# Unified paradigm for interface dynamics.

@article{Avelino2011UnifiedPF, title={Unified paradigm for interface dynamics.}, author={Pedro Avelino and Roberto Menezes and J. C. R. E. Oliveira}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2011}, volume={83 1 Pt 1}, pages={ 011602 } }

In this paper we develop a common theoretical framework for the dynamics of thin featureless interfaces. We explicitly demonstrate that the same phase field and velocity dependent one-scale models characterizing the dynamics of relativistic domain walls, in a cosmological context, can also successfully describe, in a friction dominated regime, the dynamics of nonrelativistic interfaces in a wide variety of material systems. We further show that a statistical version of the von Neumann's law…

## 9 Citations

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All the results provided by the soliton topological model are in agreement with the stochastic simulations and may be used as a tool for understanding the complex biodiversity in nature.

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We develop a parameter-free velocity-dependent one-scale model for the evolution of the characteristic length $L$ and root-mean-square velocity $\sigma_v$ of standard domain wall networks in…

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Abstract In this work we give specific examples of competition models, with six and eight species, whose three-dimensional dynamics naturally leads to the formation of string networks with junctions,…

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In this work we present a new class of real scalar field models admitting strongly interactive kink solutions. Instead of the usual exponential asymptotic behavior these topological solutions exhibit…

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- 2013

The theoretical grounds establishing the ideal composition, temperature, and time to attain the highest interconnected interface area within a liquid miscibility gap were developed. A three dimension…

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- PhysicsPhysical Review D
- 2021

We study the evolution of cosmological domain walls in models with asymmetric potentials. Our research goes beyond the standard case of spontaneous breaking of an approximate symmetry. When the…

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