Motion of Kink in Hydrogen-Bonded Chain with Asymmetric Double-Well Potential

Abstract

We discuss the nonlinear excitations and the motion of kink in hydrogen-bonded chain with asymmetric double-well potential, in presence of an external force and damping using a new two-component soliton model. We obtain the kink soliton solution using the phase-plane method, we study soliton velocity and find the expression of the mobility of the kink soliton.KEY WORDS: hydrogen bonded chain; two-component model; asymmetric doublewell potential; kink.

Domain wall and periodic solutions of coupled asymmetric double well models

“…Our results are relevant for a wide range of physical situations including structural transformations (with coupling of strain and shuffle modes) [9,10], liquid crystals [3], hydrogen bonded chains [4,5,6,7] and field theoretic contexts [8]. For structural phase transformations the solutions provide novel domain wall arrays, e.g.…”

“…Instead an asymmetric double well (or φ 2 -φ 3 -φ 4 ) free energy is sufficient to drive the transition (with or without an external field [1,2]). This situation occurs in body-centered cubic (bcc) to face-centered cubic (fcc) reconstructive structural phase transitions in crystals, the ω-phase transition in various elements and alloys [2], isotropic to nematic phase transition in liquid crystals [3] and in the hydrogen chains in hydrogen-bonded materials [4,5,6,7].…”

Propagation of proton solitons in hydrogen-bonded chains with an asymmetric double-well potential

“…In ACN, the nearest-neighbor atoms located on both sides of the hydrogen atom are different heavy ions such as oxygen and nitrogen; thus the hydrogen bridge in an ACN is asymmetric and the protons live in an asymmetric effective potential with double minima in which the minima are not equivalent and the protons appear in the two wells with different probabilities. We consider a two-component model in an HB chain with an asymmetric double-well potential with the assumption that there exists a linear interaction between the proton sublattice and the heavy-ion sublattice [35]. Thus, the Hamiltonian of the system can be written as…”