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1. what do you mean by "indubitable truth"?termina wrote:Many people deem it an indubitable truth that order can't emerge from chaotic interactions; but what does physics say on the subject?
Scarlett and Ironclad wrote:Campermon,...a middle aged, middle class, Guardian reading, dad of four, knackered hippy, woolly jumper wearing wino and science teacher.
termina wrote:Many people deem it an indubitable truth that order can't emerge from chaotic interactions; but what does physics say on the subject?
Supercooling, also known as undercooling,[1] is the process of lowering the temperature of a liquid or a gas below its freezing point without it becoming a solid.
A liquid below its standard freezing point will crystallize in the presence of a seed crystal or nucleus around which a crystal structure can form creating a solid. However, lacking any such nuclei, the liquid phase can be maintained all the way down to the temperature at which crystal homogeneous nucleation occurs. Homogeneous nucleation can occur above the glass transition temperature, but if homogeneous nucleation has not occurred above that temperature an amorphous (non-crystalline) solid will form.
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laklak wrote:Just listen to Pink Floyd's "Echoes". Out of chaos, order.
termina wrote:Many people deem it an indubitable truth that order can't emerge from chaotic interactions; but what does physics say on the subject?
A double rod pendulum animation showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions.
Chaos theory is the field of study in mathematics that studies the behavior of dynamical systems that are highly sensitive to initial conditions—a response popularly referred to as the butterfly effect.[1] Small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for such dynamical systems, rendering long-term prediction impossible in general.[2] This happens even though these systems are deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random elements involved.[3] In other words, the deterministic nature of these systems does not make them predictable.[4][5] This behavior is known as deterministic chaos, or simply chaos. The theory was summarized by Edward Lorenz as:[6]
Chaos: When the present determines the future, but the approximate present does not approximately determine the future.
Chaotic behavior exists in many natural systems, such as weather and climate.[7][8] This behavior can be studied through analysis of a chaotic mathematical model, or through analytical techniques such as recurrence plots and Poincaré maps. Chaos theory has applications in several disciplines, including meteorology, sociology, physics, engineering, economics, biology, and philosophy.
termina wrote:Many people deem it an indubitable truth that order can't emerge from chaotic interactions; but what does physics say on the subject?
juju7 wrote:termina wrote:Many people deem it an indubitable truth that order can't emerge from chaotic interactions; but what does physics say on the subject?
Crystals.
DavidMcC wrote:termina wrote:Many people deem it an indubitable truth that order can't emerge from chaotic interactions; but what does physics say on the subject?
Maybe it depends a bit on what you mean, but the physical process of crystallization can be seen as order arising from chaos.
http://en.wikipedia.org/wiki/SupercoolingSupercooling, also known as undercooling,[1] is the process of lowering the temperature of a liquid or a gas below its freezing point without it becoming a solid.
A liquid below its standard freezing point will crystallize in the presence of a seed crystal or nucleus around which a crystal structure can form creating a solid. However, lacking any such nuclei, the liquid phase can be maintained all the way down to the temperature at which crystal homogeneous nucleation occurs. Homogeneous nucleation can occur above the glass transition temperature, but if homogeneous nucleation has not occurred above that temperature an amorphous (non-crystalline) solid will form.
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termina wrote:Many people deem it an indubitable truth that order can't emerge from chaotic interactions; but what does physics say on the subject?
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