechanical problems
From supersymmetric quantum mechanics to scalar field theories
(American Physical Society, 2017-04-11) Bemfica, Fabio Sperotto; Bazeia, D.
In this work, we address the reconstruction problem, investigating the construction of field theories from supersymmetric quantum mechanics. The procedure is reviewed, starting from reflectionless potentials that admit one and two bound states. We show that, although the field theory reconstructed from the potential that supports a single bound state is unique, it may break unicity in the case of two bound states. We illustrate this with an example, which leads us to two distinct field theories
How directional mobility affects coexistence in rock-paper-scissors models
(American Physical Society, 2018) Avelino, P. P.; Bazeia, D.; Losano, L.; Silva, Josinaldo Menezes da; Oliveira, B. F. de; Santos, M. A.
This work deals with a system of three distinct species that changes in time under the presence of mobility, selection, and reproduction, as in the popular rock-paper-scissors game. The novelty of the current study is the modification of the mobility rule to the case of directional mobility, in which the species move following the direction associated to a larger (averaged) number density of selection targets in the surrounding neighborhood. Directional mobility can be used to simulate eyes that see or a nose that smells, and we show how it may contribute to reduce the probability of coexistence
Interfaces with internal structures in generalized rock-paper-scissors models
(American Physical Society, 2014) Avelino, P. P.; Bazeia, D.; Losano, L.; Silva, Josinaldo Menezes da; Oliveira, B. F.
In this work we investigate the development of stable dynamical structures along interfaces separating domains belonging to enemy partnerships in the context of cyclic predator-prey models with an even number of species N >8. We use both stochastic and field theory simulations in one and two spatial dimensions, as well as analytical arguments, to describe the association at the interfaces of mutually neutral individuals belonging to enemy partnerships and to probe their role in the development of the dynamical structures at the interfaces. We identify an interesting behavior associated with the symmetric or asymmetric evolution of the interface profiles depending on whether N/2 is odd or even, respectively. We also show that the macroscopic evolution of the interface network is not very sensitive to the internal structure of the interfaces. Although this work focuses on cyclic predator-prey models with an even number of species, we argue that the results are expected to be quite generic in the context of spatial stochastic May-Leonard models
Junctions and spiral patterns in generalized rock-paper-scissors models
(American Physical Society, 2012) Avelino, P. P.; Bazeia, D.; Losano, L.; Silva, Josenildo Menezes da; Oliveira, B. F.
We investigate the population dynamics in generalized rock-paper-scissors models with an arbitrary number of species N. We show that spiral patterns with N arms may develop both for odd and even N, in particular in models where a bidirectional predation interaction of equal strength between all species is modified to include one N-cyclic predator-prey rule. While the former case gives rise to an interface network with Y-type junctions obeying the scaling law L ∝ t 1/2, where L is the characteristic length of the network and t is the time, the latter can lead to a population network with N-armed spiral patterns, having a roughly constant characteristic length scale. We explicitly demonstrate the connection between interface junctions and spiral patterns in these models and compute the corresponding scaling laws. This work significantly extends the results of previous studies of population dynamics and could have profound implications for the understanding of biological complexity in systems with a large number of species
Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model
(IOP Publishing, 2018) Avelino, P. P.; Bazeia, D.; Losano, L.; Silva, Josinaldo Menezes da; Oliveira, B. F. de
Stochastic simulations of cyclic three-species spatial predator-prey models are usually performed in square lattices with nearest-neighbour interactions starting from random initial conditions. In this letter we describe the results of off-lattice Lotka-Volterra stochastic simulations, showing that the emergence of spiral patterns does occur for sufficiently high values of the (conserved) total density of individuals. We also investigate the dynamics in our simulations, finding an empirical relation characterizing the dependence of the characteristic peak frequency and amplitude on the total density. Finally, we study the impact of the total density on the extinction probability, showing how a low population density may jeopardize biodiversity
String networks in ZN Lotka–Volterra competition models
(Elsevier, 2013) Avelino, P. P.; Bazeia, D.; Silva, Josinaldo Menezes da; Oliveira, B. F.
In this Letter we give specific examples of ZN Lotka–Volterra competition models leading to the formation of string networks. We show that, in order to promote coexistence, the species may arrange themselves around regions with a high number density of empty sites generated by predator–prey interactions between competing species. These configurations extend into the third dimension giving rise to string networks. We investigate the corresponding dynamics using both stochastic and mean field theory simulations, showing that the coarsening of these string networks follows a scaling law which is analogous to that found in other physical systems in condensed matter and cosmology
String networks with junctions in competition models
(Elsevier, 2017) Avelino, Pedro P.; Bazeia, D.; Losano, L.; Silva, Josinaldo Menezes da; Oliveira, Breno F. de
In this work we give specific examples of competition models, with six and eight species, whose threedimensional dynamics naturally leads to the formation of string networks with junctions, associated with regions that have a high concentration of enemy species. We study the two- and three-dimensional evolution of such networks, both using stochastic network and mean field theory simulations. If the predation, reproduction and mobility probabilities do not vary in space and time, we find that the networks attain scaling regimes with a characteristic length roughly proportional to t1/2, where t is the physical time, thus showing that the presence of junctions, on its own, does not have a significant impact on their scaling properties
Von Neummann’s and related scaling laws in rock-paper-scissors-type games
(American Physical Society, 2012) Avelino, P. P.; Bazeia, D.; Losano, L.; Silva, Josenildo Menezes da
We introduce a family of rock-paper-scissors-type models with ZN symmetry (N is the number of species), and we show that it has a very rich structure with many completely different phases. We study realizations that lead to the formation of domains, where individuals of one or more species coexist, separated by interfaces whose (average) dynamics is curvature driven. This type of behavior, which might be relevant for the development of biological complexity, leads to an interface network evolution and pattern formation similar to the ones of several other nonlinear systems in condensed matter and cosmology

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Navegando por Autor "Bazeia, D."