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# statistical mechanics

## Thermal fluctuations (eventually) unfold nanoscale origami

Wed, 2024-01-10 09:18 - matthew.grasingerWe investigate the mechanics and stability of a nanoscale origami crease via a combination of equilibrium and nonequilibrium statistical mechanics. We identify an entropic torque on nanoscale origami creases, and find stability properties have a nontrivial dependence on bending stiffness, radii of curvature of its creases, ambient temperature, its thickness, and its interfacial energy.

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## Journal Club for November 2022: Entropy-driven mechanics of crystalline and biological membranes

Sun, 2022-10-30 21:21 - Fatemeh AhmadpoorFatemeh Ahmadpoor

New Jersey Institute of Technology

## Statistical mechanics of a dielectric polymer chain in the force ensemble

Tue, 2021-10-19 12:32 - matthew.grasingerDear colleagues,

We invite you to see the preprint of our new paper "Statistical mechanics of a dielectric polymer chain in the force ensemble" that will appear in Journal of the Mechanics and Physics of Solids. Here we compute the electroelasticity of single polymer chains using both analytical approximations and novel MCMC techniques. Working in the fixed force ensemble facilitates the derivation of the analytical approximations, which are shown to agree well with the MCMC results. This work complements prior work on the statistical mechanics of dielectric polymers chains obtained in a different ensemble. (https://doi.org/10.1016/j.jmps.2021.104658).

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## Scientists report solving one of the oldest problems in mechanics

Thu, 2017-07-20 14:16 - Cemal BasaranBeing able to accurately predict the life span of physical bodies, both living and non-living, has been one of humankind’s eternal endeavors. Over the last 150 years, many attempts were made to unify the field of Newtonian mechanics and thermodynamics, in order to create a generalized and consistent theory of evolution of life-span.

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## 4th International Electronic Conference on Entropy and Its Applications 21 November–1 December 2017

Thu, 2017-07-20 10:46 - Cemal Basaran4th International Electronic Conference on Entropy and Its Applications http://sciforum.net/conference/ecea-4

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

Thu, 2016-08-25 16:50 - Cemal BasaranI 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 - Cemal BasaranI 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**

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## 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.

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## 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.

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## 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.

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## 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.

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## Statistical Mechanics of Humans

Tue, 2010-12-28 05:49 - Libb Thims- Read more about Statistical Mechanics of Humans
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## 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.

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## 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.

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## 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.

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## 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?

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## 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)

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## thermodynamics of nanoscale small systems

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

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## Electric potential

Fri, 2007-02-23 16:26 - Zhigang SuoNotes prepared for Statistical Mechanics and Advanced Elasticity.

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## Chemical potential

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

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## 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.

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## 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.

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