Low-temperature behavior of the classical second virial coefficient for potentials with a smooth minimum

1985 ◽  
Vol 89 (19) ◽  
pp. 3966-3967 ◽  
Author(s):  
A. J. M. Garrett
Keyword(s):  
Low Temperature ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Behavior

scholarly journals HIGH AND LOW TEMPERATURE BEHAVIOR OF A QUANTUM GROUP FERMION GAS

1996 ◽  
Vol 11 (29) ◽  
pp. 2325-2333 ◽  
Author(s):  
MARCELO R. UBRIACO
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Quantum Group ◽  
Upper Bound ◽  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Behavior ◽  
Spatial Dimensions ◽  
Fermion Gas

We consider the simplest SU q(2) invariant fermionic Hamiltonian and calculate the low and high temperature behavior for the two distinct cases q>1 and q<1. For low temperatures we find that entropy values for the Fermi case are an upper bound for those corresponding to q≠1. At high temperatures we find that the sign of the second virial coefficient depends on q, and vanishes at q=1.96. An important consequence of this fact is that the parameter q connects the fermionic and bosonic regions, showing therefore that SU q(2) fermions exhibit fractional statistics in three spatial dimensions.

scholarly journals GENERALIZED PARTITION FUNCTIONS AND INTERPOLATING STATISTICS

1998 ◽  
Vol 13 (11) ◽  
pp. 843-852 ◽  
Author(s):  
P. F. BORGES ◽  
H. BOSCHI-FILHO ◽  
C. FARINA
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Limit ◽  
Partition Functions ◽  
High Temperature Limit ◽  
Full Temperature ◽  
Generalized Partition ◽  
Relativistic Particles

We show that the assumption of quasiperiodic boundary conditions (those that interpolate continuously periodic and antiperiodic conditions) in order to compute partition functions of relativistic particles in 2+1 space–time can be related with anyonic physics. In particular, in the low temperature limit, our result leads to the well-known second virial coefficient for anyons. Besides, we also obtain the high temperature limit as well as the full temperature dependence of this coefficient.

The Second Virial Coefficient of Methane at Low Temperature

Nature ◽  
1960 ◽  
Vol 187 (4733) ◽  
pp. 229-230 ◽  
Author(s):  
G. THOMAES ◽  
R. VAN STEENWINKEL
Keyword(s):  
Low Temperature ◽  
Virial Coefficient ◽  
Second Virial Coefficient

Interpretation of Preferential Adsorption Using Random Phase Approximation Theory

1995 ◽  
Vol 60 (10) ◽  
pp. 1641-1652 ◽  
Author(s):  
Henri C. Benoît ◽  
Claude Strazielle
Keyword(s):  
Approximation Theory ◽  
Random Phase Approximation ◽  
Virial Coefficient ◽  
Random Phase ◽  
Second Virial Coefficient ◽  
Solvent Mixture ◽  
Gyration Radius ◽  
Thermodynamic Quantities ◽  
Phase Approximation ◽  
Preferential Adsorption

It has been shown that in light scattering experiments with polymers replacement of a solvent by a solvent mixture causes problems due to preferential adsorption of one of the solvents. The present paper extends this theory to be applicable to any angle of observation and any concentration by using the random phase approximation theory proposed by de Gennes. The corresponding formulas provide expressions for molecular weight, gyration radius, and the second virial coefficient, which enables measurements of these quantities provided enough information on molecular and thermodynamic quantities is available.

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