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...
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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.
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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) $$Z=e^{-\beta H}$$...
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    B 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 (:
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    B Some Questions About Gold Nanoparticles

    Thank you! This looks like it will be a very useful article in my research.
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    B 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...
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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 :)
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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!
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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?
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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.
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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.
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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...
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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!
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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...
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