Recent content by pauladancer
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Partition Function for Spin-1 One Dimensional Ising Model
I am modelling DNA as a one dimensional Ising model, and so I don't think it would be wise to use periodic boundary conditions since DNA isn't circular (in eukaryotes anyway). The main part of my paper will be comparing this to a numerical/computational result :) Digging through the internet...- pauladancer
- Post #4
- Forum: Advanced Physics Homework Help
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Partition Function for Spin-1 One Dimensional Ising Model
Update: It seems that the transfer matrix method is the best way to do this, but I cannot find the correct expression for the partition function in matrix form if the boundary conditions are not periodic.- pauladancer
- Post #2
- Forum: Advanced Physics Homework Help
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Partition Function for Spin-1 One Dimensional Ising Model
$$H=-J\sum_{i=1}^{N-1}\sigma_i\sigma_{i+1}$$ There is no external magnetic field, so the Hamiltonian is different than normal, and the spins $\sigma_i$ can be -1, 0, or 1. The boundary conditions are non-periodic (the chain just ends with the Nth spin) $$Z=e^{-\beta H}$$...- pauladancer
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- Function Ising model Model One dimensional Partition Partition function
- Replies: 3
- Forum: Advanced Physics Homework Help
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High School Some Questions About Gold Nanoparticles
Thank you so much! That really helps me to understand the topic better. I will definitely refer to this when I'm doing my write up (:- pauladancer
- Post #5
- Forum: Atomic and Condensed Matter
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High School Some Questions About Gold Nanoparticles
Thank you! This looks like it will be a very useful article in my research.- pauladancer
- Post #3
- Forum: Atomic and Condensed Matter
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High School Some Questions About Gold Nanoparticles
Hello! I am in my last year of high school physics, and for our final project we are given the opportunity to research a topic we are interested in. My chosen subject is the use of gold nanoparticles in cancer treatment. Although I have just begun my research, I am having a tough time finding...- pauladancer
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- Gold
- Replies: 4
- Forum: Atomic and Condensed Matter
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Particles in a Magnetic Field Question
OH! So I can say Vq= 1/2mv2 and mv2/r= qvB... So I solved for v on both sides and got v=qBr/m and v=√2Vq/m and then combine those, solve for q/m and so q/m=2V/B2r2! I plugged in the numbers and got the right answer, 9.0x10-27 kg. Thank you so much for your help, glad I finally got it :)- pauladancer
- Post #13
- Forum: Introductory Physics Homework Help
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Particles in a Magnetic Field Question
Fc= mv2/r ?- pauladancer
- Post #11
- Forum: Introductory Physics Homework Help
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Particles in a Magnetic Field Question
Perfect! Ok, so I can say that ΔE= 6.4x10-16 J which would also equal 1/2mv2. After that I'm still not sure what to do!- pauladancer
- Post #9
- Forum: Introductory Physics Homework Help
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Particles in a Magnetic Field Question
Haha ok good! I guess it gains kinetic energy and loses potential energy, would that ΔE be equal to 1/2mv2?- pauladancer
- Post #7
- Forum: Introductory Physics Homework Help
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Particles in a Magnetic Field Question
Sorry, I'm not quite sure what you mean! To be honest I'm not even sure if I need that equation.- pauladancer
- Post #5
- Forum: Introductory Physics Homework Help
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Particles in a Magnetic Field Question
ΔE is the change in potential energy experienced by the particle. I could find that, but I'm not sure what I would do from there.- pauladancer
- Post #3
- Forum: Introductory Physics Homework Help
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Particles in a Magnetic Field Question
Homework Statement A beam of doubly ionized particles (i.e., twice the elementary charge) is accelerated across a potential difference of 2000 V in a mass spectrometer. They are then passed perpendicularly through a magnetic field of 0.085 T resulting in a radius of curvature 12.5 cm. Calculate...- pauladancer
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- Field Magnetic Magnetic field Particles
- Replies: 13
- Forum: Introductory Physics Homework Help
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Glider and vertical circle question
Thank you everyone, I finally figured out that the masses cancel out when you solve, so you don't need a mass!- pauladancer
- Post #9
- Forum: Introductory Physics Homework Help
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Glider and vertical circle question
Homework Statement What is the minimum speed that a glider must fly in order to make a perfect vertical circle in the air if the circle has a radius of 200.0 m? Homework Equations Fc = mv2 / r V = 2(Pi)r / T The Attempt at a Solution I have drawn the free body diagram and I think that the...- pauladancer
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- Circle Vertical
- Replies: 8
- Forum: Introductory Physics Homework Help