Statistical Definition and 582 Threads

Ok I am having a really annoying time with my father here. Now statistically, you are much more likely to get in an accident in a car then in a small airplane per mile traveled. Now my father thinks that its better to say that its more dangerous to have a small airplane since you are more likely...

I understand that there are a couple of statistical models out there that describe physical systems. One I know is Fermi-Dirac statistics. What are the other models, what are their key features and when are they applied? When working with a system, how can you be sure you should be using this...

Can anybody in the forum direct me as to where I can get the solution manual for "Statistical Mechanics" - by Pathria. Thanking you in advance.

Hi, I am just starting a 3rd year course in Statistical Mechanics, and am a bit confused about the operator trace, Tr. I know there is a trace for quantum operators, as well as one in classical physics, but i am not sure how to calculate either, or their physical meaning. Any help would be...

I have studied statistical mechanics using F. Reif's book, and learned a lot, but there are still a couple very fundamental questions which still elude me. If anyone would be willing to share some insight, I would really appreciate it! So Reif early on discusses the fundamental postulate of...

I'm searching for a statistical mechanics textbook. It should be roughly at or above the advanced undergraduate level, have a decent set of problems, be reasonably thorough, and be ideal for self-study. I would be grateful for any recommendations.

You have two tools: 1. A straight edge 2. The ability to judge any distance to within 20%, or any angle to within 20 degrees. What can you construct with these tools, with an unlimited? In particular, is there a method for constructing an approximate circle that tends towards perfect...

I wish to know about web sites or other resourses from where i can get solutions for all the end of the chapter problems for the book on statistical Mechanics by R K Pathria

I am mixed up about thermal equilibrium in statistical physics. And I hope you excuse me if I use unconventional words, I am from Sweden, my book is in german and I try to express myself in english. In my book (Noltings "Grundkurs theoretische Physik, Band 6") thermal equilibrium is defined...

1. If X1, X2, X3, X4 are a random samle from a normal distribution with mean 17, then what is the distribution of 2(X - 10) / S where X should be X bar. Our notes are just awful for this topic. Any tips how to proceed with this one, and what is S? 2. Let X1, X2, ... be a sequence of...

Does "equilibrium" imply max. entropy in statistical mechanics? I've gotten myself confused thinking about the meaning of "equilibrium" in statistical mechanics. I thought I remembered that an isolated system at equilibrium is equally likely to be in any possible microstate, which means there...

In my Statistical Physics and Entropy module, we did something about atoms in a box with an imaginary partition down the middle, so atoms could either be on the left or the right. If there were 4 atoms in the box, the system would have 5 macrostates. If there were 8, there would be 9. Is is...

Hi all. So something's bothering me; Given the def. S=-k(sum on r: pr*ln(pr)) for the entropy, find the entropy of N>>1 free particles moving in a 2d box with energy E. Now, don't I have a continuum of states here? How do I do that? Thanks :smile:

Please Help- A problem in statistical mechanics In a gas at STP, let p(r)dr be the probability that an atom has a nearest neighbor between distances r and r+dr. Find p(r). I am struggling with this question. For STP I can find the particle density. But where do I go from there? Do I need...

I have a chemical reaction at equilibrium " cis <--> trans " at 300K The energydifference between the two states is 4,7 kJ/mol and cis has the highest energy. I want to find out how many molecules that is in cis- and how many that is in trans-state? Thankful for tips! Regards Daniel

i am ineterested in complexity concept do u know any introductory documan on net ...

Now this may sound rather stupid, but I'm just curious: Of the people who interact with and use this site, how many are INTPs or INTJs? Do those temperaments form the majority (or the largest subgroup) of this site's users? These are two of the possible 16 results of the ""Keirsey...

This may be too much work, so I understand if no one tackles the problem... I'm doing an analysis of the power usage of a building. Sheet 2 of the attached spreadsheet shows typical data (we have 4 years of it). The top graph is the kWh used every 30 minutes of every day in January, 2003...

I got into a discussion about the "arrow of time" recently, and one point I brought up is that for a system governed by time-symmetric laws, if you place no special restrictions on the initial conditions but instead pick an initial state randomly from the system's entire phase space, you will be...

According to QM, a diatomic gas molecule possesses rotational energy levels given by En = (1/2I)(h^2)n(n + 1). h is meant to be h-bar, Planck's constant over 2π here and I = moment of inertia. Energy level n has a degeneracy of 2n + 1. Find the partition function of the rotational motion of a...

I have two questions, I've completed. I am partially sure that the answers I've obtained are correct, and all I really want is confirmation on whether they are correct or not. If not, what am I doing wrong? Question 1: If the joint probability distribution of X1 and X2 is given by...

Consider 2 systems of spin 1/2 paramagnets, which may point either up or down wrt a magnetic field. The first system contains 8 paramagnets and the second contains 6 paramagnets. Suppose the energy of the combined system is constrained such that the total number of spins pointing up in the 2...

Hi everyone, I have two questions from my latest homework set that are driving me nuts, so here goes: 1) "Recalling that the Fermi-Dirac distribution function applies to all fermions, including protons and neutrons, each of which have spin 1/2, consider a nucleus of 22Ne consisting of 10...

Imagine a number of finite universes superimposing to realize our apparent physical situation. For us, their many accessible states are expressed by the behavior of corresponding probability waves. Coexisting universes, including even those representing different physics (yet retaining a...

Lately I've been reading a lot of statistical physics and I really enjoy it. I was curious what sorts of physics more study in this area would lead me to. Condensded matter? Solid state?

http://www.newscientist.com/news/news.jsp?id=ns99995051" Rounding numbers seems to be a difficult task for some..

I would just like to know what exactly is the basis of the Chaos Theory; has it anything to do with the idea of statistical anentropy? Could someone give me an introduction to these topics? (I am a 15 year old going into a Honors Physics course in high school, thinking maybe I would like to...

I have got a bit of problem here. I have got 4 sets of results for a biology experiment, and I want to find the correlation between them. So I read about Spearman's rank coefficient but it only works for two sets of results. Can somebody help please?

need some help with statistics! My problem is this: I am given a set of data for a group of individuals and from that data I am supposed to infer the moments of that data as compared to the population as a whole. The problem is, I do not have the relevant data pertaining to the entire...

I have near to no knowledge of statistics, and I want to build a statistical model that can help me calculate %chance of an event happening in situations of type: every try has 25% success rate after 6 tries, what are the probabilities of having succeeded at least 5times? After 12tries...

I'm planing on learning Statistical Mechanics by myself. I would like to hear recomendations on what you think are the best Statistical Mechanics books. My interest right now would be books that are on a undergraduate level, with detailed explanation, examples and problems, but you could also...

I find the analysis of the deaths of children about 3/4's of the way down, interesting, as well as tragic. http://www.ict.org.il/articles/articledet.cfm?articleid=439 More on the deaths of children http://www.camera.org/index.asp?x_context=7&x_issue=16&x_article=346