Note on Thermodynamic Equilibrium in the Gravitational Field.

1936 ◽  
Vol 40 (3) ◽  
pp. 373-378 ◽  
Author(s):  
F. O. Koenig
Keyword(s):  
Gravitational Field ◽  
Thermodynamic Equilibrium

On thermodynamic equilibrium in a gravitational field

Physica ◽  
1965 ◽  
Vol 31 (2) ◽  
pp. 222-232 ◽  
Author(s):  
N.L. Balazs ◽  
J.M. Dawson
Keyword(s):  
Gravitational Field ◽  
Thermodynamic Equilibrium

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Evolution of collisional systems

1984 ◽  
Vol 75 ◽  
pp. 361-362
Author(s):  
André Brahic
Keyword(s):  
Gravitational Field ◽  
Dynamical Evolution ◽  
Oblate Planet

AbstractThe dynamical evolution of planetary discs in the gravitational field of an oblate planet and a satellite is numerically simulated.

Sedimentation of charged colloids in the gravitational field : Relaxation toward equilibrium

2000 ◽  
Vol 10 (PR5) ◽  
pp. Pr5-109-Pr5-112
Author(s):  
J.-F. Dufrêche ◽  
J.-P. Simonin ◽  
P. Turq
Keyword(s):  
Gravitational Field ◽  
Charged Colloids

Pair Production in a Field of Heavy Nuclei and in a Gravitational Field

1971 ◽  
Vol 105 (12) ◽  
pp. 780-781 ◽  
Author(s):  
Ya.B. Zel'dovich ◽  
Lev P. Pitaevskii ◽  
Valentin S. Popov ◽  
Aleksei A. Starobinskii
Keyword(s):  
Gravitational Field ◽  
Pair Production ◽  
Heavy Nuclei

Multi- and In-Stabilities in Gas Partitioning Between Nanoporous Materials and Rubber Balloons

2018 ◽  
Author(s):  
Cory Simon ◽  
carlo carraro
Keyword(s):  
Thermodynamic Equilibrium ◽  
Stable States ◽  
Temperature Changes ◽  
Adsorbed Gas ◽  
Rubber Balloon ◽  
Balloon Size ◽  
Metal Organic ◽  
Balloon Experiment ◽  
Adsorbent System ◽  
Balloon System

<div>In the two-balloon experiment, two rubber balloons are connected and allowed to exchange gas. Owing to the non-monotonic relationship between the radius of the balloon and the pressure of gas inside of it, the two-balloon system presents multi- and in-stabilities.</div><div><br></div><div>Herein, we consider a two-adsorbent system, where two different adsorbents are allowed to exchange gas. We show that, for rigid adsorbents, the thermodynamic equilibrium state is unique.</div><div><br></div><div>Then, we consider an adsorbent-balloon system, where an adsorbent exchanges gas with a rubber balloon. This system can exhibit multiple states at thermodynamic equilibrium-- two (meta)stable and one unstable. The size of the balloon, pressure of gas in the balloon, and partitioning of gas between the adsorbent and the balloon differ among the equilibrium states. Temperature changes and the addition/removal of gas into/from the adsorbent-balloon system can induce catastrophe bifurcations and show hysteresis. Furthermore, the adsorbent-balloon system exhibits a critical temperature where, when approached from below, the discrepancy of balloon size between the two (meta)stable states decreases and, beyond, bistability is impossible.</div><div><br></div><div>Practically, our findings preclude multiple partitions of adsorbed gas in rigid mixed-linker metal-organic frameworks and may inspire new soft actuator and sensor designs.</div>

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