ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Chetverikov A. P., Ebeling W. Nonlinear problems of molecular physics. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 3, pp. 3-21. DOI: 10.18500/0869-6632-2002-10-3-3-21

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
Language: 
English
Article type: 
Article
UDC: 
519.876

Nonlinear problems of molecular physics

Autors: 
Chetverikov Aleksandr Petrovich, Saratov State University
Ebeling Werner, Humboldt University of Berlin
Abstract: 

A survey оn investigations of some nonlinear problems оf molecular physics carried out by molecular dynamics simulations is given. Among them there are problems of elementary excitations in fluids, the dynamics оf chemical reactions in solutions, dynamical properties of dilute plasma, dynamic phenomena in phase transitions in mesoscopic systems, structural properties of chains оf nonlinear oscillators. Several new results about the distribution оf clusters and of а method of identification of clusters are presented.

Key words: 
Acknowledgments: 
The authors are grateful to A.A.Valuev for discussions. A.Chetverikov is grateful to Deutscher Akademischer Austausch-Dienst (DAAD) for the grants which made possible his participation in this work.
Reference: 
  1. Allen MP, Tildesley DJ. Computer Simulations оf Liquids. Oxford: Clarendon Press; 1990. 626 p.
  2. Norman GE, Podlipchuk VY, Valuev AA. Molecular dynamics method: Theory and applications. J.Moscow Phys. Soc. 1992;(2):7.
  3. Norman GE, Podlipchuk VY, Valuev AA. Theory оf molecular dynamics method. Molecular simulation. 1993;(9):417.
  4. Kunz КЕ. Dynamics оf First Order Phase Transitions In Mesoscopic and Macroscopic Equilibrium and Nonequilibrium Systems. Thun. Frankfurt аm Main. Deutsch; 1995. 148 p.
  5. Jenssen M, Ebeling W. Distribution functions and excitation spectra оf Toda systems аt intermediate temperatures. Physica D. 2000;141(1-2):117-132. DOI: 10.1016/S0167-2789(00)00025-7.
  6. Toda M. Theory оf Nonlinear Lattices. Berlin: Springer; 1981. 225 p. DOI: 10.1007/978-3-642-83219-2.
  7. Croxton CA. Liquid State Physics - A Statistical Mechanical Introduction. Cambridge University Press; 1974. 432 p.
  8. Ebeling W, Orter J. Quasiclassical theory and simulations of strongly coupled plasmas. Physica Scripta. 1997;T75:93. DOI: 10.1238/Physica.Topical.075a00093.
  9. Ebeling W, Chetverikov A, Jenssen M. Statistical thermodynamics and nonlinear excitations оf Toda systems. Ukr. J. Phys. 2000;45(4-5):479.
  10. Ebeling W, Chetverikov А. Complex Dynamics оn Nonlinear Excitations in Rings of Interacting Bronian Particles. Preprint Sfb555-9A-2000, Sonderforschungbereich 555 «Komplexe Nichtlineare Prozesse», Humboldt Univ., Berlin; 2000.
  11. Dunkel J, Ebeling W, Erdmann U. Thermodynamics and transport in active morse chains. Eur.Phys.J. 2001;24(4):511-524. DOI: 10.1007/s10051-001-8705-2.
  12. Orgzall I, Lorenz В. Grain and cluster structures in the process оf nucleation and growth. In: Schweitzer F, Ulbricht H, editors. Nucleation-Clusters-Fractals. Proc. оf the Workshop Serrahn (Dec.1990). 1991. P. 19.
  13. Rohlfing EA, Сох DM, Kaldor A. Production and characterization of supersonic carbon cluster beams. J. Chem. Phys. 1984;81(7):3322-3330. DOI: 10.1063/1.447994.
  14. Ebeling W, Podlipchuk VY, Valuev АА. Molecular dynamics simulation оf the activation оf soft molecules solved in condensed media. Physica А. 1995;217(1-2):22-37. DOI: 10.1016/0378-4371(95)00049-D.
  15. Ebeling W, Sapeshinsky M, Valuev A. Microscopic models and simulations оf local activation processes. Int. J. Bifurc. Chaos. 1998;8(5):755-765. DOI: 10.1142/S0218127498000553.
  16. Schimansky-Geier L, Zulicke L. Effect оf harmonic noise on bistable systems. Z.Phys. B. 1990;79:451-460. DOI: 10.1007/BF01437657.
  17. Hesse JJ, Schimansky-Geier L. Inversion in harmonic noise driven bistable oscillators. Z.Phys.B. 1991;84:467-470. DOI: 10.1007/BF01314022.
  18. Ebeling W, Jenssen M. Trapping and fusion оf solitons in а nonuniform Toda lattice. Physica D. 1988;32(2):183-193. DOI: 10.1016/0167-2789(88)90050-4.
  19. Landau LD, Lifshits EM. Theoretical Physics. Vol. 6. Hydrodynamics. Moscow: Nauka; 1986. 736 p. (in Russian).
  20. Mansour MM, Puhl А, Mareschal M, Kestemont Е. Convective instability by molecular dynamics. In: Ebeling W, Ulbricht H, editors. Irreversible Processes and Selforganization. Proc. оf the 4th Int. Conf. оn Irreversible Processes and Selforganization. 1989. P. 208.
Received: 
30.10.2001
Accepted: 
02.12.2001
Available online: 
11.01.2024
Published: 
30.09.2002