Journal ArticleDOI
Effect of long range and anharmonicity in the minimum energy states of the Davydov-Scott model
TLDR
In this article, the Davydov-Scott model is extended to include distance dependent nonlocal hopping and/or a nonlinear lattice, which leads to a rich phase diagram for the corresponding minimum energy states.About:
This article is published in Physics Letters A.The article was published on 1998-12-14. It has received 22 citations till now. The article focuses on the topics: Variable-range hopping & Anharmonicity.read more
Citations
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Journal ArticleDOI
A generalized Davydov soliton model for energy transfer in alpha helical proteins
M. K. Daniel,M.M. Latha +1 more
TL;DR: In this paper, a generalized Davydov model with higher order molecular interactions and excitations of dipole and quadrupole types with appropriate nonlinear coupling with phonons was proposed to represent energy transfer along the hydrogen bonding spines of the alpha helical proteins.
Journal ArticleDOI
Curvature-induced symmetry breaking in nonlinear Schrodinger models
TL;DR: This work considers a curved chain of nonlinear oscillators and shows that the interplay of curvature and nonlinearity leads to a symmetry breaking when an asymmetric stationary state becomes energetically more favorable than a symmetric stationaryState.
Journal ArticleDOI
Soliton in alpha helical proteins with interspine coupling at higher order
M. K. Daniel,M.M. Latha +1 more
TL;DR: In this article, the dynamics of alpha helical proteins with next nearest neighbor interactions and interspine coupling at higher order in the continuum limit were studied and the molecular excitations along the three hydrogen bonding spines were found to be governed by soliton modes for specific choices of parameters.
Journal ArticleDOI
On the possibility of electric transport mediated by long living intrinsic localized solectron modes
O. G. Cantu Ros,Leonor Cruzeiro,Leonor Cruzeiro,Manuel G. Velarde,Werner Ebeling,Werner Ebeling +5 more
TL;DR: In this paper, the authors consider a polaron Hamiltonian in which not only the lattice and the electron-lattice interactions, but also the electron hopping term is affected by anharmonicity.
Journal ArticleDOI
A generalized Davydov model with interspine coupling and its integrable discretization
S Saravana Veni,M.M. Latha +1 more
TL;DR: In this article, a generalized model for the dynamics of alpha helical proteins by including excitations of dipole and quadrupole types, nearest and next nearest-neighbour interactions and interspine coupling at higher order was proposed.
References
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Journal ArticleDOI
Studies of polaron motion: Part I. The molecular-crystal model
TL;DR: In this paper, a model for polaron motion is described, in simplified form, incorporating the principal physical features of the problem, and the conditions under which the size of the polaron becomes comparable to a lattice spacing (small) are discussed.
Book
Solitons in molecular systems
TL;DR: Agarwal as discussed by the authors pointed out that the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches, but also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related.
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The theory of contraction of proteins under their excitation
TL;DR: The quantum theory of contraction of α-helical proteins under the excitation of their peptide groups, which form three parallel chains of hydrogen bonds along the molecule, is developed.
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Dynamics of Davydov solitons
TL;DR: In this paper, a numerical model for the helix soliton was proposed to predict that such solitons should appear under normal physiological conditions, supported by the assignment of a recently measured laser-Raman spectrum of a metabolically active cell to internal vibrations of the soliton.