3 citations · 3 across the 3 of their papers we have counts for
5 papers
Brownian Motion Limit of Random Walks in Symetric Non-Homogeneous Media
Domingos H. U. Marchetti, Roberto da Silva
The phenomenon of macroscopic homogenization is illustrated with a simple example of diffusion. We examine the conditions under which a --dimensional simple random walk in a sym…
Convergence of the Mayer Series via Cauchy Majorant Method with Application to the Yukawa Gas in the Region of Collapse
Leonardo F. Guidi, Domingos H. U. Marchetti
We construct majorant functions for the Mayer series of pressure satisfying a nonlinear differential equation of first order which can be solved by the method of character…
Combinatorial Solution of One-Dimensional Quantum Systems
Domingos H. U. Marchetti, Claudio F. S. Rodrigues
We give a self-contained exposition of the combinatorial solution of quantum mechanical systems of coupled spins on a one-dimensional lattice. Using Trotter formula, we write the p…
Rakib-Sivashinsky and Michelson-Sivashinsky Equations for Upward Propagating Flames: A Comparison Analysis
Leonardo F. Guidi, Domingos H. U. Marchetti
We establish a comparison between Rakib--Sivashinsky and Michelson-Sivashinsky quasilinear parabolic differential equations governing the weak thermal limit of upward flame front p…
The Falicov-Kimball Model with Long--Range Hopping Matrices
Oscar Bolina, Domingos H. U. Marchetti
The ground state nature of the Falicov-Kimball model with unconstrained hopping of electrons is investigated. We solve the eigenvalue problem in a pedagogical manner and give a com…