## You are here

# statistical mechanics

## A Nobel Prize worthy paper, unifying Mechanics and Thermodynamics with a mathematical basis

Thu, 2016-08-25 16:50 - cemalbasaranI highly recommend this paper to any mechanician who is familiar with the scientific efforst in the last 150 years to unify mechanics and thermodynamics. Sosnoskiy and Sherbakov and several others from the Russian Academy of Sciences listed in the Acknowledgemnsts have achieved it. Congratulations.

Sosnovskiy, L. Sherbakov, S.,”Mechanothermodynamic Entropy and Analysis of Damage State of Complex Systems”, Entropy, 2016, 18, 268.

## A Nobel prize worthy paper, unifying Mechanics and Thermodynamics with a Mathematical Basis

Thu, 2016-08-25 16:49 - cemalbasaranI highly recommend this paper to any mechanician who is familiar with the scientific efforst in the last 150 years to unify mechanics and thermodynamics. Sosnoskiy and Sherbakov and several others from the Russian Academy of Sciences listed in the Acknowledgemnsts have achieved it. Congratulations.

Sosnovskiy, L. Sherbakov, S.,”Mechanothermodynamic Entropy and Analysis of Damage State of Complex Systems”, Entropy, 2016, 18, 268.

## Peridynamic theory of solids from the perspective of classical statistical mechanics

Tue, 2015-06-02 14:20 - rrahmanPeridynamic theory of solids from the perspective of classical statistical mechanics

R. Rahman, J.T. Foster

**Highlights**

- Read more about Peridynamic theory of solids from the perspective of classical statistical mechanics
- rrahman's blog
- Log in or register to post comments
- 1288 reads

## Extreme Particle Shape Effect for Packs of Platonic Solids

Fri, 2015-04-10 23:38 - karelmatousFor centuries, great minds like Kepler, Maxwell and Einstein have investigated the statistical characterization of many-body systems, and implications of small-scale structures on the macroscopic transport and mechanical properties. In this work, an accurate statistical description of heterogeneous particulate materials is computed using novel adaptive interpolation/integration scheme. This statistical information is then utilized within mathematical theories for predicting the overall thermo-mechanical behavior.

- Read more about Extreme Particle Shape Effect for Packs of Platonic Solids
- karelmatous's blog
- Log in or register to post comments
- 1321 reads

## NRC/ASEE Post-Doc Positions at the US Naval Research Laboratory in Computational Mechanics and Materials Science and Statistical Mechancis

Wed, 2014-06-25 18:18 - siddiq_qidwai

**Contact: Dr. Siddiq Qidwai, siddiq.qidwai@nrl.navy.mil**

**Postdoc Information: http://hroffice.nrl.navy.mil/jobs/postdoc.htm. Note the substantial stipend and benefits.**

## Freely jointed chain

Mon, 2013-02-18 20:45 - Zhigang SuoA single strand of polymer is a chain of a large number of monomers. The monomers are joined by covalent bonds, and two bonded monomers may rotate relative to each other. At a finite temperature, the polymer rapidly changes from one configuration to another. When the two ends of the polymer are pulled by a force, the distance between the two ends changes. The polymer is known as an entropic spring. These notes are developed as part of statistical thermodynamics to supplement the course on advanced elasticity.

- Read more about Freely jointed chain
- Zhigang Suo's blog
- Log in or register to post comments
- 3984 reads

## Open Postdoctoral Position at Carnegie Mellon University (USA)

Tue, 2012-12-18 02:01 - Radu MarculescuWe are currently looking for a top candidate to join the System Level Design group at CMU (www.ece.cmu.edu/~sld/), as a Postdoctoral Associate, starting Spring 2013. Main responsibilities involve work on modeling and control of stochastic micro-robotic swarms targeting biological applications.

- Read more about Open Postdoctoral Position at Carnegie Mellon University (USA)
- Radu Marculescu's blog
- Log in or register to post comments
- 3186 reads

## Carnot Cycle

Sat, 2011-10-15 16:54 - Zhigang SuoNotes and slides for a course on engineering thermodynamics. I used the Dover edition of Carnot's book.

- Read more about Carnot Cycle
- Zhigang Suo's blog
- Log in or register to post comments
- 3905 reads

## Statistical Mechanics of Humans

Tue, 2010-12-28 05:49 - Libb Thims- Read more about Statistical Mechanics of Humans
- Libb Thims's blog
- 1 comment
- Log in or register to post comments
- 4285 reads

## Microcanonical Entropy and Mesoscale Dislocation Mechanics and Plasticity

Mon, 2010-11-08 21:34 - Amit Acharya(Journal of Elasticity, Carlson memorial Volume)

A methodology is devised to utilize the statistical mechanical entropy of an isolated, constrained atomistic system to define the dissipative driving-force and energetic fields in continuum thermomechanics. A thermodynamic model of dislocation mechanics is discussed. One outcome is a definition for the mesoscale back-stress tensor and the symmetric, polar dislocation density-dependent, Cauchy stress tensor from atomistic ingredients.

- Read more about Microcanonical Entropy and Mesoscale Dislocation Mechanics and Plasticity
- Amit Acharya's blog
- 1 comment
- Log in or register to post comments
- 5145 reads

## Free Energy

Mon, 2009-02-23 14:54 - Zhigang SuoFor a system in thermal contact with the rest of the world, we have described three quantities: entropy, energy, and temperature. We have also described the idea of a constraint internal to the system, and associated this constraint to an internal variable.

