First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
MATHEMATICAL ENGINEERING
Course unit
STATISTICAL MECHANICS OF COMPLEX SYSTEMS
INP5070381, A.A. 2017/18

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

Information on the course unit
Degree course Second cycle degree in
MATHEMATICAL ENGINEERING (Ord. 2017)
IN2191, Degree course structure A.Y. 2017/18, A.Y. 2017/18
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Degree course track MATHEMATICAL MODELLING FOR ENGINEERING AND SCIENCE [001PD]
Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination STATISTICAL MECHANICS OF COMPLEX SYSTEMS
Department of reference Department of Civil, Environmental and Architectural Engineering
Mandatory attendance No
Language of instruction English
Branch PADOVA
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

Lecturers
Teacher in charge AMOS MARITAN FIS/03
Other lecturers SAMIR SIMON SUWEIS FIS/03

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
INP7081057 STATISTICAL MECHANICS OF COMPLEX SYSTEMS AMOS MARITAN IN0527

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses FIS/03 Material Physics 9.0

Mode of delivery (when and how)
Period Second semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 9.0 72 153.0 No turn

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018

Syllabus
Prerequisites: Good knoledge of mathematical analysis, calculus and basic physics.
Target skills and knowledge: Objective
Introduce the students to topics in statistical mechanics of complex systems.
Outcomes
A student who has met the objectives of the course will have a practical knowledge of :
• Models of statistical mechanics of natural systems
• Complex networks.
Examination methods: Final examination based on: Written and oral examination.
Assessment criteria: Critical knowledge of the course topics.Ability to present the studied material. Discussion of the student project.
Course unit contents: 1. Equilibrium statistical mechanics, the principle of maximum
entropy, statistical ensemble, derivation of thermodynamics, paradigmatic models of statistical mechanics, mean field theory, critical phenomena and scaling.
2. Fractal geometry with applications to the natural forms of many systems (for example transportation networks, river basins).
3. Scaling theory and its use in physics, ecology, biology.
4. Non-equilibrium statistical mechanics, Brownian motion/diffusion, Markov processes, Langevin equation and the Fokker-Planck, linear response theory. Applications to biology, ecology and human mobility / traffic.
5. Graph theory with application to architecture ecological, biological and food trade networks.
Planned learning activities and teaching methods: Lecture supported by tutorial, assignment, analytical and numerical problems
Additional notes about suggested reading: Lecture notes and reference books will be given by the lecturer.
Textbooks (and optional supplementary readings)
  • J. P. Sethna, Entropy, Order Parameters and Complexity. --: Oxford, 2015. Cerca nel catalogo