Translocation dynamics of knotted polymers under a constant or periodic external field

We consider the Schrödinger equation for a class of two-level atoms in a quasi-periodic external field for large coupling, i.e. for which the energy difference 2∊ between the unperturbed levels is sufficiently small. We show that this equation has a solution in terms of a formal power series in ∊, with coefficients which are quasi-periodical functions of the time, in analogy to the Lindstedt–Poincaré series in classical mechanics.

Download Full-text

Nonequilibrium phase transitions and stationary-state solutions of a three-dimensional random-field Ising model under a time-dependent periodic external field

Physical Review E ◽

10.1103/physreve.85.051123 ◽

2012 ◽

Vol 85 (5) ◽

Cited By ~ 22

Author(s):

Yusuf Yüksel ◽

Erol Vatansever ◽

Ümit Akıncı ◽

Hamza Polat

Keyword(s):

Phase Transitions ◽

Ising Model ◽

External Field ◽

Random Field ◽

Stationary State ◽

Three Dimensional ◽

Time Dependent ◽

Nonequilibrium Phase Transitions ◽

Random Field Ising Model ◽

Periodic External Field

Download Full-text

The complexity of wave propagation of the nonlinear Schrödinger equation with weak periodic external field

Nonlinear Analysis ◽

10.1016/j.na.2006.11.010 ◽

2008 ◽

Vol 68 (2) ◽

pp. 420-429

Author(s):

Yanxia Hu ◽

Keying Guan

Keyword(s):

Wave Propagation ◽

External Field ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Periodic External Field

Download Full-text

Autoresonant Excitation of Spin Wave "Dark" Solitons

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.233-234.82 ◽

2015 ◽

Vol 233-234 ◽

pp. 82-85 ◽

Cited By ~ 1

Author(s):

M.A. Borich ◽

A.P. Tankeev ◽

A.G. Shagalov

Keyword(s):

External Field ◽

Resonant Frequency ◽

Spin Wave ◽

Threshold Condition ◽

Dark Solitons ◽

Excited Wave ◽

Periodic External Field

In this paper we propose a method to generate pure dark solitons by a periodic external field with a slowly varying frequency, which allows to control amplitude of the excited solitons and period of soliton trains. Our approach to generate dark solitons is based on the effect of autoresonance when the excited wave is phase-locked by the drive after the crossing the resonance. The resonant frequency and the threshold condition on the amplitude of the driving were found.

Download Full-text