PHY 341641 Thermodynamics and Statistical Physics Lecture 31

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PHY 341/641 Thermodynamics and Statistical Physics Lecture 31 Analysis of classical gases and liquids

PHY 341/641 Thermodynamics and Statistical Physics Lecture 31 Analysis of classical gases and liquids • Interaction potentials • Approximations to the partition function 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 1

-- student presentations 4/30, 5/2 (need to pick topics) 12/18/2021 PHY 341/641 Spring 2012

-- student presentations 4/30, 5/2 (need to pick topics) 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 2

Part of SPS zone 5 conference April 20 -21, 2012 www. wfu. edu/physics/spszone 52012

Part of SPS zone 5 conference April 20 -21, 2012 www. wfu. edu/physics/spszone 52012 conf/welcome. html 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 3

Consider a canonical ensemble of N particles moving in 3 dimensions within a volume

Consider a canonical ensemble of N particles moving in 3 dimensions within a volume V at temperature T=1/kb 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 4

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 5

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 5

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 6

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 6

u. HC(r) Model simulations of ZC s 12/18/2021 PHY 341/641 Spring 2012 -- Lecture

u. HC(r) Model simulations of ZC s 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 r 7

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 8

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 8

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 9

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 9

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 10

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 10

Virial expansion for hard-core potential 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 11

Virial expansion for hard-core potential 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 11

u. SW(r) Modified hard-core potential – square well potential -e 12/18/2021 s Rs r

u. SW(r) Modified hard-core potential – square well potential -e 12/18/2021 s Rs r PHY 341/641 Spring 2012 -- Lecture 31 12

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 13

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 13

Virial expansion for modified hard-core potential 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31

Virial expansion for modified hard-core potential 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 14

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 15

12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 15

Evaluation of B 2(T) for Lennard-Jones potential -- continued 4 eb=1 4 eb=0. 1

Evaluation of B 2(T) for Lennard-Jones potential -- continued 4 eb=1 4 eb=0. 1 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 16

Evaluation of B 2(T) for Lennard-Jones potential -- continued 1/(4 eb) 12/18/2021 PHY 341/641

Evaluation of B 2(T) for Lennard-Jones potential -- continued 1/(4 eb) 12/18/2021 PHY 341/641 Spring 2012 -- Lecture 31 17

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