Interface pinning and slow ordering kinetics on infinitely ramified fractal structures

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 2, 1998, Pages 1290-1301

  Marconi, Umberto Marini Bettolo ^a,b,c  

^a UNIVERSITY OF CAMERINO   (Italy)

^b INFM   (Italy)

^c INFN SEZIONE DI PERUGIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4244128172     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.1290     Document Type: Article

References (27)

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25. To see that a droplet is a saddle point consider the fact that it is stable with respect to bulklike fluctuations, i.e., with respect to uniform changes of the field φx, but unstable with respect to curvature fluctuations.
26. A simple way of constructing “saddles” in phase space, separating the two uniform minima, has been proposed by J. Kurchan and L. Laloux, cond-mat/9510079. They divide the system into two pieces of opposite phases, separated by two straight interfaces at a distance h. The invariance of the system under translations and rotations determines the presence of soft modes, i.e., of excitations of the interfaces of vanishing energy cost. Thus the spectrum of the Hessian must contain a zero eigenvalue associated with the existence of capillary wave massless modes, i.e., fluctuations of the interface about the straight configuration. This kind of fluctuation is marginally stable. One can see that the unstable direction corresponds to moving apart the two walls, a perturbation that is associated with the presence of a negative eigenvalue in the spectrum of the Hessian (however, exponentially small in the wall separation h).
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