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Physics

Questions tagged [stability]

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Stability theory addresses the stability of potentials, solutions of differential equations, and of trajectories of dynamical systems under small perturbations of initial conditions.

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9votes
2answers
612views

I am a highly interested layperson in Germany focusing on the fundamental principles that govern our everyday reality.I have a specific question regarding the permanence of the basic forces of ...
0votes
0answers
54views

I want to know the exact answer, which has most stable nucleus iron 56 or Nickel 62
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1answer
150views

If weak nuclear force didn't exist, what would be the heaviest stable theoretically stable isotope with equal protons and Neutrons? For our universe the heaviest such isotope is calcium 40, but most ...
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1answer
78views

I've had a look on the problem of a ball on a rotating circular track where the ball reaches a stable position at a fixed height that depends on the angular velocity and radius of the track only.For ...
1vote
0answers
79views

Consider Da Vinci's famous "boltless" bridge. (See image below*) Consider in particular an implementation with a significant 'arc', i.e. both ends start with a significant incline.How to ...
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96views

In Isaac Newton’s formulation, gravitational force decays as$$F \propto \frac{1}{r^2}$$which explains planetary motion through Kepler’s laws. Newton effectively treated “weight” as the manifestation ...
0votes
0answers
77views

Suppose we have a unidirectional velocity field, $\vec{u}=\left<0,u_\theta,0\right>$ incylindrical coordinates, whose azimuthal velocity is found by Navier-Stokes (negating advection, $\vec{u}\...
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My partner and I got into a debate about deadlift bar length and how she finds it less stable and more difficult to deadlift using a full length barbell with standard weight plates than with one of ...
8votes
0answers
2kviews

I was surprised to find myself in a traffic jam on a highway (it's a densely populated city). If we think of vehicles on a highway as particles flowing in a pipe, when the inflow exceeds outflow the ...
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0answers
134views

Measurements of the Higgs and top mass allow us to establish constraints on the instability scale at which the Higgs potential starts to become negative, or, said similarly, meaning that there exists ...
6votes
3answers
1kviews

Consider the following trajectory$$\dot{x}(t) = 1-\frac{x(t)^2}{x^2_0}.$$The solution to the above is as follows$$x(t) = x_0\coth\left[x_0t+\coth^{-1}\left(\frac{x_i}{x_0}\right)\right] \quad x >...
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0answers
128views

I've searched a little bit on this site to find:(a) What does it mean for the Hamiltonian to not be bounded from below?(b) Why should energy have a lower bound but not an upper bound?(c) ...
1vote
0answers
89views

In Higgs mass and vacuum stability in the Standard Model at NNLO, Eq. 52 gives the effective potential for the Higgs field as: $$\lambda_{\text{eff}}(h) = e^{4\Gamma(h)} \left\{ \lambda(h) + \frac{1}{(...
1vote
0answers
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The study of many-body systems with attractive interaction, like those describing the matter we have around us, lead to prove their stability (see e.g. Dyson, Freeman J., and Andrew Lenard. "...
2votes
1answer
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Take an asymmetrical object and spin it in space and eventually it will flip on its own. A perfect sphere doesn’t have to worry about this, however the Earth is NOT a perfect sphere. My question is, ...

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