First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
Course unit
SCP7081763, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
SC2382, Degree course structure A.Y. 2017/18, A.Y. 2018/19
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Degree course track PHYSICS OF MATTER [002PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination PHYSICS OF COMPLEX SYSTEMS
Website of the academic structure
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction English
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge ATTILIO STELLA

ECTS: details
Type Scientific-Disciplinary 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 of
Individual study
Lecture 6.0 48 102.0 No turn

Start of activities 01/10/2018
End of activities 18/01/2019
Show course schedule 2019/20 Reg.2017 course timetable

Examination board
Board From To Members of the board
1 PHYSICS OF COMPLEX SYSTEMS 01/10/2018 30/11/2019 STELLA ATTILIO (Presidente)
ORLANDINI ENZO (Membro Effettivo)

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.).
Fluctuation-response theorem, dynamic susceptivity and
fluctuation-dissipation theorem. Kramers-Kronig relations.
Microscopic basis of Brownian motion.

Thermodynamics out of equilibrium at the micro- and
nano-scales. Markovian description of non-equilibrium 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 Gallavotti-Cohen theorem.
Textbooks (and optional supplementary readings)