3 papers
physics.gen-ph2017
Anomalous Brownian motion via linear Fokker-Planck equations
A. O. Bolivar
According to a traditional point of view Boltzmann entropy is intimately related to linear Fokker-Planck equations (Smoluchowski, Klein-Kramers, and Rayleigh equations) that descri…
cond-mat.stat-mech2010
Time-dependent attractive thermal quantum force upon a Brownian free particle in the large friction regime
A. O. Bolivar
We quantize the Brownian motion undergone by a free particle in the absence of inertial force (the so-called large friction regime) as described by the diffusion equation early fou…
cond-mat.stat-mech2010
Dynamical quantization of the non-Markovian Smoluchowski equation and the quantum tunneling phenomenon
A. O. Bolivar
Based on the dynamical quantization method we derive a quantum phase-space non-Markovian Smoluchowski equation describing the non-inertial Brownian motion of a harmonic oscillator…