All Questions
Tagged with computational-physicsstatistical-mechanics
142 questions
0votes
0answers
35views
How to Calculate Ground State Scaling Dimension of a Finite Critical System Which is Conformally Invariant?
Suppose I have a 1D finite chain of a critical system (e.g., the quantum Potts model or Ising model). By introducing a conformally invariant boundary condition to the system, specific primary fields ...
2votes
0answers
123views
Checking the Cardy formula for a critical Ising model
The Cardy Formula is a fundamental result in 2D conformal field theory which predicts the entropy (equivalently, density of states). I am interested in understanding how to extract conformal data from ...
- 911
2votes
1answer
198views
What is the exact ground state energy of the 1D finite XY model in open boundary condition?
From what I understand, the XY model is exactly mapped to free fermions tight-binding approximation. I follow this lecture notes to find the formula for ground state of the model to be $$ k = \frac{2\...
- 720
0votes
0answers
57views
Calculation of boson number density using Bose-Einstein statistics
I need help with the Bose-Einstein statistics for calculating the boson number density. I am trying to perform the calculations for a given chemical potential, $\mu>0$, and I want to integrate from ...
- 606
2votes
2answers
227views
Neglected Term in the energy gradient for Variational Monte-Carlo
I'm looking into variational Monte-Carlo to determine the optimal variational parameter that corresponds to the ground state of a Hamiltonian. In general I am interested in tight binding models where ...
- 463
1vote
1answer
49views
What are some common ways to simulate a set of $N$ identical oblate spheroids in a laminar flow?
I was wondering if there is a software or even a general theoretical framework to implement on my own able to simulate a set of N oblate spheroids of known major and minor semi-axis in a laminar flow ...
2votes
0answers
92views
Calculating higher-order correlation functions of the Ising model
I'm trying to compute the correlation functions $<s_1...s_n>$ of specific n-spin subsets as a function of the temperature in systems with up to $N=256^2$ spins. These will be used to compute ...
1vote
0answers
32views
Any quantum Monte-Carlo algorithm for calculating the lowest eigenenergy in each symmetry sector?
Suppose we have a hamiltonian which has the parity symmetry (e.g., the Heisenberg model with the open boundary condition). Is there any quantum Monte-Carlo algorithm which can be used to calculate the ...
- 2,175
2votes
0answers
86views
Is there a proof for critical slow-down in Monte Carlo?
It is physically understood why the standard Metropolis-Hasting algorithm slows down near the critical temperature, since it doesn’t utilize the divergence of the correlation length. However, I’m ...
- 2,263
1vote
0answers
39views
Cluster Monte Carlo algorithms for $n$-body interactions
Suppose I wanted to perform a Monte-Carlo numerical simulation of an Ising-like model, with a Hamiltonian of the form $$ -\beta H = J \sum_{\langle i j \rangle} \sigma_i \sigma_j + g \sum_{ijk\ell \in\...
- 3,126
0votes
0answers
191views
Use of Binder Cumulant for Determining Critical Temperature
I am completing a computational project where I am simulating the Ising model using Monte Carlo methods, namely the Metropolis-Hastings algorithm, and the Wolff algorithm. For the Metropolis-Hastings ...
- 155
1vote
0answers
48views
Intertial finite-size effects in fluid simulations
A gradient $\nabla \rho$ in the density field $\rho$ of fluids at thermodynamic equilibrium is suppressed at a rate given by $D \nabla^{2} \rho$, allowing to measure the diffusivity $D$ of the fluid ...
2votes
0answers
48views
Hydrodynamic interactions and finite-size corrections
In molecular dynamics simulations of fluids it is known that diffusion coefficient $D$ of fluid simulated under periodic boundary conditions in a cubic box with size $L$ decays with a factor $\frac{1}{...
1vote
2answers
140views
Questions regarding a derivation in Understanding Molecular Simulation: From Algorithms to Applications, 3rd ed, pp 141-143
Recently, I've been learning molecular dynamics using the third edition of the book, Understanding molecular simulation: from algorithms to applications. During reading your book, I have encountered ...
- 23
1vote
1answer
95views
Fluctuations of the center of mass of a confined fluid?
Consider a fluid at thermal equilibrium confined between two fixed parallel walls along the $x$-direction and with periodic boundaries in the $xy$-directions. Without the walls, the momentum of the ...
