Synergetics of Molecular Systems by Lev N. Lupichev, Alexander V. Savin, Vasiliy N. Kadantsev
By Lev N. Lupichev, Alexander V. Savin, Vasiliy N. Kadantsev
Synergetics is the quantitative research of multicomponent platforms that show nonlinear dynamics and cooperativity. This booklet particularly considers simple types of the nonlinear dynamics of molecular platforms and discusses correct functions in organic physics and the polymer sciences.
Emphasis is put on particular recommendations to the dynamical equations that correspond to the coherent formation of spatial-temporal buildings, equivalent to solitons, kinks and breathers, specifically. The emergence of those styles in molecular constructions offers a number of details on their structural homes and performs an important half in power move methods, topological defects, dislocations, and similar constitution transitions.
Real media, during which solitons take the shape of solitary waves, also are thought of. during this context, the formation of nonlinear waves in a continuing medium defined via nonlinear equations is linked to spontaneous breaking of the neighborhood symmetry of the homogeneous process, which produces a variety of attention-grabbing phenomena.
A specific characteristic of this article is its mix of analytic and computational options to take on tough nonlinear difficulties on the molecular point of matter.
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This is the only way to take into account the system’s anharmonicity, which is determined by its molecular geometry. For example, in the framework of the simplest cluster model of the ˛-chymotrypsin enzyme, it was shown that geometric anharmonicity in the two-dimensional system makes energy transfer between degrees of freedom possible, even for small amplitudes [38, 39]. Applying current computational power to the analysis of nonlinear molecular systems dynamics, one can move from simple one-dimensional models to more complex two- and three-dimensional models, which take into account the geometrical structure of the system in a realistic way.
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