#### Title

Nonequilibrium dynamics of driven elastic manifolds in random media

#### Date of Award

1996

#### Degree Type

Dissertation

#### Degree Name

Doctor of Philosophy (PhD)

#### Department

Physics

#### Advisor(s)

M. Cristina Marchetti

#### Keywords

overdamped, depinning transition, condensation

#### Subject Categories

Condensed Matter Physics

#### Abstract

Different aspects of the overdamped dynamics of elastic manifolds driven through random media have been studied. It is known that at zero temperature such systems typically exhibit a continuous depinning transition at a threshold force $F\sb{T}$ from a pinned state with zero average velocity, $< v >$ = 0, for F $<$ $F\sb{T}$, to a sliding state with nonzero average velocity, $< \nu \not= 0 >$, for $F > F\sb{T}$. Using the example of an elastic interface driven in (l + l)-dimensions, we study (1) the effect of finite temperature on the depinning transition, and (2) the T = 0 dynamics at $F \ll F\sb{T}$ where the interface moves from one pinned state to another in response to a small increment in the driving force. We find in (1) that the depinning transition is smeared out by thermal fluctuations, and in (2) that the T = 0 dynamics at $F < F\sb{T}$ is composed of a sequence of discharging events, or avalanches, whose distribution in size has a power-law decay. We also study the finite temperature dynamics at small driving forces, $F \ll F\sb{T}$, and find a nonlinear glassy response for the driven medium, $< v > \sim \exp(-{\rm const} \times F\sp{-\mu}$). Finally, motivated by recent theoretical and experimental work on driven flux-line lattices in type-II superconductors which suggest that the disorder becomes less relevant at large driving forces, we study the $T = 0$ driven dynamics of a sliding charge-density wave (CDW) at $F \ll F\sb{T}$. The CDW model is chosen here because, while it captures all the essential features of the dynamics of driven elastic manifolds, it is simpler than flux-line lattices in that the dynamical field of interest is a scalar rather than a vector. The sliding CDW exhibits a first order dynamical transition at a critical driving force $F\sb{c}$ between "rough" (disorder dominated) $(F < F\sb{c})$ and "flat" $(F > F\sb{c})$ sliding phases, where disorder is washed out by the external drive.

#### Access

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#### Recommended Citation

Chen, Lee-Wen, "Nonequilibrium dynamics of driven elastic manifolds in random media" (1996). *Physics - Dissertations*. 95.

https://surface.syr.edu/phy_etd/95

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