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16 papers · 1 filter
Ballistic Dynamics of Flexural Thermal Movements in a Nano-membrane Revealed with Subatomic Resolution
Tongjun Liu, Jun-Yu Ou, Nikitas Papasimakis +3
Flexural oscillations of free-standing films, nano-membranes and nano-wires are attracting growing attention for their importance to the thermal, electrical and mechanical properti…
From Random Motion of Hamiltonian Systems to Boltzmann H Theorem and Second Law of Thermodynamics -- a Pathway by Path Probability
Qiuping A. Wang, Aziz El Kaabouchi
A numerical experiment of ideal stochastic motion of a particle subject to conservative forces and Gaussian noise reveals that the path probability depends exponentially on action.…
Back to Maupertuis' least action principle for dissipative systems: not all motions in Nature are most energy economical
Qiuping A. Wang
It is shown that an oldest form of variational calculus of mechanics, the Maupertuis least action principle, can be used as a simple and powerful approach for the formulation of th…
Least action principle and stochastic motion : a generic derivation of path probability
Aziz El Kaabouchi, Qiuping A. Wang
This work is an analytical calculation of the path probability for random dynamics of mechanical system described by Langevin equation with Gaussian noise. The result shows an expo…
Path probability distribution of stochastic motion of non dissipative systems: a classical analog of Feynman factor of path integral
T. L. Lin, R. Wang, W. P. Bi +4
We investigate, by numerical simulation, the path probability of non dissipative mechanical systems undergoing stochastic motion. The aim is to search for the relationship between…
Casimir effect of an ideal Bose gas trapped in a generic power-law potential
Tongling Lin, Guozhen Su, Qiuping A. Wang +1
The Casimir effect of an ideal Bose gas trapped in a generic power-law potential and confined between two slabs with Dirichlet, Neumann, and periodic boundary conditions is investi…