Variational principles for constrained systems: Theory and experiment
نویسندگان
چکیده
منابع مشابه
Statistical mechanical theory for steady state systems. VI. Variational principles.
Several variational principles that have been proposed for nonequilibrium systems are analyzed. These include the principle of minimum rate of entropy production due to Prigogine [Introduction to Thermodynamics of Irreversible Processes (Interscience, New York, 1967)], the principle of maximum rate of entropy production, which is common on the internet and in the natural sciences, two principle...
متن کاملVariational Principles for Compressible and Incompressible Systems
Some of the results of a previous paper 1 on the relations between adiabatic and incompressible systems are the establishing of a variational energy principle for incompressible systems and consequently of comparison theorems for stability of adiabatic and incompressible perturbations of the same equilibrium state. In this paper we extend these analyses to the most general compressible regimes ...
متن کاملVariational Principles in Renormalization Theory
The variational principles introduced by Kadanoff et al in the renormahzatmn theory are analyzed. It is shown that the values for the specific heat critical exponent a which can be found by a variational method are restricted to a < 0 or t~ = 1 (first order transition). The reason is the confluence of the singularities in the free energy and in the variational parameters. A full implementation ...
متن کاملVariational integrators for constrained dynamical systems
A variational formulation of constrained dynamics is presented in the continuous and in the discrete setting. The existing theory on variational integration of constrained problems is extended by aspects on the initialization of simulations, the discrete Legendre transform and certain postprocessing steps. Furthermore, the discrete null space method which has been introduced in the framework of...
متن کاملDiscrete variational principles and Hamilton - Jacobi theory for mechanical systems and optimal control problems . ⋆
In this paper we present a general framework that allows one to study discretiza-tion of certain dynamical systems. This generalizes earlier work on discretization of Lagrangian and Hamiltonian systems on tangent bundles and cotangent bundles respectively. In particular we show how to obtain a large class of discrete algorithms using this geometric approach. We give new geometric insight into t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Non-Linear Mechanics
سال: 1995
ISSN: 0020-7462
DOI: 10.1016/0020-7462(95)00024-0