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physics course for non-physicist complex systems researchers

Physics in the science of complex systems – draft 0

The lectures are organized in lessons within thematic courses.

General introduction

Thermal and statistical physics

The main chapters are copied from the courses of Harvey Gould and Jan Tobochnik , Clark University, Worcester, MA, USA. If not, the source is precised intobrackets.

(External Link)

1.1 from microscopic to macroscopic behavior: statistical physics

Lesson 1

  • Introduction
  • Some qualitative observations
  • Doing work
  • Quality of energy

Lesson 2

  • Some simple simulations
  • Work, heating, and the first law of thermodynamics
  • The fundamental need for statistical approach
  • Time and ensemble averages

Lesson 3

  • Models of matter

The ideal gas

Interparticle potentials

Lattice models

  • Importance of simulations
  • Summary

Additional problems

Suggestions for further reading

1.2 thermodynamic concepts

Lesson 4

  • Introduction
  • The system
  • Thermodynamic equilibrium
  • Temperature
  • Pressure equation of state

Lesson 5

  • Some thermodynamic processes
  • Work
  • The first law of thermodynamics
  • Energy equation of state

Lesson 6

  • Heat capacity and enthalpy
  • Adiabatic processes
  • The second law of thermodynamics
  • The thermodynamic temperature

Lesson 7

  • The second law and heat engine
  • Entropy changes
  • Equivalence of thermodynamic and ideal gas scale temperatures
  • The thermodynamic pressure

Lesson 8

  • The fundamental thermodynamic relation
  • The entropy of an ideal gas
  • The third law of thermodynamics
  • Free energies

Additional problems

Suggestions for further reading

1.3 statistical mechanics

Lesson 9

  • Introduction
  • A simple example of a thermal interaction
  • Counting microstates

Non-interacting spins

One-dimensional Ising model

A particle in a one-dimensional box

One-dimensional harmonic oscillator

A particle in a two-dimensional box

Two non-interacting identical particles and the semi-classical limit

Lesson 10

  • The number of states of N non-interacting particles: semi- classical limit
  • The microcanonical ensemble (fixed E, V, and N)
  • Systems in contact with a heat bath: the canonical ensemble (fixed T, V, and N)
  • Connection between statistical mechanics and thermodynamics

Lesson 11

  • Simple applications of the canonical ensemble
  • Example of a simple thermometer
  • Simulations of the microcanonical ensemble
  • Simulations of the canonical ensemble

Lesson 12

  • Grand canonical ensemble (fixed T, V, and )
  • Entropy and disorder
  • The volume of a hypersphere
  • Fluctuations in the canonical ensemble
  • Molecular dynamics

(Course from North Carolina State University, Raleigh, NC, USA:

(External Link) )

Additional problems

Suggestions for further reading

1.4 thermodynamic relations and processes

Lesson 13

1.4.1 Introduction

1.4.2 Maxwell relations

1.4.3 Applications of the Maxwell relations

Internal energy of an ideal gas

Relation between the specific heats

Lesson 14

1.4.4 Applications to irreversible processes

The Joule or free expansion process

Joule-Thomson process

  • Equilibrium between phases

Equilibrium conditions

Clausius-Clapeyron equation

Simple phase diagrams

Pressure dependence of the melting point

Pressure dependence of the boiling point

The vapor pressure curve

Lesson 15

  • Lattice gas and Ising model

(Introduction to lattice gas from Victor Batista, Chemistry department, Yale University, New Haven, NE, USA:

(External Link) )

(Applet of ising model, from A. Peter young, Physics department, University of California, San Diego, CA, USA:

http://bartok.ucsc.edu/peter/java/ising/keep/ ising.html)

  • Phase transitions

(Generalities from Wikipedia:

http://en.wikipedia.org/wiki/ Phase_transition)

  • A geometric phase transition: percolation

(Lectures notes from the MIT NSE Virtual Reading Room, Massachusetts Institute of Technology, Cambridge, MA, USA:

(External Link) )

Lesson 16

  • Brownian motion

(Introduction from the physics department of the University of Queensland, Brisbane, Australia:

http://www.physics.uq.edu.au/people/mcintyre/ php/laboratories/download_file.php?eid=38)

  • Chaos and self-organization

(Introduction to chaos theory from the center of complex quantum systems, University of Texas, Austin, TX, USA:

(External Link)

Generalities from Wikipedia:

http://en.wikipedia.org/wiki/Self- organization)

Lesson 17

  • Fractals

(Introduction from Michael Frame, Benoit Mandelbrot, and Nial Neger, Yale University, New Haven, NE, USA:


  • Sand Piles

(Introduction from Benoît Masson, Laboratoire Informatique Signaux et systèmes of Sofia Antipolis, France, EU:

(External Link) )

  • Spin glasses

(Short introduction&references from Daniel Stariolo, Instituto de Fisica, Universidade Federal do Rio Grande doSul, Porto Alegre, Brazil:

(External Link) )

Additional problems

Suggestions for further reading

Quantum physics made relatively simple

Hans Bethe, Cornell University, Ithaca, NY, USA

Presentation of quantum theory and mechanics through their histories.

(External Link)

3 courses of about 45-50 mn

Video and audio versions

Slides are presented in parallel to the video documents

2.1 “old quantum theory”: 1900 – 1915

2.2 quantum mechanics: 1924 – 1928

2.3 interpretation works on the wave function, the heisenberg uncertainty principle, and the pauli exclusion principle

Suggestions for further reading

Questions & Answers

how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
can nanotechnology change the direction of the face of the world
Prasenjit Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Class. OpenStax CNX. Dec 24, 2010 Download for free at http://cnx.org/content/col11261/1.3
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