| | ::: In other words, the behavior of the system has ''degraded'' from observable motion of the blob as a whole to less-observable relative motion of the billiard balls within the blob. The system is in a less organized or "heat-like" state. | | ::: In other words, the behavior of the system has ''degraded'' from observable motion of the blob as a whole to less-observable relative motion of the billiard balls within the blob. The system is in a less organized or "heat-like" state. |
| − | ::: However, because in this case we're talking about fairly large particles and a fairly small number of them, it is clear that the system is still "in motion," just on a smaller scale, and since we posited that the box, the springs, and the billiard balls are all ideal (and don't absorb energy), by conservation of energy the blob also continues in motion forever. | + | ::: However, because in this case we're talking about fairly large particles and a fairly small number of them, it is clear that the system is still "in motion," just on a smaller scale, and since we posited that the box, the springs, and the billiard balls are all ideal (and don't absorb energy), by conservation of energy the balls within the blob also continue in motion forever. |
| | ::: Now, we go one step further and still keep the idealized, closed system with vacuum and perfect walls, but instead of a billard ball we use a real rubber ball. What the Second Law says is that the mechanical energy of the bouncing ball, 1/2 mv<sup>2</sup> where we can measure the "velocity" of the ball as a whole, inevitably and statistically degrades into heat; the ball "loses energy" with each impact with the wall, the measurable v decreases, and eventually it comes as close to "stopping" as we like. Conservation of energy says energy hasn't really been lost; it's been transformed into heat energy. The ball is warmer than before, meaning the molecules within it are moving, and since we've defined the system to be closed, it won't cool down. '''It''' has stopped moving, but there is still '''motion.''' | | ::: Now, we go one step further and still keep the idealized, closed system with vacuum and perfect walls, but instead of a billard ball we use a real rubber ball. What the Second Law says is that the mechanical energy of the bouncing ball, 1/2 mv<sup>2</sup> where we can measure the "velocity" of the ball as a whole, inevitably and statistically degrades into heat; the ball "loses energy" with each impact with the wall, the measurable v decreases, and eventually it comes as close to "stopping" as we like. Conservation of energy says energy hasn't really been lost; it's been transformed into heat energy. The ball is warmer than before, meaning the molecules within it are moving, and since we've defined the system to be closed, it won't cool down. '''It''' has stopped moving, but there is still '''motion.''' |