54 citations · 153 across the 13 of their papers we have counts for
9 papers · 1 filter
A spectral investigation of criticality and crossover effects in two and three dimensions: Short timescales with small systems in minute random matrices
Eliseu Venites Filho, Roberto da Silva, José Roberto Drugowich de Felício
Random matrix theory, particularly using matrices akin to the Wishart ensemble, has proven successful in elucidating the thermodynamic characteristics of critical behavior in spin…
Numerical exploration of the Aging effects in spin systems
Roberto da Silva, Tânia Tomé, Mário José de Oliveira
An interesting concept that has been underexplored in the context of time-dependent simulations is the correlation of total magnetization, %. One of its main advantages over…
Efficient Computational method using random matrices describing critical thermodynamics
Roberto da Silva, Eliseu Venites, Sandra D. Prado +1
Our research highlights the effectiveness of utilizing matrices akin to Wishart matrices, derived from magnetization time series data under specific dynamics, to elucidate phase tr…
Transfer matrix in counting problems made easy
Roberto da Silva, Silvio R. Dahmen, J. R. Drugowich de Felício
The transfer matrix is a powerful technique that can be applied to statistical mechanics systems as, for example, in the calculus of the entropy of the ice model. One interesting w…
Highly detailed computational study of a surface reaction model with diffusion: four algorithms analyzed via time-dependent and steady-state Monte Carlo simulations
Roberto da Silva, Henrique Almeida Fernandes
In this work, we present an extensive computational study on the Ziff-Gulari-Barshad (ZGB) model extended in order to include the spatial diffusion of oxygen atoms and carbon monox…
Non-equilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line
H. A. Fernandes, R. da Silva, A. A. Caparica +1
We investigate the short-time universal behavior of the two dimensional Ashkin-Teller model at the Baxter line by performing time-dependent Monte Carlo Simulations. First, as prepa…
Global persistence exponent of the two-dimensional Blume-Capel model
Roberto da Silva, Nelson A. Alves, J. R. Drugowich de Felicio
The global persistence exponent is calculated for the two-dimensional Blume-Capel model following a quench to the critical point from both disordered states and such with sma…
Universality and scaling study of the critical behavior of the two-dimensional Blume-Capel model in short-time dynamics
Roberto da Silva, Nelson A. Alves, J. R. Drugowich de Felicio
In this paper we study the short-time behavior of the Blume-Capel model at the tricritical point as well as along the second order critical line. Dynamic and static exponents are e…
Mixed initial conditions to estimate the dynamic critical exponent in short-time Monte Carlo simulation
Roberto da Silva, Nelson A. Alves, J. R. Drugowich de Felicio
We explore the initial conditions in short-time critical dynamics to propose a new method to evaluate the dynamic exponent z. Estimates are obtained with high precision for 2D Isin…