40 citations · 175 across the 18 of their papers we have counts for
18 papers
Origins of the Ising model
Mário J. de Oliveira
In 1925, Ernest Ising published a paper analyzing a model proposed in 1920 by Wilhelm Lenz for ferromagnetism. The model is composed of constituent units that take only two states…
Entropy production in continuous systems with unidirectional transitions
Mário J. de Oliveira
We derive the expression for the entropy production for stochastic dynamics defined on a continuous space of states containing unidirectional transitions. The expression is derived…
Stochastic motion in phase space on a surface of constant energy
Tânia Tomé, Mário J. de Oliveira
We study closed systems of particles that are subject to stochastic forces in addition to the conservative forces. The stochastic equations of motion are set up in such a way that…
Effect of immunization through vaccination on the SIS epidemic spreading model
Tânia Tomé, Mário J. de Oliveira
We analyze the susceptible-infected-susceptible model for epidemic spreading in which a fraction of the individuals become immune by vaccination. This process is understood as a di…
Epidemic spreading
Tânia Tomé, Mário J. de Oliveira
We present an analysis of six deterministic models for epidemic spreading. The evolution of the number of individuals of each class is given by ordinary differential equations of t…
Stochastic thermodynamics of system with continuous space of states
Mário J. de Oliveira
We analyze the stochastic thermodynamics of systems with continuous space of states. The evolution equation, the rate of entropy production, and other results are obtained by a con…