Maximum entropy change and least action principle for nonequilibrium systems Export

@misc{citeulike:832757, abstract = {A path information is defined in connection with different possible paths of irregular dynamic systems moving in its phase space between two points. On the basis of the assumption that the paths are physically differentiated by their actions, we show that the maximum path information leads to a path probability distribution in exponentials of action. This means that the most probable paths are just the paths of least action. This distribution naturally leads to important laws of normal diffusion. A conclusion of this work is that, for probabilistic mechanics or irregular dynamics, the principle of maximization of path information is equivalent to the least action principle for regular dynamics. <br />We also show that an average path information between the initial phase volume and the final phase volume can be related to the entropy change defined with natural invariant measure of dynamic system. Hence the principles of least action and maximum path information suggest the maximum entropy change. This result is used for some chaotic systems evolving in fractal phase space in order to derive their invariant measures.}, archivePrefix = {arXiv}, author = {Wang, Qiuping A.}, citeulike-article-id = {832757}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0312329}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0312329}, day = {8}, eprint = {cond-mat/0312329}, keywords = {information, leas\_action, stochastic\_processes}, month = {Sep}, posted-at = {2008-03-05 17:28:41}, priority = {3}, title = {Maximum entropy change and least action principle for nonequilibrium systems}, url = {http://arxiv.org/abs/cond-mat/0312329}, year = {2004} }

TY - ELEC ID - citeulike:832757 L3 - citeulike-article-id:832757 N2 - A path information is defined in connection with different possible paths of irregular dynamic systems moving in its phase space between two points. On the basis of the assumption that the paths are physically differentiated by their actions, we show that the maximum path information leads to a path probability distribution in exponentials of action. This means that the most probable paths are just the paths of least action. This distribution naturally leads to important laws of normal diffusion. A conclusion of this work is that, for probabilistic mechanics or irregular dynamics, the principle of maximization of path information is equivalent to the least action principle for regular dynamics. <br />We also show that an average path information between the initial phase volume and the final phase volume can be related to the entropy change defined with natural invariant measure of dynamic system. Hence the principles of least action and maximum path information suggest the maximum entropy change. This result is used for some chaotic systems evolving in fractal phase space in order to derive their invariant measures. TI - Maximum entropy change and least action principle for nonequilibrium systems KW - information KW - leas_action KW - stochastic_processes AU - Wang, Qiuping PY - 2004/Sep/08/ UR - http://arxiv.org/abs/cond-mat/0312329 ER -