PERIOD: MARCH Il corso sarà tenuto dal prof. Pep Espanol - Universidad Nacional de Educacion a Distancia Summary: In this course we present in detail the fundamentals of the theory of coarse-graining, explore different applications that range from thermodynamics of small systems to fluctuating hydrodynamics and complex fluids (colloidal suspensions and other viscoelastic fluids), and describe particle-based simulation methodologies like DPD and SDPD for the simulation of complex fluids.

Mon May 6th 10:00 – 11:00 Introduction to the course 11:00 – 12:00 The microscopic level 14:30 – 15:30 Flow in phase space: Ergodicity, Irreversibility, Equilibrium 15:30 – 16:30 Probabilities in Phase space. Levels of description. The Maximum Entropy Principle Tue May 7th 10:00 – 11:00 Green's view of coarse-graining 11:00 – 12:00 The Zwanzig projection operator technique 14:30 – 15:30 The GENERIC framework 15:30 – 16:30 Near equilibrium and Mori theory of projection operators Wed May 8th 09:00 – 10:00 External Forcing: summary and overview of applications 10:00 – 11:00 Thermodynamics of small systems 14:30 – 15:30 Colloids, Smoluchowski and Langevin descriptions 15:30 – 16:30 Blob Models of complex molecules Thu May 9th 09:00 – 10:00 Discrete diffusion 10:00 – 11:00 Discrete fluctuating hydrodynamics 11:00 – 12:00 Boundary conditions 13:00 – 14:00 Nanoparticles embedded in a fluid Fri May 10th 10:00 – 11:00 Lagrangian fluid particles: the continuum limit and the Lagrangian description 11:00 – 12:00 The DPD model and the SDPD model 14:30 – 15:30 The SDPD model for viscoelastic fluids 15:30 – 16:30 Summary of the course

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Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.