Biomedical subjects

Manuel O Cáceres

Publications and source records attributed to Manuel O Cáceres.

6 recordsLinked to original sources

PubMed2005

Fermi-like behavior of weakly vibrated granular matter.

Vertical movement of zirconia-yttria stabilized 2 mm balls is measured by a laser facility at the surface of a vibrated 3D granular matter under gravity. Realizations z(t) are measured from the top of the container by tuning the fluidized gap with a 1D measurement window in the direction of the gravity. The statistics obeys a Fermi-like configurational approach which is tested by the relation between the dispersions in amplitude and velocity. We introduce a generalized equipartition law to characterize the ensemble of particles which cannot be described in terms of a Brownian motion. The relation between global granular temperature and the external excitation frequency is established.

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PubMed2004

Functional characterization of linear delay Langevin equations.

We present an exact functional characterization of linear delay Langevin equations driven by any noise structure defined through its characteristic functional. This method relies on the possibility of finding an explicitly analytical expression for each realization of the delayed stochastic process in terms of those of the driving noise. General properties of the transient dissipative dynamics are analyzed. The corresponding interplay with a color Gaussian noise is presented. As a full application of our functional method we study a model for population growth with non-Gaussian fluctuations: the Gompertz model driven by multiplicative white shot noise.

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PubMed2004

Anomalous hydrodynamical dispersion and the transport with multiple families of paths in porous media.

We investigate a family of probability distributions that shows anomalous hydrodynamic dispersion, by solving a particular class of coupled generalized master equations. The Fourier-Laplace solution is obtained analytically in terms of the matrix Green function method; then the Coats-Smith concentration profile is revisited in a particular case. Two models of disorder are worked out explicitly, and the mean current is asymptotically calculated. We present an approximation method to calculate the first passage time distribution for this stochastic transport process, and as an example an exact Markovian result is worked out; scaling results are also shown. We discuss the comparison with other different methods to work out complex diffusion phenomena in the presence of disordered multiple transport paths. Extensions when the models are nondiffusive can also be solved in the Fourier-Laplace representation.

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PubMed2003

Multifractal spectra of mean first-passage-time distributions in disordered chains.

The multifractal characterization of the distribution over disorder of the mean first-passage time in a finite chain is revisited. Both, absorbing-absorbing and reflecting-absorbing boundaries are considered. Two models of dichotomic disorder are compared and our analysis clarifies the origin of the multifractality. The phenomenon is only present when the diffusion is anomalous.

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PubMed2003

Computing a non-Maxwellian velocity distribution from first principles.

We investigate a family of single-particle anomalous velocity distribution by solving a particular class of stochastic Liouville equations. The stationary state is obtained analytically and the Maxwell-Boltzmann distribution is reobtained in a particular limit. We discuss the comparison with other different methods to obtain the stationary state. Extensions when the models cannot be solved in an exact way are also pointed out in connection with the one-ficton approximation.

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PubMed2002

Survival and residence times in disordered chains with bias.

We present a unified framework for first-passage time and residence time of random walks in finite one-dimensional disordered biased systems. The derivation is based on the exact expansion of the backward master equation in cumulants. The dependence on the initial condition, system size, and bias strength is explicitly studied for models with weak and strong disorders. Application to thermally activated processes is also developed.

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