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  1. Active fluctuations of tethered membranes with no self-avoidance can be encapsulated by a simple rescaling of the background temperature. The self-avoiding membrane preserves its extended phase even in the presence of very large active fluctuations.

     
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    Free, publicly-accessible full text available July 19, 2024
  2. The shape fluctuations of two dimensional flexible vesicles containing active Brownian particles can squeeze a vesicle through narrow openings. They enable vesicle rectification when placed within asymmetric confining channels (ratchetaxis).

     
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  3. Can active forces be exploited to drive the consistent collapse of an active polymer into a folded structure? In this paper, we introduce and perform numerical simulations of a simple model of active colloidal folders and show that a judicious inclusion of active forces into a stiff colloidal chain can generate designable and reconfigurable two-dimensional folded structures. The key feature is to organize the forces perpendicular to the chain backbone according to specific patterns (sequences). We characterize the physical properties of this model and perform, using a number of numerical techniques, an in-depth statistical analysis of structure and dynamics of the emerging conformations. We discovered a number of interesting features, including the existence of a direct correspondence between the sequence of the active forces and the structure of folded conformations, and we discover the existence of an ensemble of highly mobile compact structures capable of moving from conformation to conformation. Finally, akin to protein design problems, we discuss a method that is capable of designing specific target folds by sampling over sequences of active forces.

     
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