<< Chapter < Page
  Class   Page 1 / 1
Chapter >> Page >
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:

http://classes.yale.edu/Fractals/)

  • 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

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
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
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
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
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
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
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!
QuizOver.com Reply

Get the best Algebra and trigonometry course in your pocket!





Source:  OpenStax, Class. OpenStax CNX. Dec 24, 2010 Download for free at http://cnx.org/content/col11261/1.3
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Class' conversation and receive update notifications?

Ask