Stochastic growth phenomena on curved interfaces are studied by means of stochastic partial differential equations. These are derived as counterparts of linear planar equations on a curved geometry after a reparametrization invariance principle has been applied. We examine differences and similarities with the classical planar equations. Some characteristic features are the loss of correlation through time and a particular behaviour of the average fluctuations. Dependence on the metric is also explored. The diffusive model that propagates correlations ballistically in the planar situation is particularly interesting, as this propagation becomes nonuniversal in the new regime.
Evaporation and Condensation of HI clouds in thermally bistable interstellar media: semi-analytic description of isobaric dynamics of curved interfaces
Observing quantum many-body dynamics in emergent curved spacetime using programmable quantum processors
University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）；Leibniz Universität Hannover（汉诺威莱布尼茨大学）；Princeton University（普林斯顿大学）；École Normale Supérieure (ENS), Université PSL（巴黎高等师范学院，巴黎文理研究大学）；IBM Quantum, IBM T.J. Watson Research Center（IBM量子，IBM托马斯·J·沃森研究中心）；MIT-IBM Watson AI Lab（麻省理工学院-IBM沃森人工智能实验室）；ETH Zurich（苏黎世联邦理工学院）
