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We study the effect of the composition of the genetic sequence on the melting temperature of double stranded DNA, using some simple analytically solvable models proposed in the framework of the wetting problem. We review previous work on disordered versions of these models and solve them when...
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-reversible noise is analyzed. The calculation of the effective diffusion coefficient is reduced to the mean first passage time problem … supersymmetric potential modulated by: (i) an external white Gaussian noise and (ii) a Markovian dichotomous noise. For both cases … in the absence of thermal noise. For rectangular potential the diffusion slows down, for all parameters of noise and of …
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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
We study a general class of nonlinear mean field Fokker-Planck equations in relation with an effective generalized thermodynamical (E.G.T.) formalism. We show that these equations describe several physical systems such as: chemotaxis of bacterial populations, Bose-Einstein condensation in the...
Persistent link: https://www.econbiz.de/10009280941
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