Switching-path distribution in multidimensional systems.
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Citations
Experimental metrics for detection of detailed balance violation.
Transition times in the low-noise limit of stochastic dynamics
Experiments and open-loop control of multiple catalytic microrobots
Mesoscopic physics of nanomechanical systems
Control of MEMS on the edge of instability
References
Brownian motion in a field of force and the diffusion model of chemical reactions
Random Perturbations of Dynamical Systems
TRANSITION PATH SAMPLING: Throwing Ropes Over Rough Mountain Passes, in the Dark
Fluctuations and Irreversible Processes
Mechanical parametric amplification and thermomechanical noise squeezing.
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Frequently Asked Questions (10)
Q2. What is the probable fluctuational path from the saddle point to the attractor?
For equilibrium systems, the most probable fluctuational path uphill, i.e., from an attractor to the saddle point, is the time reversal of the fluctuation-free downhill path from the saddle point back to the attractor.
Q3. What is the effect of adding white noise to the excitation voltage?
When white noise is added to the excitation voltage, the system can occasionally overcome the activation barrier and switch from one stable state to the other.
Q4. What are the parameters used for the calculation of the MPSP?
Calculation of the MPSP requires a number of device parameters including , 1, the parametric modulation amplitude ke, and the nonlinear constant nonlinear=3 /8 1 48 .
Q5. How many s2 is the parametric modulation amplitude ke?
the parametric modulation amplitude ke is determined from the bifurcation frequencies 2 b1,2=2 1 p, where p= ke 2 − 4 1 2 1/2 /2 1. This gives ke=1.94 107 s−2.
Q6. How many dimensionless constants are in Eqs. 26 and 25?
27Using these measured device parameters, the dimensionless constants contained in K in Eqs. 26 and 25 can be directly calculated to be E=176.349, =4.968, and =0.9367.
Q7. What is the condition that p12 q, t be maximal on the MP?
From conservation of the stationary probability current it follows that the distribution p12 q , t should sharply increase near the saddle point.
Q8. What is the renormalization of the term cos t?
The renormalization of this term by the nonlinear terms in Eq. 22 for example, 0−2F cos t is small for their device and is disregarded.
Q9. What is the typical relaxation time of the MPSP?
If the typical relaxation time is smaller than or of the order of the modulation period, the MPSPs are well-synchronized and periodically repeat in time.
Q10. How many paths were followed in switching between the two dynamical variables?
The paths followed in switching between these states were accumulated and their distribution in the space of the two dynamical variables the oscillation quadratures was obtained.