Asymptotic Analysis for Randomly Forced MHD

Randomly forced DNA.

We study the effect of random forces on a double-stranded DNA in unzipping the two strands, analogous to the problem of an adsorbed polymer under a random force. The ground state develops bubbles of various lengths as the random force fluctuation is increased. The unzipping phase diagram is shown to be drastically different from the pure case.

Second Order Moment Asymptotic Expansions for a Randomly Stopped and Standardized Sum

This paper establishes the first four moment expansions to the order o(a^−1) of S_{t_{a}}^{prime }/sqrt{t_{a}}, where S_{n}^{prime }=sum_{i=1}^{n}Y_{i} is a simple random walk with E(Yi) = 0, and ta is a stopping time given by t_{a}=inf left{ ngeq 1:n+S_{n}+zeta _{n}>aright}‎ where S_{n}=sum_{i=1}^{n}X_{i} is another simple random walk with E(Xi) = 0, and {zeta _{n},ngeq 1} is a sequence of ran...

Attractors of a randomly forced electronic

This paper examines an electronic oscillator forced by a pseudo-random noise signal. We give evidence of the existence of one or more random at-tractors for the system depending on noise amplitude and system parameters. These random attractors may appear to be random xed points or random chaotic attractors. In the latter case, we observe a form of intermittent synchronization of the response of...

Entropy generation analysis of MHD forced convective flow through a horizontal porous channel

Entropy generation due to viscous incompressible MHD forced convective dissipative fluid flow through a horizontal channel of finite depth in the existence of an inclined magnetic field and heat source effect has been examined. The governing non-linear partial differential equations for momentum, energy and entropy generation are derived and solved by using the analytical method. In addition; t...

Asymptotic normality of randomly truncated stochastic algorithms