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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).

Scientists report solving one of the oldest problems in mechanics

Submitted by Cemal Basaran on

Being 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.

 

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

Submitted by Cemal Basaran on

I 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

Submitted by Cemal Basaran on

I 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.

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.