Processes which propagate faster than exponentially
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From: I.N. Galidakis on 15 Jan 2010 11:14 Apologies for the crosspost, but this is related to many areas. Is anyone aware of any physical/chemical/nuclear processes which propagate at rates faster than exponential? From my search so far, it appears that the fastest processes available, like cancer and viruses in biology, and nuclear explosions and supernova explosions in physics all propagate at most exponentially. Many thanks, -- Ioannis
From: jbriggs444 on 15 Jan 2010 11:54 On Jan 15, 11:14 am, "I.N. Galidakis" <morph...(a)olympus.mons> wrote: > Apologies for the crosspost, but this is related to many areas. Is anyone aware > of any physical/chemical/nuclear processes which propagate at rates faster than > exponential? > > From my search so far, it appears that the fastest processes available, like > cancer and viruses in biology, and nuclear explosions and supernova explosions > in physics all propagate at most exponentially. Some processes are too fast to even have a decent way to categorize the rate. Take, for instance, the chemical core of a nuclear device. The pieces are set off simultaneously so that the reaction need not progress from a single point of ignition. The limit on the reaction rate is the number of detonators used and the precision with which they can be set off. Rather than being a log, a cube root, a square root or linear in the reactant size, the reaction time can be held constant. That's without considering Thiotimoline, a substance which, when purified by repeated resublimation has a solubility reaction rate that goes endochronic.
From: Sanny on 15 Jan 2010 11:58 On Jan 15, 9:14 pm, "I.N. Galidakis" <morph...(a)olympus.mons> wrote: > Apologies for the crosspost, but this is related to many areas. Is anyone aware > of any physical/chemical/nuclear processes which propagate at rates faster than > exponential? > > From my search so far, it appears that the fastest processes available, like > cancer and viruses in biology, and nuclear explosions and supernova explosions > in physics all propagate at most exponentially. Throw an Object in a Black hole. It will be faster than a Exponential. Bye Sanny Know the strangest things from computers mouth. http://www.GetClub.com You can just chat with the computer on physics.
From: Robert on 15 Jan 2010 12:38 On 15 Jan, 16:14, "I.N. Galidakis" <morph...(a)olympus.mons> wrote: > Apologies for the crosspost, but this is related to many areas. Is anyone aware > of any physical/chemical/nuclear processes which propagate at rates faster than > exponential? > > From my search so far, it appears that the fastest processes available, like > cancer and viruses in biology, and nuclear explosions and supernova explosions > in physics all propagate at most exponentially. > > Many thanks, > -- > Ioannis i think some pulse lasers' amplitudes do. any process that has a combinatorial component might well do. genetics?
From: Androcles on 15 Jan 2010 13:08
"I.N. Galidakis" <morpheus(a)olympus.mons> wrote in message news:1263572066.510809(a)athprx04... > Apologies for the crosspost, but this is related to many areas. Is anyone > aware > of any physical/chemical/nuclear processes which propagate at rates faster > than > exponential? > > From my search so far, it appears that the fastest processes available, > like > cancer and viruses in biology, and nuclear explosions and supernova > explosions > in physics all propagate at most exponentially. > > Many thanks, > -- > Ioannis ================================================= If you mean faster than y = exp(-t) then yes, y = A.exp(-t) is faster for A > 1. Or to put it another way, the isotope carbon 14 has a shorter half life ( 5,730 � 40 years) than the isotope uranium 238, (4.46 billion years). The human population doubles every 33 years but it once doubled every 100 years. This is due to more people not suffering infant mortality from disease (countered by modern medicine) and living longer, yet still reproducing at the same rate (not countered in the third world). Obviously if you have more births than deaths then you have population growth that is exponential . If you have less births than deaths then you have population decline. By upsetting the balance with medicine you change from exponential growth to super-exponential growth. The slope of the curve gets steeper for exponential growth (fixed birth and death rates) and steeper yet for super-exponential growth. In computer models of locust swarms the exponential growth of the population always results in them eating all there is and then starving and dying. Human beings were headed that way naturally but have hastened their own demise by their use of medicine to prolong their lives. The land we live on is finite. |