117 K
7 pp.
 
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TitleThe Behavior of Matter under Nonequilibrium Conditions: Fundamental Aspects and Applications: Progress Report for Period August 15, 1989 - April 14, 1990
Author(s)Prigogine, I.
Publication DateOctober 1989
Report NumberDOE/ER/13897-10
Unique IdentifierACC0302
Other NumbersLegacy ID: DE90002522; OSTI ID: 5397572
Research OrgUniversity of Texas, Austin, TX (USA). Center for Studies in Statistical Mechanics
Contract NoFG05-88ER13897
Sponsoring OrgU.S. Department of Energy, Office of Energy Research (DOE/ER)
Subject71 Classical And Quantum Mechanics, General Physics; Matter; Statistical Mechanics; Chemical Reactions; Classical Mechanics; Computerized Simulation; Excited States; Progress Report; Document Types; Energy Levels; Mechanics; Simulation
Related Web PagesIlya Prigogine, Chaos, and Dissipative Structures
AbstractAs in the previous period, our work has been concerned with the study of the properties of nonequilibrium systems and especially with the mechanism of self-organization. As is well-known, the study of self-organization began with the investigation of hydrodynamical or chemical instabilities studied from the point of view of macroscopic physics. The main outcome is that nonequilibrium generates spatial correlations of macroscopic physics. The main outcome is that nonequilibrium generated spatial correlations of macroscopic range whose characteristics length is an intrinsic property and whose amplitude is determined by nonequilibrium constraints. A survey of the macroscopic approach to nonequilibrium states is given in the paper. "Nonequilibrium States and Long Range Correlations in Chemical Dynamics", by G. Nicolis at al. However, over the last few years important progress has been made in the simulation of nonequilibrium situations using mainly molecular dynamics. It appears now that processes corresponding to self-organization as well as the appearance of long-range correlations can be obtained in this way starting from a program involving Newtonian dynamics (generally the laws of interaction correspond to hard spheres or hard disks). Examples of such types of studies leading to Benard instabilities, to chemical clocks, or to spatial structure formation are given in this report. As a result, we may now view self-organization as a direct expression of tan appropriate microscopic dynamics. This is the reason why we have devoted much work to the study of large Poincare systems (LPS) involving continuous sets of resonances. These systems have been shown to lead, according to the constraints, either to equilibrium situations or to nonequilibrium states involving long range correlations. We discuss LPS in the frame of classical mechanics.
117 K
7 pp.
 
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