It is shown how the autocorrelation function theory based on the Wiener-Khintchine Theorem (WKT) is used to analyze stochastically fluctuating phenomena. This theory might be called "time-dependent statistical mechanics" since it permits to describe fluctuations that are outside the scope of the equilibrium statistical mechanics. It is of prime importance in the investigations of noise problems. Are analyzed here the Drag and Brownian motion and electric noises. It will be also briefly shown how these phenomena can be understood taking into account the Fluctuation-Dissipation Theorem (FDT). Key words: stochastically fluctuating phenomena; noise
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We study steady-state correlation functions of nonlinear stochastic processes driven by external col...
Lévy processes are the natural continuous-time analogue of random walks and form a rich class of sto...
motivation and warm-up Correlated Gaussian dynamics: check TFRs for generalized Langevin dynamics No...
It is shown how the autocorrelation function theory based on the Wiener-Khintchine Theorem (WKT) is ...
Abstract. We study transient work fluctuation relations (FRs) for Gaussian stochastic systems genera...
In a stochastic process, where noise is always present, the fluctuation-dissipation theorem (FDT) be...
For systems close to equilibrium, the relaxation properties of measurable physical quantities are de...
Abstract. We study Fluctuation Relations (FRs) for dynamics that are anomalous, in the sense that th...
We introduce a general formulation of the fluctuation-dissipation relations (FDRs) holding also in f...
Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are ...
We discuss how the effective parameters characterising averaged motion in nonlinear systems are affe...
We discuss how the effective parameters characterising averaged motion in nonlinear systems are affe...
How can fluctuations in one-dimensional time series data be characterized and how can detected effec...
Fluctuation theorems (FTs) based on time-reversal have provided remarkable insight into the non-equi...
A stochastic process or sometimes called random process is the counterpart to a deterministic proces...
We study steady-state correlation functions of nonlinear stochastic processes driven by external col...
Lévy processes are the natural continuous-time analogue of random walks and form a rich class of sto...
motivation and warm-up Correlated Gaussian dynamics: check TFRs for generalized Langevin dynamics No...