PECULIARITIES OF THE TRANSITION TO THERMODYNAMIC DESCRIPTION FROM FROM THE DYNAMIC DESCRIPTION OF THE STRUCTURED PARTICLES
Abstract
Abstract. Are studied features of transition from a discrete description of dynamical systems to the thermodynamic description. As a dynamic parameter of system is used the internal energy of system. Examined its variation during the passage of potentially interacting systems of material points thru the potential barrier in depends on their number, width and height of the barrier. Obtained two critical numbers. The first number determines the required amount of Журнал проблем эволюции открытых систем Вып.16 Т.1 2014 12 material points for the transition to irreversible dynamics, and the second number defines passage to the thermodynamic description. The agreement between the results of numerical calculations and the theoretical foundations of system dynamics and concept of entropy is discussed. Keywords:nonlinearity, classical mechanics, energy, thermodynamics, Lagrangian formalism, nonholonomic constraints, irreversibility.