43 research outputs found
Self-Annealing Dynamics in a Multistable System
A new type of dynamical behavior of a multistable system is reported. We
found that a simple non-equilibrium system can reduce its effective temperature
autonomously at a global minimum if the residual frustration at a global
minimum is small enough, which highlights an unexpected feature of
non-equilibrium multistable systems.Comment: 6 pages, Figures available upon reques
Effect of time-correlation of input patterns on the convergence of on-line learning
We studied the effects of time correlation of subsequent patterns on the
convergence of on-line learning by a feedforward neural network with
backpropagation algorithm. By using chaotic time series as sequences of
correlated patterns, we found that the unexpected scaling of converging time
with learning parameter emerges when time-correlated patterns accelerate
learning process.Comment: 8 pages(Revtex), 5 figure
Transformation of dynamical fluctuation into coherent energy
Studies of noise-induced motions are showing that coherent energy can be
extracted from some kinds of noise in a periodic ratchet.
Recently, energetics of Langevin dynamics is formulated by Sekimoto
[J.Phys.Soc.Jpn, 66 1234 (1997)], which can be applied to ratchet systems
described by Fokker-Planck equation. In this paper, we derive an energetics of
ratchet systems that can be applied to dynamical-noise-induced motion in a
static potential. Analytical efficiency of the energy transformation is derived
for the dynamical noise in an overdumping limit of the system.
Comparison between analytical and numerical studies is performed for chaotic
noise.Comment: 3 pages, 2 figures; submitted to Phys. Rev. Let
Comment on "White-Noise-Induced Transport in Periodic Structures"
In the paper by J.\L uczka {\em et al.} ({\em Europhys. Lett.}, {\bf 31}
(1995) 431), the authors reported by rigorous calculation that an additive
Poissonian white shot noise can induce a macroscopic current of a dissipative
particle in a periodic potential -- even {\em in the absence} of spatial
asymmetry of the potential. We argue that their main result is an obvious one
caused by the spatially broken symmetry of a probability distribution of the
additive noise, unlike the similar result caused by chaotic noise which has a
symmetric probability distribution ({\em J.Phys.Soc.Jpn.}, {\bf 63} (1994)
2014).Comment: 2 pages (Latex); submitted to Europhys.Let
Effect of Chaotic Noise on Multistable Systems
In a recent letter [Phys.Rev.Lett. {\bf 30}, 3269 (1995), chao-dyn/9510011],
we reported that a macroscopic chaotic determinism emerges in a multistable
system: the unidirectional motion of a dissipative particle subject to an
apparently symmetric chaotic noise occurs even if the particle is in a
spatially symmetric potential. In this paper, we study the global dynamics of a
dissipative particle by investigating the barrier crossing probability of the
particle between two basins of the multistable potential. We derive
analytically an expression of the barrier crossing probability of the particle
subject to a chaotic noise generated by a general piecewise linear map. We also
show that the obtained analytical barrier crossing probability is applicable to
a chaotic noise generated not only by a piecewise linear map with a uniform
invariant density but also by a non-piecewise linear map with non-uniform
invariant density. We claim, from the viewpoint of the noise induced motion in
a multistable system, that chaotic noise is a first realization of the effect
of {\em dynamical asymmetry} of general noise which induces the symmetry
breaking dynamics.Comment: 14 pages, 9 figures, to appear in Phys.Rev.
Molecular kinetic analysis of a finite-time Carnot cycle
We study the efficiency at the maximal power of a
finite-time Carnot cycle of a weakly interacting gas which we can reagard as a
nearly ideal gas. In several systems interacting with the hot and cold
reservoirs of the temperatures and , respectively,
it is known that which
is often called the Curzon-Ahlborn (CA) efficiency . For the
first time numerical experiments to verify the validity of
are performed by means of molecular dynamics simulations and reveal that our
does not always agree with , but
approaches in the limit of .
Our molecular kinetic analysis explains the above facts theoretically by using
only elementary arithmetic.Comment: 6 pages, 4 figure
Energetics of Forced Thermal Ratchet
Molecular motors are known to have the high efficiency of energy
transformation in the presence of thermal fluctuation.
Motivated by the surprising fact, recent studies of thermal ratchet models
are showing how and when work should be extracted from non-equilibrium
fluctuations.
One of the important finding was brought by Magnasco where he studied the
temperature dependence on the fluctuation-induced current in a ratchet
(multistable) system and showed that the current can generically be maximized
in a finite temperature.
The interesting finding has been interpreted that thermal fluctuation is not
harmful for the fluctuation-induced work and even facilitates its efficiency.
We show, however, this interpretation turns out to be incorrect as soon as we
go into the realm of the energetics
[Sekimoto,J.Phys.Soc.Jpn.66,1234-1237(1997)]: the efficiency of energy
transformation is not maximized at finite temperature, even in the same system
that Magnasco considered. The maximum efficiency is realized in the absence of
thermal fluctuation. The result presents an open problem whether thermal
fluctuation could facilitate the efficiency of energetic transformation from
force-fluctuation into work.Comment: 3pages, 4sets of figure
Dissociation and ionization of small molecules steered by external noise
We show that ionization and dissociation can be influenced separately in a
molecule with appropriate external noise. Specifically we investigate the
hydrogen molecular ion under a stochastic force quantum mechanically beyond the
Born-Oppenheimer approximation. We find that up to 30% of dissociation without
ionization can be achieved by suitably tuning the forcing parameters.Comment: 13 pages, 6 figure
Inattainability of Carnot efficiency in the Brownian heat engine
We discuss the reversibility of Brownian heat engine. We perform asymptotic
analysis of Kramers equation on B\"uttiker-Landauer system and show
quantitatively that Carnot efficiency is inattainable even in a fully
overdamping limit. The inattainability is attributed to the inevitable
irreversible heat flow over the temperature boundary.Comment: 5 pages, to appear in Phys. Rev.