All Questions
27
questions
2
votes
1
answer
127
views
Mathematica package for validating effective string theory solution
I am asking for Mathematica package that given an input of:
symmetric matrix $G_{\mu\nu}$, antisymmetric matrix $B_{\mu\nu}$ and a scalar function $\Phi$
will check whether it is a solution to the one-...
3
votes
1
answer
213
views
How to create an interactive Poincare section from the given code?
Here we discussed Poincare section for perturbed string model taken from the paper Chaotic dynamics of a suspended string
in a gravitational background with magnetic field. We try to reproduce some ...
- 2,433
1
vote
1
answer
110
views
Linearizing equations of motion
I am given the equations of motion:
$$\dot{r} = f(r)p_r,$$
$$\dot{p_r} = -\frac{V'(r)}{2f(r)}-\frac{f'(r){p_r}^2}{2}+\frac{V(r)-E^2}{2f^2(r)}f'(r)$$
Along with the conditions that $$E^2-V(r_0)=V'(r_0)=...
- 2,433
2
votes
0
answers
122
views
Tracing the phases (i.e. the minima) of a potential
Is there a Mathematica package to trace the minima of a potential as a function of some parameter, returning its phase structure?
Working with particle physics models (in the context of cosmology and ...
- 21
5
votes
1
answer
322
views
Solving Coupled nonlinear Differential Equations For Eigenvalue And Eigen functions
I tried to solve coupled nonlinear differential equations from this paper https://sci-hub.hkvisa.net/10.1016/j.jcp.2019.109058 to see eigenvalues and eigenfunctions in different dimensions. At first, ...
- 341
12
votes
1
answer
643
views
Solving Stochastic Gross-Pitaevskii equation
I am trying to solve the Stochastic Gross-Pitaevskii equation from this paper https://arxiv.org/pdf/1409.0146.pdf. But I have no idea how to solve adding a noise term.
I like to see the wave function ...
- 341
3
votes
1
answer
327
views
Solving 3D Nonlinear Integral Partial Differential Equation
I am trying to solve Equation number (1.2) numerically in MATHEMATICA. This equation is solved in the papers https://arxiv.org/pdf/2205.05193.pdf, https://arxiv.org/pdf/2202.13264.pdf, and https://...
- 341
2
votes
1
answer
224
views
Solving 2D Coupled Nonlinear SO Coupled Equation
I am trying to solve coupled nonlinear SO coupled equations in 2D from the following two papers https://arxiv.org/pdf/2105.08849.pdf and https://arxiv.org/pdf/2109.00491.pdf. They have given an input ...
- 341
2
votes
1
answer
185
views
Lyapunov exponents at a fixed point
I am trying to find the Lyapunov exponents at a fixed point as given in the paper here(page 14). The code that I have used till now is given below:
...
- 2,433
2
votes
1
answer
189
views
Solving logarithmic 2D Nonlinear GPE Equation
I am trying to solve the logarithmic 2D Nonlinear GPE Equation from this paper https://arxiv.org/pdf/1801.10274.pdf. But failed to get the ground state solution and vortices. I tried to solve in ...
- 341
3
votes
1
answer
311
views
Convergence plot of Lyapunov exponents
I am trying to reproduce the convergence plot of the four Lyapunov exponents for a string from this paper (page 12, figure 7).
The code that I have used till now to find the equations is given below:
<...
- 2,433
11
votes
2
answers
792
views
Methods of Numerically Finding Function Minimizing Functional
Say we have some functional like the following: $H = (\partial_yf(y))^2 -w(y) f(y)^2 +f(y)^4/2$. This is the functional for the Gross Pitaevskii equation. Lets say $w(y)$, the trapping potential in ...
- 341
1
vote
2
answers
67
views
need dimension of solution space of system of non-linear complex equations
I've been trying to do this in Mathematica for several days but I'm getting almost nowhere. I need to know the dimension of the solution space of each of the two systems of nonlinear complex equations ...
- 11
1
vote
1
answer
137
views
-1
votes
1
answer
207
views
Problem with Lagrangian and Matrix Calculus in Mathematica
Continuing the questions:
Lagrangian of three-mass system with Mathematica
Equations of motion for two-mass torsional oscillator with the gear train
Derivation of equations of motion for a multi-body ...
- 2,444