# Noise correlation-induced splitting of Kramers' escape rate from a metastable state.

@article{Ghosh2007NoiseCS, title={Noise correlation-induced splitting of Kramers' escape rate from a metastable state.}, author={Pulak Kumar Ghosh and Bidhan Chandra Bag and Deb Shankar Ray}, journal={The Journal of chemical physics}, year={2007}, volume={127 4}, pages={ 044510 } }

A correlation between two noise processes driving the thermally activated particles in a symmetric triple-well potential may cause a symmetry breaking and a difference in relative stability of the two side wells with respect to the middle one. This leads to an asymmetric localization of population and splitting of Kramers' rate of escape from the middle well, ensuring a preferential distribution of the products in the course of a parallel reaction.

## 28 Citations

The quantum rate of escape from a metastable state non-linearly coupled to a heat bath driven by external colored noise

- Physics
- 2008

We have studied the quantum stochastic dynamics of a system whose interaction with a reservoir is non-linear in system coordinates. In addition, the bath particles are driven by external noise with…

Multiplicative cross-correlated noise induced escape rate from a metastable state.

- PhysicsThe Journal of chemical physics
- 2008

It is evident both from analytical development and the corresponding numerical simulation that the enhancement of rate is possible by increasing the degree of correlation of the external fluctuations.

Asymmetric stochastic localization in geometry controlled kinetics.

- PhysicsThe Journal of chemical physics
- 2011

It is demonstrated that a correlation between two external noise forces causes a symmetry breaking of entropic stability, i.e., a difference in relative stability of two lobes, which leads to an asymmetric localization of population in the stationary state.

Noise induced escape through an unstable limit cycle in the presence of a fluctuating barrier

- Physics
- 2009

The escape of Brownian particles through an unstable limit cycle in the presence of deterministic barrier fluctuations has been studied. It has been observed that with increasing non-Gaussian…

Entropic noises-induced resonance in a geometrically confined system

- Physics
- 2012

We consider the motion of Brownian particles through a narrow tube of varying cross-section in a geometrically confined system subjected to a sinusoidal oscillating force. The varying cross-section…

Noise-formed triple-well potential and stochastic resonance of charge carriers

- PhysicsPramana
- 2022

We study the thermal dynamics of charge carriers jumping across potential traps in a one-dimensional semiconductor layer. The potential traps are denser at the middle layer and decay exponentially…

Time-Delay Induced Reentrance Phenomenon in a Triple-Well Potential System Driven by Cross-Correlated Noises

- Physics
- 2009

The effects of the time delay on the stationary properties of a triple-well potential system driven by the cross-correlated multiplicative and additive noises are investigated. The stationary…

Logical stochastic resonance in triple-well potential systems driven by colored noise.

- PhysicsChaos
- 2012

It is shown that LSR can be successfully induced by additive or multiplicative Gaussian colored noise in some cases and the flexible and reliable logic behavior can be yielded for a = 0 due to the fact that the multiplicativeGaussiancolored noise strongly affects the shape of the potential function.

Noise-Induced Transitions and Resonances in a Delayed Triple-Well Potential System

- Physics
- 2020

The noise-induced transitions and resonances are studied in a delayed triple-well potential system driven by correlated Gaussian white noises and a harmonic signal. The analytical expressions for the…

Effects of non-Gaussian noise on logical stochastic resonance in a triple-well potential system

- Physics
- 2014

In this paper, we have investigated the phenomenon of logical stochastic resonance in a trip-well potential system driven by a colored non-Gaussian noise. The effects of a non-Gaussian noise on…

## References

SHOWING 1-10 OF 44 REFERENCES

Quantum escape kinetics over a fluctuating barrier.

- PhysicsThe Journal of chemical physics
- 2005

This work extends the analysis of this phenomenon of resonant activation to quantum domain to show how quantization significantly enhances resonantactivation at low temperature due to tunneling.

Resonant activation over a fluctuating barrier.

- PhysicsPhysical review letters
- 1992

For a piecewise linear barrier switching between two values as a Markov process, exact and Monte Carlo rersults reveal a novel resonantlike phenomenon as a function of the barrier fluctuation rate.

Matching a diffusive and a kinetic approach for escape over a fluctuating barrier.

- PhysicsPhysical review letters
- 1993

When the fluctuation frequency is small compared to the time scale for adiabatic adjustment, which includes the low and intermediate frequency regimes, a kinetic approximation reproduces the Fokker-Planck results.

Asymmetric confinement in a noisy bistable device

- Physics
- 2004

A Brownian particle hopping in a symmetric double-well potential can be statistically confined to a single well by the simultaneous action of a) two periodic input signals, one tilting the minima,…

Reaction-rate theory: fifty years after Kramers

- Physics
- 1990

The calculation of rate coefficients is a discipline of nonlinear science of importance to much of physics, chemistry, engineering, and biology. Fifty years after Kramers' seminal paper on thermally…

Nonequilibrium fluctuation-induced transport.

- PhysicsPhysical review letters
- 1994

It turns out that the magnitude and the direction of the induced current depend not only on the shape of the ratchet, but also on the statistics of the fluctuations.

Noise-induced quantum transport.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2005

It is observed that quantization, in general, enhances classical current at low temperature, while the differences become insignificant at higher temperature, and interplay of quantum diffusion and quantum correction to system potential is analyzed.

Asymmetric probability densities in symmetrically modulated bistable devices.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2005

A Brownian particle hopping in a symmetric double-well potential can be statistically confined into a single well by the simultaneous action of (a) two periodic input signals, one tilting the minima…

Time behaviour of non-linear stochastic processes in the presence of multiplicative noise: From Kramers' to Suzuki's decay

- Physics
- 1982

The diffusional regime of a Brownian particle in a double-well potential in the presence of both additive and multiplicative noise is explored. As a relevant effect of the multiplicative noise, the…