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reservoir nonlinear coupling model, when the bath is modulated by an external Gaussian random noise with arbitrary decaying … correlation time, we present a microscopic approach to state dependent diffusion and multiplicative noise for an open … consequence of state dependent diffusion and finite correlation time of external noise. Copyright EDP Sciences/Società Italiana di …
Persistent link: https://www.econbiz.de/10009280822
The energy diffusion controlled reaction rate of a reacting particle with linear weak damping and broad-band noise … oscillators under broad-band noise excitation using generalized harmonic functions is briefly introduced. Then, the reaction rate … of the classical Kramers' reacting model with linear weak damping and broad-band noise excitation is investigated by …
Persistent link: https://www.econbiz.de/10009280840
The “power of choice” has been shown to radically alter the behavior of a number of randomized algorithms. Here we explore the effects of choice on models of random tree growth. In our models each new node has k randomly chosen contacts, where k 1 is a constant. It then attaches to...
Persistent link: https://www.econbiz.de/10009280888
The most general reaction-diffusion model on a Cayley tree with nearest-neighbor interactions is introduced, which can be solved exactly through the empty-interval method. The stationary solutions of such models, as well as their dynamics, are discussed. Concerning the dynamics, the spectrum of...
Persistent link: https://www.econbiz.de/10009280951
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Using simple scaling arguments and two-dimensional numerical simulations of a granular gas excited by vibrating one of the container boundaries, we study a double limit of small 1-r and large L, where r is the restitution coefficient and L the size of the container. We show that if the particle...
Persistent link: https://www.econbiz.de/10009281087
Far-from-equilibrium models of interacting particles in one dimension are used as a basis for modelling the stock-market fluctuations. Particle types and their positions are interpreted as buy and sel orders placed on a price axis in the order book. We revisit some modifications of well-known...
Persistent link: https://www.econbiz.de/10009281144
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