High-temperature exchange third virial coefficient for hard spheres via an asymptotic method for path integrals

The fifth virial coefficient of a fluid of hard spheres is a sum of 238 irreducible cluster integrals of 10 different types. The values of 5 of these types (152 integrals) are obtained analytically, the contributions of a further 4 types (85 integrals) are obtained by a combination of analytical and numerical integration, and 1 integral is calculated by an approximation. The result is E = (0·1093 ± 0·0007) b 4 , b = 2/3 πN A σ 3 , where σ is the diameter of a sphere. A combination of the values of 237 of the cluster integrals obtained in this paper with the value of one integral obtained independently by Katsura & Abe from a Monte Carlo calculation yields E = (0·1101 ± 0·0003) b 4 .

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A Structured Hybrid Catalyst to Improve ORR Activity and Phosphoric Acid in the High-Temperature Exchange Membrane Fuel Cell

ECS Meeting Abstracts ◽

10.1149/ma2021-02391195mtgabs ◽

2021 ◽

Vol MA2021-02 (39) ◽

pp. 1195-1195

Author(s):

Zhaoqi Ji

Keyword(s):

High Temperature ◽

Fuel Cell ◽

Phosphoric Acid ◽

Hybrid Catalyst ◽

Orr Activity ◽

Temperature Exchange ◽

Exchange Membrane

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The third virial coefficient of hard discs of different sizes

Molecular Physics ◽

10.1080/00268978700101291 ◽

1987 ◽

Vol 61 (2) ◽

pp. 525-528 ◽

Cited By ~ 9

Author(s):

John S. Rowlinson ◽

Donald A. McQuarrie

Keyword(s):

Virial Coefficient ◽

The Third ◽

Third Virial Coefficient

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GENERALIZED PARTITION FUNCTIONS AND INTERPOLATING STATISTICS

Modern Physics Letters A ◽

10.1142/s0217732398000917 ◽

1998 ◽

Vol 13 (11) ◽

pp. 843-852 ◽

Cited By ~ 5

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.

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