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Stochastic quantization method for spinning particles in a gravitational plane wave field

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Lehtihet Z., Chetouani L.

Open Physics

2008

vol. 6

issue 2

372-384

The exact and analytic Green functions for spinning relativistic particles in interaction with a gravitational plane wave field are obtained within the Stochastic Quantization Method of Parisi and Wu. We have separated the classical calculations from those related to the quantum fluctuations. The problem has been solved by using a perturbative treatment via the Langevin equation relying on phase and configuration spaces formulation.

Effects of time delay on the statistical fluctuations for a bistable system driven by cross-correlated noises

100%

Zeng C.-h., Zhou X.-f., Tao S.-f.

Open Physics

2009

vol. 7

issue 3

534-540

We study the effects of time delay on the normalized correlation function C(s) and the associated relaxation time T c for a bistable system with correlations between multiplicative and additive white noises under the condition of small time delay. Using the projection operator method, the expressions of T c and C(s) are obtained. Based on numerical computations, it is found that the delay time τ slows down the rate of fluctuation decay of dynamical variable for the presence of positive feedback intensity (∈ > 0), while speeds up the rate of fluctuation decay of dynamical variable for the presence of negative feedback intensity (∈ < 0). The effects of the delay time τ on the T c and C(s) are entirely opposite for ∈ 〉 0 and ∈ < 0.

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2 Open Physics

1 2009

1 2008

1 Chetouani L.

1 Lehtihet Z.

1 Tao S.-f.

1 Zeng C.-h.

1 Zhou X.-f.

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Stochastic quantization method for spinning particles in a gravitational plane wave field

Effects of time delay on the statistical fluctuations for a bistable system driven by cross-correlated noises