The formation of correlated states and the increase in barrier transparency at a low particle energy in nonstationary systems with damping and fluctuations
- Electrodynamic Laboratory 'Proton-21' (Ukraine)
- Taras Shevchenko National University (Ukraine)
We consider peculiarities in the formation of a coherent correlated state (CCS) of a particle in a periodically modulated harmonic oscillator with damping for various types of stochastic perturbation. It is shown that in the absence of stochastic perturbation, an optimal relation exists between the damping parameter (damping coefficient) and the modulation depth, for which the 'extrinsic' characteristics of the oscillator (amplitudes of 'classical' oscillation and the momentum of a particle) remain unchanged, while the correlation coefficient rapidly increases from |r| = 0 to |r|{sub max} Almost-Equal-To 1; this corresponds to a completely correlated coherent state. Under nonoptimal conditions, the formation of the CCS with a simultaneous increase in is accompanied by damping or excitation of the oscillator. It is shown that for a certain relation between the damping coefficient and the modulation depth, the presence of a stochastic external force acting on the nonstationary oscillator does not prevent the formation of a CCS with |r|{sub max} {yields} 1. A fundamentally different effect is observed under a stochastic influence on the nonstationary frequency of the oscillator; this effect always limits the value of vertical bar r vertical bar at a level |r|{sub max} < 1; a CCR cannot be formed with an unlimited increase in its intensity, and |r|{sub max} {yields} 0. The influence of the CCS formation on the averaged probability Left-Pointing-Angle-Bracket D Right-Pointing-Angle-Bracket of the tunnel effect (transparency of the potential barrier) is considered for a particle in an oscillator with damping both in the absence and in the presence of a stochastic force. It is shown using a specific example that complete clearing of the potential barrier and the increase in the barrier transparency from the initial value Left-Pointing-Angle-Bracket D{sub r=0} Right-Pointing-Angle-Bracket 10{sup -80} to Left-Pointing-Angle-Bracket D Right-Pointing-Angle-Bracket Almost-Equal-To 1 can occur over a comparatively short time interval in both these cases. These effects can be used to obtain highly efficient nuclear fusion at a low energy of interacting particles.
- OSTI ID:
- 22069316
- Journal Information:
- Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 4 Vol. 115; ISSN JTPHES; ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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