Transport Definition and 239 Threads

How do I obtain the Levi-Civita connection from the concept of parallel transport? So Do Carmo asks to prove that for vector fields X, Y on M, and for c(t) an integral curve of X, i.e. c(t_0) = p and X(c(t)) = dc/dt, the covariant derivative of Y along X is the derivative of the parallel...

i posted this also in general physics, but I'm posting it here as well. sorry if I'm breaking the community rules Well this is not my question, but i thought i would ask this in this forum to find a solution regarding the same. Imagine a very long rod that extends between the Earth and...

Well again I'm very new to the field of solid state physics. I understand that phonons are the lattice vibrations which are transferred from one atom to another. In case of harmonic vibration, the phonons are similar to the elastic spring and the atoms are considered like the balls attached to...

Hi, I've been reading these forums for quite a while and now it seems like a good moment for my first post. I'm doing simple coherent transport calculations in tight-binding approximation. The device Hamiltonian matrix H_D is connected to two ideal leads, characterized by the unit cell lead...

Could light be a media for transport? I realize that light is a wave, but isn't also a particle? I mean if air can be used as a media, then why can't light, they are both particles.

Homework Statement Consider a closed curve on a sphere. A tangent vector is parallel transported around the curve. Show that the vector is rotated by an angle which is proportional to the solid angle subtended by the area enclosed in the curve. The Attempt at a Solution First, I parametrize...

I've been trying to figure out how I can start with the Navier-Stokes equation and end up at the Reynolds Transport Theorem. Could anyone provide a link to a derivation of this? or some advice of some sort?

Hi guys, Some background : I'm in the early stages of my first semester of High School Biology and I'm already having some problems coming to terms with the basics. Our original teacher was in car accident over break so we're stuck with a sub, who's a spanish teacher and completely hopeless...

If we have as a manifold euclidian R^2 but expressed in polar coordinates... Do any circle centered at the origin constitute a geodesic? Because I think it parallel transport its own tangent vector.

The parallel transport equation is \frac{d\lambda^{\mu}}{d\tau} = -\Gamma^{\mu}_{\sigma\rho} \frac{dx^{\sigma}}{d\tau} \lambda^{\rho} If I take the derivative of this with respect to tau, and get \frac{d^2\lambda^{\mu}}{d\tau^2} =...

This is something you might want to take a look before you go off on your next air travel in the US. http://www.powerpage.org/2007/12/us_dot_bans_transport_of_spare_lithium_batteries_in_checked_baggage.html This is going to be a bit annoying since we travel with spare camera and camcorder...

http://jalopnik.com/cars/siberian-screwjob/in-russia-zil-screws-you-273231.php The US made one of these but I couldn't find any file footage. The videos are slow to load but do work eventually.

hi guys. I need some basic information about a pump that will be able to transport a nickel slurry up around 1-2m high. the mass flow rate of the slurry is 27 kg/s with a density of 1218 kg/m^3. the temperature of the slurry is 25 deg c. What is the best type of pump to use in this...

The Reynolds Transport theorem (RTT) is usually applied to derive the conservation of mass, momentum and energy in a fluid. But when I try to apply the RTT to other physical quantities, I get weird results. Can anyone see where I'm going wrong? As a simple example, take the physical...

Hi everyone, I am working on a school project and have a question for you all. :) I want to build a modular block that receives, transmites and emites light. http://img292.imageshack.us/img292/8446/untitled1st6.png My main idea is installing a solarpanel/lux receiver just above a room...

i need some help. i am supposed to design a vehicle that is powered only by one standard rubber band to transport an egg to the greatest possible horizontal displacement without breaking the egg. the vehicle can't have any rotating parts. must be constructed from basic parts (ie not...

Hi all! I am confused about the theorem quite much. The theorem says that the time rate of change of a property of a system is equal to the local rate of such property in a control volume plus the efflux of the respective intensive property across its control surface. I am wondering the...

Can anyone hepl me with this?I need some web resource,to start learning from scratch.

need ideas for a contraption that will transport up to 10L of water across a 3 meters on a counter surface. Further Design Considertions: No kits or animals may be used. Propulsion device that you design make must made from simple compoents such as springs, elastics ect. Device may...

