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Additive and multiplicative linear and quadratic random forces 1 Entropy 1 Fluctuation hydrodynamics 1 Fluctuation kinetics 1 Linear dissipation 1 Long-wave fluctuations 1 Operator random forces 1 Quantum master equation 1 Random forces 1 Stationary second moment 1 Stochastic oscillator 1 Symmetrized moments 1 Turbulence spectra 1
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Article 3
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Gitterman, M. 1 Peletminskii, S.V. 1 Slyusarenko, Yu.V. 1 Sokolovsky, A.I. 1 Stratonovich, Rouslan L. 1
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Physica A: Statistical Mechanics and its Applications 3
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RePEc 3
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Mean-square displacement of a stochastic oscillator: Linear vs quadratic noise
Gitterman, M. - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 11, pp. 3033-3042
Using the Langevin equations, we calculated the stationary second-order moment (mean-square displacement) of a stochastic harmonic oscillator subject to an additive random force (Brownian motion in a parabolic potential) and to different types of multiplicative noise (random frequency or random...
Persistent link: https://www.econbiz.de/10010871614
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Kinetics and hydrodynamics of long-wave fluctuations under external random force
Peletminskii, S.V.; Slyusarenko, Yu.V.; Sokolovsky, A.I. - In: Physica A: Statistical Mechanics and its Applications 326 (2003) 3, pp. 412-429
A universal phenomenological approach to study evolution of long-wave fluctuations caused by the external random force is developed. The Furutzu–Novikov theorem is generalized for non-Gaussian processes. General kinetic and hydrodynamic equations that include the effect of long-wave...
Persistent link: https://www.econbiz.de/10010589654
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The quantum langevin forces for dynamical systems with linear dissipation and the Lindblad equation
Stratonovich, Rouslan L. - In: Physica A: Statistical Mechanics and its Applications 236 (1997) 3, pp. 335-352
The general form of the quantum master equation (the Lindblad-Kossakowski equation) for linear and nonlinear systems with linear dissipation is considered. This equation and the quantum regression theorem are used for finding two-time commutators and symmetrized moments of the Langevin forces....
Persistent link: https://www.econbiz.de/10010586880
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