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Scaling and Localization in Multipole-Conserving Diffusion.
Han, Jung Hoon; Lake, Ethan; Ro, Sunghan.
Afiliação
  • Han JH; Department of Physics, Sungkyunkwan University, Suwon 16419, South Korea.
  • Lake E; Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
  • Ro S; Department of Physics, University of California Berkeley, Berkeley, California 94720, USA.
Phys Rev Lett ; 132(13): 137102, 2024 Mar 29.
Article em En | MEDLINE | ID: mdl-38613292
ABSTRACT
We study diffusion in systems of classical particles whose dynamics conserves the total center of mass. This conservation law leads to several interesting consequences. In finite systems, it allows for equilibrium distributions that are exponentially localized near system boundaries. It also yields an unusual approach to equilibrium, which in d dimensions exhibits scaling with dynamical exponent z=4+d. Similar phenomena occur for dynamics that conserves higher moments of the density, which we systematically classify using a family of nonlinear diffusion equations. In the quantum setting, analogous fermionic systems are shown to form real-space Fermi surfaces, while bosonic versions display a real-space analog of Bose-Einstein condensation.

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Phys Rev Lett / Phys. rev. lett / Physical review letters Ano de publicação: 2024 Tipo de documento: Article País de afiliação: Coréia do Sul País de publicação: Estados Unidos

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Phys Rev Lett / Phys. rev. lett / Physical review letters Ano de publicação: 2024 Tipo de documento: Article País de afiliação: Coréia do Sul País de publicação: Estados Unidos