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statistical mechanics

Thermal fluctuations (eventually) unfold nanoscale origami

Submitted by matthew.grasinger on

We 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.

Statistical mechanics of a dielectric polymer chain in the force ensemble

Submitted by matthew.grasinger on

Dear 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).

Extreme Particle Shape Effect for Packs of Platonic Solids

Submitted by karelmatous on

For 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.

Freely jointed chain

Submitted by Zhigang Suo on

A 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.

Open Postdoctoral Position at Carnegie Mellon University (USA)

Submitted by Radu Marculescu on

We 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.