- Read more about Free Energy
- Zhigang Suo's blog
- Log in or register to post comments
- 7229 reads

## Lecture notes on "Elasticity" and "Statistical Mechanics"

Thu, 2008-06-05 21:50 - Cai WeiThe lecture notes of the two courses I taught at Stanford University during the last two quarters, "ME 340 Elasticity" and "ME 334 Introduction to Statistical Mechanics", are available in PDF format online at:

http://micro.stanford.edu/~caiwei/me340/

http://micro.stanford.edu/~caiwei/me334/

Perhaps it could be useful to you.

- Read more about Lecture notes on "Elasticity" and "Statistical Mechanics"
- Cai Wei's blog
- 2 comments
- Log in or register to post comments
- 7396 reads

## 5 Lectureships and 5 Post-Doctoral Research Fellowships -national Centre for Advanced Tribology at Southampton (nCATS)

Mon, 2008-05-19 07:34 - nt3

**5 Lectureships and 5 Post-Doctoral Research Fellowships in the EPSRC funded national Centre for Advanced Tribology at Southampton ****(nCATS)**** **

**Lectureships: £32,795 to £41,545 **

## What is "randomness"?

Sat, 2007-04-07 01:43 - Ajit R. JadhavDoes the word "randomness" have antonym? If yes, what is it? Why? What view of randomness does that imply?

- Read more about What is "randomness"?
- 15 comments
- Log in or register to post comments
- 8786 reads

## A book on mechanics that would pique your curiosity

Wed, 2007-03-28 02:03 - Ajit R. JadhavI am happy to recommend the following book for your general reading.

Ranganath, G.S., ``Mysterious Motions and other Intriguing Phenomena in Physics," Hyderabad, India: Universities Press (2001)

- Read more about A book on mechanics that would pique your curiosity
- Log in or register to post comments
- 4185 reads

## thermodynamics of nanoscale small systems

Thu, 2007-03-15 18:29 - Henry TanHow to measure the temperature of a nanotube?

- Read more about thermodynamics of nanoscale small systems
- Henry Tan's blog
- 80 comments
- Log in or register to post comments
- 113437 reads

## Electric potential

Fri, 2007-02-23 16:26 - Zhigang Suo- Electric charge
- Movements of charged particles
- Elastic dielectric
- Work done by a battery and by a weight
- Electromechanical coupling
- Conservative system
- Experimental determination of electric potential
- Lagendre transformation
- parallel-plate capacitor

Return to the outline of Statistical Mechanics

- Read more about Electric potential
- Zhigang Suo's blog
- Log in or register to post comments
- 7253 reads

## Chemical potential

Thu, 2007-02-22 22:30 - Zhigang SuoAttached are the slides and notes for a course on engineering thermodynamics.

- Read more about Chemical potential
- Zhigang Suo's blog
- 2 comments
- Log in or register to post comments
- 13286 reads

## Pressure

Tue, 2007-02-20 13:00 - Zhigang SuoSo far we have been mainly concerned with systems of a single independent variable: energy (node/4878). We now consider a system of two independent variables: energy and volume. A thermodynamic model of the system is prescribed by entropy as a function of energy and volume.

The partial derivatives of the function give the temperature and the pressure. This fact leads to an experimental procedure to determine the function for a given system.

The laws of ideal gases and osmosis are derived. The two phenomena illustrate entropic elasticity.

- Read more about Pressure
- Zhigang Suo's blog
- 4 comments
- Log in or register to post comments
- 10410 reads

## The Boltzmann Distribution

Sun, 2006-10-08 17:52 - Zhigang Suo- A small system in thermal contact with a large system
- The Boltzmann factor
- Partition function
- The probability for a system in thermal equilibrium with a reservoir to be in a specific state
- The probability for a system in thermal equilibrium with a reservoir to be in a configuration
- Thermal fluctuation of an RNA molecule
- A matter of words

Return to the outline of Statistical Mechanics.

- Read more about The Boltzmann Distribution
- Zhigang Suo's blog
- 1 comment
- Log in or register to post comments
- 8856 reads

## Entropy

Sun, 2006-10-08 17:46 - Zhigang Suo- A dissection of a sample space
- Entropy of a dissection of a sample space

- Read more about Entropy
- Zhigang Suo's blog
- Log in or register to post comments
- 7090 reads

## Temperature

Sun, 2006-10-08 14:20 - Zhigang SuoThese notes are part of my notes on thermodynamics.

- Read more about Temperature
- Zhigang Suo's blog
- 13 comments
- Log in or register to post comments
- 18569 reads

## Entropy

Sun, 2006-10-08 14:15 - Zhigang SuoThe notes are attached. See related notes on thermodynamics.

- Read more about Entropy
- Zhigang Suo's blog
- 6 comments
- Log in or register to post comments
- 17374 reads

## Probability

Sun, 2006-10-08 14:10 - Zhigang Suo- An experiment that has many possible outcomes
- Construct a sample space at a suitable level of detail
- Probability of an event
- Conditioning
- Independent events
- Random variable
- Use a random variable to specify an event
- Use a random variable to dissect a sample space
- Probability distribution of a random variable
- Variance of a random variable
- A dimensionless measure of the fluctuation of a random variable

Return to the outline of Statistical Mechanics

- Read more about Probability
- Zhigang Suo's blog
- Log in or register to post comments
- 5675 reads

## Statistical Mechanics

Sun, 2006-10-08 14:01 - Zhigang Suo- Read more about Statistical Mechanics
- Zhigang Suo's blog
- 15 comments
- Log in or register to post comments
- 44054 reads

## Recent comments