Bell-shape soliton pair in a hydrogen-bonded chain with asymmetric double-well potential

Xu, Jingjun; Huang, Jing-Ning

doi:10.1016/0375-9601(94)00916-d

Cited by 32 publications

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“…Usually, topological defects are linearly stable in relativistic field theory, and the non-topological ones are unstable. The instability of the localized structures does not rule them out of physics, because we can enlarge the model and find mechanisms to stabilize the solution [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. An example of this is the case of a fermionic ball [17,19], for instance, which can appear when one considers the inclusion of charged fermions, in a way such that the fermions may be entrapped inside the collapsing solution, making it charged and stabilizing the whole structure.…”

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confidence: 99%

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Compact lumps

Bazeia¹,

Marques²,

Menezes³

2015

EPL

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-We study the presence of lumplike solutions in models described by a single real scalar field with standard kinematics in two-dimensional spacetime. The results show several distinct models that support the presence of bell-shaped, lumplike structures which may live in a compact space.Introduction. -Defect structures that appear in high energy physics can exhibit a topological or nontopological profile. They have been the issue of several investigations [1,2], and may also be of interest in many other areas of physics [3][4][5]9]. Usually, topological defects are linearly stable in relativistic field theory, and the non-topological ones are unstable. The instability of the localized structures does not rule them out of physics, because we can enlarge the model and find mechanisms to stabilize the solution [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. An example of this is the case of a fermionic ball [17,19], for instance, which can appear when one considers the inclusion of charged fermions, in a way such that the fermions may be entrapped inside the collapsing solution, making it charged and stabilizing the whole structure. Another possibility is to see the scalar field as an axion field [6][7][8], and this opens interesting new routes [28]. For these reasons, in this work we concentrate mainly on adding another new possibility, of constructing models that support lumplike structures of the compact type, leaving for the future the use of these solutions to applications in condensed matter and in high energy physics.We then focus on the search of non-topological solutions, which appear in models described by a single real scalar field in (1, 1) spacetime under the action of nonlinear interactions. They are of general interest, and can be used in soft condensed matter physics describing, for instance, charge transport in diatomic chains [10][11][12][13][14] and bright solitons in fibers [9,15], and in high energy

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confidence: 99%

“…They are of general interest, and can be used in soft condensed matter physics describing, for instance, charge transport in diatomic chains [10][11][12][13][14] and bright solitons in fibers [9,15], and in high energy…”

mentioning

confidence: 99%

Compact lumps

Bazeia¹,

Marques²,

Menezes³

2015

EPL

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“…Because the charge density depends directly on δ e = −∂u/∂x (Xu and Huang, 1995). Equation (24) show that the motion of this kink describes the propagation of the charge along the hydrogen-bonded chain and realize the mobility of the kink soliton.…”

Section: The Equations Of Motion and Their Soliton Solutionmentioning

confidence: 99%

“…For example, the acctanilide chain (CH 3 CONHC 6 H 5 ) x is composed of a proton sublattice (H + ) x and heavy ion sublattice (CH 3 CONC 6 H 5 + ) x . We take a new two-component model in a hydrogenbonded chain with asymmetric double-well potential and assume that the coupling between the proton sublattice and the heavy ion sublattice is a linear interaction (Xu and Huang, 1995). The Hamiltonian of the system may be written as a sum of three terms…”

Section: Model and The Hamiltonian Of The Systemmentioning

confidence: 99%

“…The bell-shape soliton model for proton transport in a hydrogen-bonded chain with an asymmetric double-well potential was suggested by Gordon (1988). The motion of a bell shape soliton pair in a hydrogen-bonded chain with an asymmetric double-well potential has been investigated by Xu and Huang (1995). In this paper, we investigate the nonlinear excitation in a hydrogenbonded chain with an asymmetric double-well potential, in the presence of an external force and damping, based on the a new two-component soliton model.…”

Section: Introductionmentioning

confidence: 98%

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

Yao

2006

Int J Theor Phys

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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.

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Kink Pair in Hydrogen Bonded Systems with Symmetric Double-Well Potential

Yao

Liang

2007

Int J Theor Phys

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In hydrogen-bonded systems with a symmetric double-well potential, using the variational method, we study the nonlinear excitations and motion of the solitons in the presence of the optical mode of the heavy ion sublattice, based on a new two-component soliton model. We give the equations of motion and soliton-solutions in such a case. Based on these results we calculate further the energy, the momentum and the effective mass of the kink pair.

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Bell-shape soliton pair in a hydrogen-bonded chain with asymmetric double-well potential

Cited by 32 publications

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Compact lumps

Compact lumps

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

Kink Pair in Hydrogen Bonded Systems with Symmetric Double-Well Potential

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