Consider a point in space r(vector) where the flux is isotropic; i.e., equal numbers of neutrons move into solid angles d(omega) about every direction omega. a) Show that the net current J(r) is zero b) Show that the magnitude of the current in any direction is just one quarter of the scalar...

hi all! I am not a physics but enginereing major. I am confusing about what's going on with heat tranport in micro- scales. I encounter terms like phonon-electron interaction, electron gas, lattice etc.. What exactly is a phonon? does it posses mass? What is electron gas? Could anyone...

So, I understand in order to evaluate the proper "derivative" of a vector valued function on a curved spacetime manifold, it is necessary to address the fact that the tangent space of the manifold changes as the function moves infinitesimally from one point to another. Therefore, you cannot just...

i don't know where to put this so feel free to move it: I wolud like to discuss ways of Faster than light transport using singularity based forms. (not in reality, only good ways of doing it) thers always the basic one of: ship> }-----------worm hole----------{ but what about...

Why for any material, the number of ion transfers plus electron transfers equal 1?

I have come across the Reynolds Transport Theorm in my study of Fluid Dynamics, and it's a very powerful tool. \frac {DB_{sys}}{Dt} = \frac{ \delta}{\delta t} \int_{cv} \rho b dV + \int_{cs} \rho b \vec {V} \cdot \hat {n} dA Where B is any extensive property of the system, and b is any...

The IC engine has evolved all most to its limits of mph, mpg reliability, electric vehicles are still on the horizon, where is the future in PT?

I'm reading about bundes and connections but I cannot get past a little problem involving path-ordered exponentials. I hope someone can help me out. I'll try to state the problem as well as possible with plain text LaTeX. My question is just this: How does the the integral (of a general...

I had planned to use spherical tyres for my engg. project on a robotic transport vehicle, but I'm stumped on how to get it done. Magnetic force could be an answer but monopoles are not possible...i'm stumped...Could someone provide me the answer:??:bugeye: thethi.hs@gmail.com

How do deadly chemicals like Cyanide, block the electron tranport sytem??

I have a doubt... Hi, I want to know, why do we use tanks with cylinder forms for fuel transportation and not with another geometric form, like a 3D rectangle (i don't know the english word for it... :smile:) ? thanks...

I am looking at the Fermi-Walker transport of a tetrad transported by an observer in circular motion in Minkowski space. The 0-component of the tetrad should be the 4-velocity of the observer, which should therefore satisfy the FWT DE, but I'm finding that it is equal to the negative of what it...

Imagine a non-rotating particle, one with zero angular momentum. Attach a tetrad of orthonormal vectors to the particle. Imagine that we accelerate the particle via a force through it's center of mass, so that it follows some curve through space-time parametreized as x^i(\tau) while...

In quantum systems/domain, the transporting of information from two locations, say A to B is the basis of all quantum connective logistic processes. What process, is available for the transport of information, without altering the information, surely if your moving information, you are...

hi, i am trying to show that the amount by which a vector is rotated by parallel transport around a triangle whose sides are arcs of great circles equals the excess of the sum of the angles over 180 degrees. this is what i have found out so far call the angles of the triangle (assuming...

Transport across cell membranes... I was reading my textbook and it said, "Fat-soluble molecules, such as glycerol, can diffuse through the membrane easily. They dissolve in the phospholipid bilayer and pass through it in the direction of the concentration gradient, from a high concentration to...

I learned that there exists a difference between Lie transport and parallel transport and what that difference is in differential geometry, but I'm getting all confused again when I read the explanation given in the 'intro to differential forms' thread (below). (posted by jeff) How do we do...

I have two problems for homework that I just can't seem to figure out. Can someone please help me?! Thanks. 1) A jet transport has a weight of 2.97 x 106 N and is at rest on the runway. The two rear wheels are 17 m behind the front wheel, and the plane's center of gravity is 13.1 m behind the...

Greetings. According to my textbook (again, this might not be really accurate because of translation): Now, here is my question : If proteins are just molecules (big ones i guess), how do they 'know' what the cell needs at a certain time (to let it into the cell) ? Thanks in advance.

Ok, awfully long subject, but its an attention getter. Anyhow, my friends and I have been wanting to build small, 1 - 2 seater transport vehicles. I've got some basics on my ideas, hoping to get as light of a vehicle as possible, while meeting modern safety and emmission standards. So for...