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Award ID contains: 1713696

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  1. Fahie, Monifa A.V. (Ed.)
    This chapter presents a mathematical formulation for the translocation process of a vesicle through a narrow pore. The effect of the deformation of the vesicle while passing through the pore causes a penalty in the free energy, while the existence of an external driving force assists. We formulate the free energy landscape of the vesicle in terms of bending and stretching energy and use Fokker-Plank formalism to calculate the first-passage translocation time. We also address various modifications that can be done to this approach to make it work for different systems. 
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  2. Analytical and semianalytical expressions for the surface tension of dielectric–air interfaces are presented after considering local and nonlocal dielectric effects near interfaces. It is shown that the nonlocal effects of dielectrics are significant for highly polar dielectric fluids such as water. Far from the interface, nonlocal dielectric effects are shown to cause not only the oscillatory potential of the mean force but also a reversal of sign at intermediate distances. 
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  3. We present our personal appraisal of a few recent trends in polymer physics and theory. The four main themes discussed are crystallization and melting of polymers, memory in polymer systems, topologically frustrated polymer dynamics, and phase behavior of polyelectrolyte solutions. 
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