Synergetics of molecular systems. ([2014])

• Record Type: Book
• Further Information: Note: Lev N. Lupichev, Alexander V. Savin, Vasiliy N. Kadantsev.
• Authors: Lupichev, L. N; Savin, Alexander V; Kadantsev, Vasiliy N
• Contents: Chapter1 Introduction; References; Chapter2 Acoustic Solitons; 2.1 Fermi-Pasta-Ulam Problem (FPU); 2.2 Solitary Waves; 2.3 Solitons in the Toda Chain; 2.4 Numerical Methods for Finding Soliton Solution; 2.5 Solitons in the Lennard-Jones Chain; 2.6 Solitons in the Diatomic Chain; 2.6.1 Model of the Diatomic Chain; 2.6.2 Continuum Approximation; 2.6.3 Numerical Simulation of Soliton Dynamics; 2.7 Acoustic Solitons in a Helix Chain; 2.7.1 Model of a Helix Chain; 2.7.2 Dispersion Equation; 2.7.3 Numerical Methods for Finding the Soliton Solution; 2.7.4 Results of Numerical Analysis. 2.7.5 Soliton Interaction2.7.6 Modeling Acoustic Soliton Formation; 2.7.7 Interaction of Solitons with MolecularChain Heterogeneities; 2.8 Conclusion; References; Chapter3 Topological Solitons; 3.1 Solitons in a Chain with Substrate; 3.1.1 Stationary State of Topological Soliton; 3.1.2 Interaction of Topological Solitons; 3.1.3 Soliton Dynamics; 3.1.4 Supersonic Regimes of Topological Soliton Motion; 3.2 Solitons in an Anharmonic Chain; 3.2.1 Stationary Soliton State; 3.2.2 Vibrational Eigenmodes of a Topological Soliton; 3.2.3 Numerical Method for Findingthe Vibrational Eigenmodes. 3.3.3 Dispersion of Low-Amplitude Waves3.3.4 Stationary States of Topological Solitons; 3.3.5 Topological Soliton Dynamics; 3.3.6 Interaction of Topological Solitons; 3.3.7 Formation of Topological Solitonsin a Thermalized Lattice; 3.3.8 Conclusion; References; Chapter4 Localized Nonlinear Vibrations; 4.1 A Nonlinear Oscillator; 4.2 A Chain of Nonlinear Oscillators; 4.3 Numerical Method for Finding Breathers; 4.4 Properties of Discrete Breathers; References; Chapter5 Ratchets; 5.1 Asymmetric Pendulum; 5.1.1 Potential Function of an Asymmetric Pendulum; 5.1.2 Dynamical Equation. 5.1.3 Asymmetry of Chaotic Oscillations5.1.4 Asymmetric Particle Drift Velocity; 5.1.5 Frequency Dependence of the Drift Velocity; 5.1.6 Temperature Dependence of the Drift Velocity; 5.1.7 Amplitude Dependence of the Drift Velocity; 5.1.8 Isotope Dependence of the Particle Drift Velocity; 5.1.9 Conclusion; 5.2 Ratchet Dynamics of Solitons in the FK Model; 5.2.1 Asymmetric Chain Model; 5.2.2 Soliton Stationary State; 5.2.3 Soliton Dynamics; 5.2.4 Soliton Mobility; 5.2.5 Soliton Motion Induced by Low-Frequency Noise; 5.2.6 Conclusion.
• Publisher Details: Cham : Springer
• Publication Date: 2014
• Copyright Date: 2015
• Extent: 1 online resource (viii, 332 pages), illustrations
• Subjects: 003/.75; Physics; Nonlinear systems; Solitons; SCIENCE -- System Theory; TECHNOLOGY & ENGINEERING -- Operations Research; Nonlinear systems; Solitons; Science -- Life Sciences -- Biophysics; Science -- Mechanics -- Dynamics -- Fluid Dynamics; Science -- Chemistry -- Physical & Theoretical; Technology & Engineering -- Textiles & Polymers; Biophysics; Materials / States of matter; Quantum & theoretical chemistry; Polymer chemistry; Chemistry; Polymers; Science -- Chaotic Behavior in Systems; Nonlinear science; Electronic books
• Languages: English
• ISBNs: 9783319081953; 3319081950; 3319081942; 9783319081946
• Related ISBNs: 9783319081946
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed Sept. 4, 2014).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.