A theory for the morphology of Laplacian growth from statistics of equivalent many-body Hamiltonian systems
Conference
·
OSTI ID:10163580
The evolution of two dimensional interfaces in a Laplacian field is discussed. By mapping the growing region conformally onto the unit disk, the problem is converted to the dynamics of a many-body system. This problem is shown to be Hamiltonian. An extension of the many body approach to a continuous density is discussed. The Hamiltonian structure allows introduction of surface effects as an external field. These results are used to formulate a first-principles statistical theory for the morphology of the interface using statistical mechanics for the many-body system.
- Research Organization:
- Los Alamos National Lab., NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 10163580
- Report Number(s):
- LA-UR-94-2077; CONF-950221-1; ON: DE94014473
- Resource Relation:
- Conference: 3. international working conference on fractals in the natural and applied sciences,Marseille (France),7-10 Feb 1995; Other Information: PBD: [1994]
- Country of Publication:
- United States
- Language:
- English
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