218 research outputs found
Interplay of frequency-synchronization with noise: current resonances, giant diffusion and diffusion-crests
We elucidate how the presence of noise may significantly interact with the
synchronization mechanism of systems exhibiting frequency-locking. The response
of these systems exhibits a rich variety of behaviors, such as resonances and
anti-resonances which can be controlled by the intensity of noise. The
transition between different locked regimes provokes the development of a
multiple enhancement of the effective diffusion. This diffusion behavior is
accompanied by a crest-like peak-splitting cascade when the distribution of the
lockings is self-similar, as it occurs in periodic systems that are able to
exhibit a Devil's staircase sequence of frequency-lockings.Comment: 7 pages, 6 figures, epl.cls. Accepted for publication in Europhysics
Letter
Kinetic Equations for Diffusion in the Presence of Entropic Barriers
We use the mesoscopic nonequilibrium thermodynamics theory to derive the
general kinetic equation of a system in the presence of potential barriers. The
result is applied to the description of the evolution of systems whose dynamics
is influenced by entropic barriers. We analyze in detail the case of diffusion
in a domain of irregular geometry in which the presence of the boundaries
induces an entropy barrier when approaching the exact dynamics by a coarsening
of the description. The corresponding kinetic equation, named Fick-Jacobs
equation, is obtained, and its validity is generalized through the formulation
of a scaling law for the diffusion coefficient which depends on the shape of
the boundaries. The method we propose can be useful to analyze the dynamics of
systems at the nanoscale where the presence of entropy barriers is a common
feature.Comment: 16 pages, 5 figures. Accepted for publication in Phys. Rev.
Diffusion in Stationary Flow from Mesoscopic Non-equilibrium Thermodynamics
We analyze the diffusion of a Brownian particle in a fluid under stationary
flow. By using the scheme of non-equilibrium thermodynamics in phase space, we
obtain the Fokker-Planck equation which is compared with others derived from
kinetic theory and projector operator techniques. That equation exhibits
violation of the fluctuation dissipation-theorem. By implementing the
hydrodynamic regime described by the first moments of the non-equilibrium
distribution, we find relaxation equations for the diffusion current and
pressure tensor, allowing us to arrive at a complete description of the system
in the inertial and diffusion regimes. The simplicity and generality of the
method we propose, makes it applicable to more complex situations, often
encountered in problems of soft condensed matter, in which not only one but
more degrees of freedom are coupled to a non-equilibrium bath.Comment: 10 pages, accepted in Phys. Rev.
Diffusion in Stationary Flow from Mesoscopic Non-equilibrium Thermodynamics
We analyze the diffusion of a Brownian particle in a fluid under stationary
flow. By using the scheme of non-equilibrium thermodynamics in phase space, we
obtain the Fokker-Planck equation which is compared with others derived from
kinetic theory and projector operator techniques. That equation exhibits
violation of the fluctuation dissipation-theorem. By implementing the
hydrodynamic regime described by the first moments of the non-equilibrium
distribution, we find relaxation equations for the diffusion current and
pressure tensor, allowing us to arrive at a complete description of the system
in the inertial and diffusion regimes. The simplicity and generality of the
method we propose, makes it applicable to more complex situations, often
encountered in problems of soft condensed matter, in which not only one but
more degrees of freedom are coupled to a non-equilibrium bath.Comment: 10 pages, accepted in Phys. Rev.
Noise suppression due to long-range Coulomb interaction: Crossover between diffusive and ballistic transport regimes
We present a Monte Carlo analysis of shot-noise suppression due to long-range
Coulomb interaction in semiconductor samples under a crossover between
diffusive and ballistic transport regimes. By varying the mean time between
collisions we find that the strong suppression observed under the ballistic
regime persists under quasi-ballistic conditions, before being washed out when
a complete diffusive regime is reached.Comment: RevTex, 3 pages, 4 figures, minor correction
Gaussian noise and time-reversal symmetry in non-equilibrium Langevin models
We show that in driven systems the Gaussian nature of the fluctuating force
and time-reversibility are equivalent properties. This result together with the
potential condition of the external force drastically restricts the form of the
probability distribution function, which can be shown to satisfy
time-independent relations. We have corroborated this feature by explicitly
analyzing a model for the stretching of a polymer and a model for a suspension
of non-interacting Brownian particles in steady flow.Comment: 6 pages, submitted to PR
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