4 papers
A bubble theorem
Oscar Bolina, J. Rodrigo Parreira
Proof of a simple mathematical inequality using elements of surface tension theory and ideal gas law to the formation and coalescence of bubbles.
Bounds on Correlation Functions of Quantum Rotators
Oscar Bolina, J. Rodrigo Parreira
We derive a McBryan-Spencer bound to the correlation function of a one-dimensional array of quantum rotators in the Villain approximation of the cosine interaction. We obtain the p…
A Cluster Expansion for Dipole Gases
Oscar Bolina, J. R. Parreira
We give a new proof of the well-known upper bound on the correlation function of a gas of non-overlapping dipoles of fixed length and discrete orientation working directly in the c…
A Problem of Relative, Constrained Motion
Oscar Bolina, J. R. Parreira
We develop a new method to determine the acceleration of a block sliding down along the face of a moving wedge. We have been able to link the solution of this problem to that of th…