scholarly journals Energy Profile Fluctuations in Dissipative Nonequilibrium Stationary States

2005 ◽  
Vol 118 (3-4) ◽  
pp. 373-405 ◽  
Author(s):  
Jean Farago
2014 ◽  
Vol 113 (10) ◽  
Author(s):  
Fernanda P. C. Benetti ◽  
Ana C. Ribeiro-Teixeira ◽  
Renato Pakter ◽  
Yan Levin

2019 ◽  
Vol 61 (11) ◽  
pp. 2257
Author(s):  
А.В. Савин ◽  
О.И. Савина

The stationary states of multi-walled carbon nanotubes are investigated. Numerical simulation has shown that for sufficiently large diameters, nanotubes become bistable systems. Regardless of the interaction with the substrates, they can be in two stable states: in an open, having an internal cavity, and in a collapsed state. The interaction with the flat substrate leads to the flattening of the nanotube, which makes its transition to the collapsed state energetically more favorable (the stronger the interaction, the more advantageous is the transition). It is shown that the change of the shape of a multilayer nanotube due to its interaction with the substrate or due to its collapse leads to a sharp increase in the number of its collective eigenmodes, in which all its layers already take part. The energy profile of the transition between the stationary states of the nanotube is obtained. This profile is a highly asymmetric double-well potential, with the first narrow minimum corresponding to the collapsed state, and with the second wide minimum corresponding to the open state of the nanotube.


Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 673
Author(s):  
Carlo Bianca ◽  
Marco Menale

The existence and reaching of nonequilibrium stationary states are important issues that need to be taken into account in the development of mathematical modeling frameworks for far off equilibrium complex systems. The main result of this paper is the rigorous proof that the solution of the discrete thermostatted kinetic model catches the stationary solutions as time goes to infinity. The approach towards nonequilibrium stationary states is ensured by the presence of a dissipative term (thermostat) that counterbalances the action of an external force field. The main result is obtained by employing the Discrete Fourier Transform (DFT).


2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Robert Holyst ◽  
Anna Maciołek ◽  
Yirui Zhang ◽  
Marek Litniewski ◽  
Piotr Knychała ◽  
...  

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