14,874 research outputs found
Calculating Biological Behaviors of Epigenetic States in Phage lambda Life Cycle
Gene regulatory network of lambda phage is one the best studied model systems
in molecular biology. More 50 years of experimental study has provided a
tremendous amount of data at all levels: physics, chemistry, DNA, protein, and
function. However, its stability and robustness for both wild type and mutants
has been a notorious theoretical/mathematical problem. In this paper we report
our successful calculation on the properties of this gene regulatory network.
We believe it is of its first kind. Our success is of course built upon
numerous previous theoretical attempts, but following 3 features make our
modeling uniqu:
1) A new modeling method particular suitable for stability and robustness
study;
2) Paying a close attention to the well-known difference of in vivo and in
vitro;
3) Allowing more important role for noise and stochastic effect to play.
The last two points have been discussed by two of us (Ao and Yin,
cond-mat/0307747), which we believe would be enough to make some of previous
theoretical attempts successful, too. We hope the present work would stimulate
a further interest in the emerging field of gene regulatory network.Comment: 16 pages, 3 figures, 1 tabl
Tunneling with the Lorentz Force and the Friction
We present a semiclassical study of a transport process, the tunneling, in
the presence of a magnetic field and a dissipative environment. We have found
that the problem can be mapped onto an effective one-dimensional one, and the
tunneling rate is strongly affected by the magnetic field, such as a complete
suppression by a large parallel magnetic field, an example of the dynamical
localization. In such case a small perpendicular component of the field, or the
dissipation, can enhance the tunneling rate. In the small parallel field and
finite temperatures the tunneling rate is finite. Explicit expressions will be
presented in those cases. If viewing the tunneling in the presence of a
magnetic field as a dissipative tunneling process, by varying the magnetic
field and the potential one can obtain the dissipative spectral function
between the subohmic and the superohmic . In combination
with a real dissipative spectral function, the effect of the magnetic field can
map the spectral function from to , with mapping to ,
revealing a dual symmetry between the friction and the Lorentz force. Two cases
relevant to experiments, the edge state tunneling in a Hall bar and the
tunneling near the dynamical localization will be discussed in detail.Comment: Late
Power-Aware Speed Scaling in Processor Sharing Systems
Energy use of computer communication systems has quickly become a vital design consideration. One effective method for reducing energy consumption is dynamic speed scaling, which adapts the processing speed to the current load. This paper studies how to optimally scale speed to balance mean response time and mean energy consumption under processor sharing scheduling. Both bounds and asymptotics for the optimal speed scaling scheme are provided. These results show that a simple scheme that halts when the system is idle and uses a static rate while the system is busy provides nearly the same performance as the optimal dynamic speed scaling. However, the results also highlight that dynamic speed scaling provides at least one key benefit - significantly improved robustness to bursty traffic and mis-estimation of workload parameters
Stochastic Analysis of Power-Aware Scheduling
Energy consumption in a computer system can be reduced by dynamic speed scaling, which adapts the processing speed to the current load. This paper studies the optimal way to adjust speed to balance mean response time and mean energy consumption, when jobs arrive as a Poisson process and processor sharing scheduling is used. Both bounds and asymptotics for the optimal speeds are provided. Interestingly, a simple scheme that halts when the system is idle and uses a static rate while the system is busy provides nearly the same performance as the optimal dynamic speed scaling. However, dynamic speed scaling which allocates a higher speed when more jobs are present significantly improves robustness to bursty traffic and mis-estimation of workload parameters
Invalidity of Classes of Approximated Hall Effect Calculations
In this comment, I point out a number of approximated derivations for the
effective equation of motion, now been applied to d-wave superconductors by
Kopnin and Volovik are invalid. The major error in those approximated
derivations is the inappropriate use of the relaxation time approximation in
force-force correlation functions, or in force balance equations, or in similar
variations. This approximation is wrong and unnecessary.Comment: final version, minor changes, to appear in Phys. Rev. Let
Two Stages in the evolution of binary alkali Bose-Einstein condensate mixtures towards phase segregation
Two stages of quantum spinodal decomposition is proposed and analyzed for
this highly non-equilibrium process. Both time and spatial scales for the
process are found. Qualitative agreement with existing data is found. Some
cases the agreements are quantitative. Further experimental verifications are
indicated.Comment: late
Dissipative Tunneling in 2 DEG: Effect of Magnetic Field, Impurity and Temperature
We have studied the transport process in the two dimensional electron gas
(2DEG) in presence of a magnetic field and a dissipative environment at
temperature T. By means of imaginary time series functional integral method we
calculate the decay rates at finite temperature and in the presence of
dissipation. We have studied decay rates for wide range of temperatures -- from
the thermally activated region to very low temperature region where the system
decays by quantum tunneling. We have shown that dissipation and impurity helps
the tunneling. We have also shown that tunneling is strongly affected by the
magnetic field. We have demonstrated analytical results for all the cases
mentioned above.Comment: 8 pages, 2 figure
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