Diffusion with center of mass conservation

ORAL

Abstract

In normal diffusion, particles move randomly while conserving their total number. What would happen when additional constraints, such as the conservation of the center of mass, are applied? In this talk, I will show that the dynamic exponent of diffusion with center of mass conservation in d-dimension changes to z = d+4, and that the equilibrium distribution is exponentially localized in the presence of a hard wall.

*J. H. H. was supported by the National Research Foundation of Korea grant (No. 2023R1A2C1002644). He also acknowledges financial support from EPIQS Moore theory centers at MIT and Harvard. E. L. was supported by Miller research fellowship.

Publication: Jung Hoon Han, Ethan Lake, and Sunghan Ro. Scaling and Localization in Multipole-Conserving Diffusion. Phys. Rev. Lett. 132, 137102 (2024).

Presenters

  • Sunghan Ro

    • Harvard University

Authors

  • Sunghan Ro

    • Harvard University
  • Ethan A Lake

    • University of California, Berkeley
  • Junghun Han

    • Sungkyunkwan University