Biomedical subjects

Nigel Goldenfeld

Publications and source records attributed to Nigel Goldenfeld.

3 recordsLinked to original sources

PubMed2004

Computational irreducibility and the predictability of complex physical systems.

Using elementary cellular automata (CA) as an example, we show how to coarse grain CA in all classes of Wolfram's classification. We find that computationally irreducible physical processes can be predictable and even computationally reducible at a coarse-grained level of description. The resulting coarse-grained CA which we construct emulate the large-scale behavior of the original systems without accounting for small-scale details. At least one of the CA that can be coarse grained is irreducible and known to be a universal Turing machine.

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PubMed2003

Computationally efficient phase-field models with interface kinetics.

We present a phase-field model of solidification which allows efficient computations in the regime when interface kinetic effects dominate over capillary effects. The asymptotic analysis required to relate the parameters in the phase field with those of the original sharp-interface model is straightforward, and the resultant phase-field model can be used for a wide range of material parameters.

Journal Article↗

PubMed2002

Linearity and scaling of a statistical model for the species abundance distribution.

We derive a linear recursion relation for the species abundance distribution in a statistical model of ecology and demonstrate the existence of a scaling solution.

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