Publicação
The Einstein relation for the KPZ equation
| Resumo: | We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In particular, we derive the second-order Einstein relation $\lambda = \frac{a}{2}\frac{d^2}{d\rho^2} \chi(\rho) D(\rho)$ for the transport coefficient $\lambda$ of the KPZ equation, in terms of the conserved quantity $\rho$, the diffusion coefficient $D$, the strength of the asymmetry $a$ and the static compressibility of the system $\chi$. |
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| Autores principais: | Gonçalves, Patrícia |
| Outros Autores: | Jara, Milton |
| Assunto: | KPZ equation Gradient Kawasaki dynamics Equilibrium fluctuations Einstein relation |
| Ano: | 2015 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In particular, we derive the second-order Einstein relation $\lambda = \frac{a}{2}\frac{d^2}{d\rho^2} \chi(\rho) D(\rho)$ for the transport coefficient $\lambda$ of the KPZ equation, in terms of the conserved quantity $\rho$, the diffusion coefficient $D$, the strength of the asymmetry $a$ and the static compressibility of the system $\chi$. |
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