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Combinatorial explosion renders any attempt of explaining emergent macroscopic phenomena in terms of microscopic low-level phenomena useless and futile.
There is a sense in which contemporary physics, with its account of the properties of atoms and molecules in terms of their electron structure and the explanation of many macroscopic phenomena in terms of the atomic and molecular structures underlying them, comes close to the ideal of Democritus.
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A general rule of thumb in perusing the diverse recent literature on emergence is that emergence encompasses whatever striking macroscopic phenomena the theorist in question is interested in.
It might appear that the success of the kinetic theory marked a successful instantiation of the kind of atomism aspired to by the mechanical or Newtonian atomists, since macroscopic phenomena are explained in terms of atoms with just a few specified mechanical properties.
A ferroelectric crystal tends to form domains. Internal and external fields can cause domain walls to move, resulting in macroscopic phenomena such as aging, creep and fatigue.
Quite apart from the fact that five orders of magnitude in both the spatial and temporal scales suggest that the macroscopic phenomena require their own level of description in some form of effective medium theory.
Vibrations in the sounding objects are macroscopic phenomena, of a size which is fairly comparable to the size of the sounding object itself.
In our model, synaptic plasticity is the (neurobiologically motivated) mechanism that leads to the emergence of the macroscopic phenomena of interest, by means of microscopic interactions taking place in a randomly connected network of identical nodes.
The concept of complex systems was developed in the physical sciences to explain the emergence of macroscopic phenomena from the interactions of large numbers of microscopic components.
Indeed, the story goes, in the late nineteenth century any attempt at all to search for a hypothetical, microphysical underpinning of macroscopic phenomena was regarded as suspicious.
Conventionally, MHD simulations have been used for studies of macroscopic phenomena.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com