Monte Carlo Step: Definition & Examples

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Discussion Overview

The discussion revolves around the definition of a "Monte Carlo step" (MCS) in the context of Monte Carlo simulations, particularly in relation to the Ising model. Participants seek to clarify what constitutes a single MCS and how it is measured in simulations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant asks for clarification on what is meant by one Monte Carlo step, particularly in the context of the Ising model.
  • Another participant suggests that a Monte Carlo step may refer to one time step in the simulation.
  • A further inquiry is made regarding the specifics of a time step in a Monte Carlo simulation of a 2D Ising model with a given lattice size.
  • One participant notes that the definition may depend on the desired precision of the simulation.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on the definition of a Monte Carlo step, with multiple viewpoints and uncertainties expressed regarding its meaning and implications.

Contextual Notes

Participants have not established a clear definition of a Monte Carlo step, and the discussion includes assumptions about precision and the specifics of simulation parameters that remain unresolved.

matematikuvol
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What is referred as one Monte Carlo step. In all books, papers people is written that was performed ##5 \cdot 10^{6}## MCS on all system sizes. Or the time is measured in MCS. But what is referred as one MCS? For example in MC simulation of Ising model what is a one MCS?
 
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I would expect that this is one (time) step in the simulation.
 
Suppose that problem is MC simulation of 2d Ising model with ##L^2## lattice sites. What is the one time step of that simulation?
 
Depends on the precision you want, I think.
 

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