elements of statistical thermodynamics nash

#Elements of statistical thermodynamics nash mods#

When making assertions, we encourage you to post links to supporting evidence, or use valid reasoning. Answers should strive to contain an explanation using the logic of science, engineering or mathematics. We are not strict on this, but will absolutely not accept assertions of pseudo-science or incoherent / uninformed rambling. Repeat violations will lead to a ban.ĭon't answer if you aren't knowledgeable.Įnsure that you have the knowledge required to answer the question at hand. Demeaning language, sarcasm, rudeness or hostility towards another user will get your comment removed. No copy+paste lazy cheaters.Īll users are expected to behave with courtesy. Be prepared to do the final calculations yourself. If you have input values to a problem and need help getting to the output values, give us some context! Let us know what you've already tried, what you're struggling with, and be prepared to engage with follow-up discussion. We welcome 'wordy homework questions' and discussion on relevant topics.

We like questions, news, published research, course content, educational resources or videos about Thermodynamics. We will not accept titles containing the words 'help please' or 'thermo question' or similar. Text posts must contain a question about thermodynamics in the title - be specific.

#Elements of statistical thermodynamics nash mods#

Only the OP and mods can use the !thanks command Submission Rules

You will see a number flair next to the commenters' names - this is the number of times they've been thanked for their comments. If someone comments on your submission with something helpful, please put this word anywhere in your response to them: !thanks This figure shows pressure (P) as positive, but an equivalent P-V diagram could be constructed for an substance with negative pressure, such as a rubber band.Click to learn Thermodynamics Subscribe for more entropy! New to Thermodynamics? Read our subreddit rules before posting! Reputation System For the ideal gas, these contours are hyperbolas, but we are not restricting our discussion to the ideal gas.

Contours of constant temperature are called isotherms. The other state variable (T) can be depicted using contours on the graph. Thermodynamic entropy: In 1862 Clausius proposed that entropy is Δ S = ∫ d Q r e v T are not state variables,we introduce the heat engine, which is a cycle that converts heat into work (or it can act as a heat pump if the cycle is reversed.) Since only two state variables are independent, it is possible to fully specify a system as a point on a two dimensional graph, for example on the P-V (pressure-volume) diagram shown in the figure. Three iconic equations in thermodynamics Ĭonsider three iconic equations encountered in the education of a physicist: The effort to reach absolute zero never succeeds: Third Law of Thermodynamics Friction is everywhere, friction turns to heat, and you can't use heat: Second Law of Thermodynamics Energy cannot be created: First Law of Thermodynancs A thermometer can only take its own temperature: Zeroth Law of Thermodynamics Of all the topics in the curriculum of the advanced physics major, thermodynamics is probably the subject presented with the most unanswered questions. Here we attempt to connect three iconic equations in thermodynamics: (1) the Clausius definition of entropy, (2) the Maxwell-Boltzmann energy distribution, and (3) the various statistical definitions of entropy.

8.5 About learning projects and resources.

6.5 Calculating the statistical entropy for a classical ideal gas.

6.3 First law of thermodynamics with entropy.

6.2 Carnot's theorem and the existence of entropy.

5.8 The velocity distribution if the gas is confined by a potential.

5.7 The importance of using proper phase space variables.

5.6 Using the ideal gas law to find kappa.

5.5 Velocity distribution function for a 1-D ideal gas.

5.3 Maxwell's symmetry argument for velocity space.

5.2 Kinetic energy probability distribution.

5.1 Two dimensional gas confined to within a circle.

4.1.2 move this statement to a later place in this document.

4.1.1 Canonical variables, Liouville's theorem, and the ergodic hypothesis.

4.1 Ergodic hypothesis and second law of thermodynamics.

4 An introduction to motion in phase space.

3.1 Why the Carnot engine is reversible.

2.3 Why heat and work are not state variables.

2.1 State variables: Pressure (P), Energy (E), Volume (V), and Temperature (T):.

2 Thermodynamic (Clausius) definition of entropy.

1 Three iconic equations in thermodynamics.