منابع مشابه
Amplification induced by white noise
We investigate the amplification of the field induced by white noise. In the present study, we study a stochastic equation which has two parameters, the energy ω(~k) of a free particle and the coupling strength D between the field and white noise, where the quantity ~k represents the momentum of a free particle. This equation is reduced to the equation with one parameter α(~k) which is defined ...
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We studied the amplification of the solution of a Mathieu-like equation with multiplicative white noise. This equation has a periodic varying mass term. The exponents were calculated numerically by solving the stochastic differential equations by symplectic method. It was shown that the exponent increases with a parameter α in the range of large α, where the value of α is determined by the inte...
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Rhythms of life are dictated by oscillations, which take place in a wide rage of biological scales. In bacteria, for example, oscillations have been proven to control many fundamental processes, ranging from gene expression to cell divisions. In genetic circuits, oscillations originate from elemental block such as autorepressors and toggle switches, which produce robust and noise-free cycles wi...
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We study the transport properties of inertial Brownian particles which move in a symmetric periodic potential and are subjected to both a symmetric, unbiased time-periodic external force and a biased Poissonian white shot noise (of non-zero average F ) which is composed of a random sequence of δ-shaped pulses with random amplitudes. Upon varying the parameters of the white shot noise, one can c...
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The ability of Gaussian noise to induce ordered states in dynamical systems is here presented in an overview of the main stochastic mechanisms able to generate spatial patterns. These mechanisms involve: (i) a deterministic local dynamics term, accounting for the local rate of variation of the field variable, (ii) a noise component (additive or multiplicative) accounting for the unavoidable env...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 2006
ISSN: 1347-4081,0033-068X
DOI: 10.1143/ptp.116.37