On the breakdown of ergodicity in a sheared foam

@misc{citeulike:678551, abstract = {A central tenant of statistical mechanics is the ergodic hypothesis: for sufficiently long times, a thermodynamic closed system may be expected to pass through almost all possible microstates. If a system sufficiently explores phase space in this sense, then time averages of physical quantities are equivalent to ensemble averages. This result is incredibly powerful, and an important issue is the degree to which this concept can be expanded to driven systems, especially ones on the mesoscopic scale. Here we directly compare time and ensemble averages for velocity profiles in a bubble raft. The long time-averaged velocity profiles converge in a well-defined manner. However, long-time averages of individual members of the ensemble are found to be measurably different from the ensemble average.}, author = {Wang, Yuhong and Krishan, Kapilanjan and Dennin, Michael }, citeulike-article-id = {678551}, eprint = {cond-mat/0605633}, keywords = {foam, statmech}, month = {May}, posted-at = {2006-05-31 16:13:08}, priority = {2}, title = {On the breakdown of ergodicity in a sheared foam}, url = {http://arxiv.org/abs/cond-mat/0605633}, year = {2006} }

TY - ELEC ID - citeulike:678551 L3 - citeulike-article-id:678551 TI - On the breakdown of ergodicity in a sheared foam N2 - A central tenant of statistical mechanics is the ergodic hypothesis: for sufficiently long times, a thermodynamic closed system may be expected to pass through almost all possible microstates. If a system sufficiently explores phase space in this sense, then time averages of physical quantities are equivalent to ensemble averages. This result is incredibly powerful, and an important issue is the degree to which this concept can be expanded to driven systems, especially ones on the mesoscopic scale. Here we directly compare time and ensemble averages for velocity profiles in a bubble raft. The long time-averaged velocity profiles converge in a well-defined manner. However, long-time averages of individual members of the ensemble are found to be measurably different from the ensemble average. KW - foam KW - statmech AU - Wang, Yuhong AU - Krishan, Kapilanjan AU - Dennin, Michael PY - 2006/May/25/ UR - http://arxiv.org/abs/cond-mat/0605633 ER -