
Course unit
PHYSICS OF COMPLEX SYSTEMS
SCP7081763, A.A. 2018/19
Information concerning the students who enrolled in A.Y. 2017/18
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Educational activities in elective or integrative disciplines 
FIS/03 
Material Physics 
6.0 
Course unit organization
Period 
First semester 
Year 
2nd Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Lecture 
6.0 
48 
102.0 
No turn 
Start of activities 
01/10/2018 
End of activities 
18/01/2019 
Examination board
Examination board not defined
Examination methods:

Oral examination covering three or four of the topics chosen by the teacher among all those treated in the course. To each topic ample time is devoted to the exposition and to the discussion of possible connections with other parts of the program. This allows to ascertain how the student masters the subject. 
Course unit contents:

Introduction to the physics of complexity and of emergent
phenomena (general points of view of P.W. Anderson,
N. Goldenfeld, L.P. Kadanoff, ...)
Selected topics in the statistics of polymers, percolation,
fractals, and disorder. Continuous symmetries and Kosterliz Thouless transition.
Brownian motion. Mathematics of Brownian motion and
stochastic differential equations. Stochastic processes.
Statistical mechanics out of equilibrium.
Microscopic reversibility and macroscopic irreversibility.
Detailed balance in equilibrium. Onsager reciprocity relations
with examples (Seebeck and Peltier effects, etc.).
Fluctuationresponse theorem, dynamic susceptivity and
fluctuationdissipation theorem. KramersKronig relations.
Microscopic basis of Brownian motion.
Thermodynamics out of equilibrium at the micro and
nanoscales. Markovian description of nonequilibrium dynamics.
Fluctuation theorems and work identities. Generalized detailed
balance. Entropy production. Asymmetric simple exclusion and
related processes, some basic results. Theory of large deviations.
Molecular motors. Applications of GallavottiCohen theorem. 
Textbooks (and optional supplementary readings) 


