Depinning of stiff directed lines in random media.
Phys Rev E Stat Nonlin Soft Matter Phys
; 90(1): 012101, 2014 Jul.
Article
en En
| MEDLINE
| ID: mdl-25122245
Driven elastic manifolds in random media exhibit a depinning transition to a state with nonvanishing velocity at a critical driving force. We study the depinning of stiff directed lines, which are governed by a bending rigidity rather than line tension. Their equation of motion is the (quenched) Herring-Mullins equation, which also describes surface growth governed by surface diffusion. Stiff directed lines are particularly interesting as there is a localization transition in the static problem at a finite temperature and the commonly exploited time ordering of states by means of Middleton's theorems [Phys. Rev. Lett. 68, 670 (1992)] is not applicable. We employ analytical arguments and numerical simulations to determine the critical exponents and compare our findings with previous works and functional renormalization group results, which we extend to the different line elasticity. We see evidence for two distinct correlation length exponents.
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Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Elasticidad
/
Modelos Teóricos
/
Movimiento (Física)
Tipo de estudio:
Clinical_trials
/
Prognostic_studies
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Asunto de la revista:
BIOFISICA
/
FISIOLOGIA
Año:
2014
Tipo del documento:
Article
País de afiliación:
Alemania
Pais de publicación:
Estados Unidos