Atomistic simulations of bulk and free standing film smectics

In questa tesi viene descritto lo studio delle fasi liquido-cristalline del 4-n-ottil-4-cianobifenile eseguito tramite simulazioni al calcolatore molecular dynamics, sia per campioni bulk che per film smectici sottili. Impiegando un campo di forze "molecular mechanics" precedentemente usato con successo per studiare sistemi composti da 250 molecole della serie degli n-cianobifenili (nCB, con n pari a 4-8 atomi di carbonio nella catena alifatica), si è simulato il comportamento di un sistema bulk di 750 molecole e di un film smectico di 1500 molecole. Nel primo caso, sottoponendo il campione a un graduale raffreddamento, si è osservata la formazione spontanea di fasi ordinate quali quella nematica e quella smectica. Nel secondo caso, invece, si è studiata l'influenza dell'interfaccia con il vuoto sull'ordine posizionale e orientazionale di film sottili di diverso spessore e temperatura. Si sono confrontate le proprietà di entrambi i sistemi simulati con i dati sperimentali disponibili in letteratura, confermando la bontà del modello nel riprodurre fedelmente le caratteristiche dei campioni reali.

Parallelization of the algorithm WHAM with NVIDIA CUDA.

The aim of my thesis is to parallelize the Weighting Histogram Analysis Method (WHAM), which is a popular algorithm used to calculate the Free Energy of a molucular system in Molecular Dynamics simulations. WHAM works in post processing in cooperation with another algorithm called Umbrella Sampling. Umbrella Sampling has the purpose to add a biasing in the potential energy of the system in order to force the system to sample a specific region in the configurational space. Several N independent simulations are performed in order to sample all the region of interest. Subsequently, the WHAM algorithm is used to estimate the original system energy starting from the N atomic trajectories. The parallelization of WHAM has been performed through CUDA, a language that allows to work in GPUs of NVIDIA graphic cards, which have a parallel achitecture. The parallel implementation may sensibly speed up the WHAM execution compared to previous serial CPU imlementations. However, the WHAM CPU code presents some temporal criticalities to very high numbers of interactions. The algorithm has been written in C++ and executed in UNIX systems provided with NVIDIA graphic cards. The results were satisfying obtaining an increase of performances when the model was executed on graphics cards with compute capability greater. Nonetheless, the GPUs used to test the algorithm is quite old and not designated for scientific calculations. It is likely that a further performance increase will be obtained if the algorithm would be executed in clusters of GPU at high level of computational efficiency. The thesis is organized in the following way: I will first describe the mathematical formulation of Umbrella Sampling and WHAM algorithm with their apllications in the study of ionic channels and in Molecular Docking (Chapter 1); then, I will present the CUDA architectures used to implement the model (Chapter 2); and finally, the results obtained on model systems will be presented (Chapter 3).