5 papers
Boltzmann-Kolmogorov equation
Mário J. de Oliveira
We investigate the properties of a Kolmogorov equation governing the time evolution of the probability distribution defined in phase space. Energy is strictly conserved along a tra…
Stochastic interpretation of quantum mechanics
Mário J. de Oliveira
We express the probabilistic character associated to the wave function by treating it as a stochastic variable. This is accomplished by means of a stochastic equation for the wave…
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…
Reflections of Sadi Carnot
Mário José de Oliveira
The Carnot theory is unique among the theories of heat developed before the emergence of thermodynamics because it considers the relationship between heat and work. The theory is c…
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…