preprint - vortex group, smc/nims History and metastability effects in the intermediate state of mesoscopic type I superconducting Indium Ajay D. Thakur 1 , $^{⋆}$, Ujjal K. Gautam $^{2}$, Goutam Sheet$^{3}$, Tomonobu Nakayama $^{2}$, Yoshio Bando$^{2}$, Dmitri Goldberg$^{2}$, Shuuichi Ooi$^{1}$, Kazuto Hirata1 1 National Institute for Materials Science, 1-2-1 Sengen, Tsukuba, Ibaraki 305-0047, Japan 2 National Institute for Materials Science, 1-1 Namiki, Tsukuba, Ibaraki 305-0047, Japan 3 Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA (Dated: April 2, 2019) We report detailed magnetic measurements on history and metastability effects in the intermedi- ate state of mesoscopic cylinders of type I superconducting Indium. This includes the observation of topological hysteresis with the signature occurrence of different critical fields during flux entry and flux exit. We show the existence of a plethora of metastable configuration and recipes to access them. We also demonstrate the manifestation of superheating and supercooling of superconducting and normal states, respectively across the superconductivity transition. PACS numbers: 74.78Na, 74.25.Bt, 75.75.Cd, 75.70.Kw, 74.25Ha, 75.75.-c 1 arXiv:1001.3903v1 [cond-mat.supr-con] 22 Jan 2010 Abstract