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Two-Stroke Pumping Technique for Many-Body Systems.

Serge Galam1

  • 1CEVIPOF-Centre for Political Research, Sciences Po and CNRS, 1, Place Saint Thomas d'Aquin, 75007 Paris, France.

Entropy (Basel, Switzerland)
|February 27, 2026
PubMed
Summary
This summary is machine-generated.

A new two-stroke pumping technique (TSP) accurately estimates critical temperatures in many-body systems like the Ising model. This efficient method offers a scalable alternative to computational sampling for studying cooperative behavior.

Keywords:
Ising modelanalytical approximationscritical temperaturesociophysics

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Area of Science:

  • Statistical Mechanics
  • Computational Physics
  • Sociophysics

Background:

  • Estimating critical temperatures (Tc) in interacting many-body systems is crucial for understanding phase transitions.
  • Existing methods like Monte Carlo sampling can be computationally intensive.

Purpose of the Study:

  • Introduce a novel analytical framework, the two-stroke pumping technique (TSP), for estimating critical temperatures.
  • Apply TSP to the Ising model across various dimensions and compare its efficiency and accuracy with existing methods.

Main Methods:

  • Combined the Bethe cluster setting, Metropolis update, and Galam Majority Model.
  • Developed a two-stroke pumping technique (TSP) for analytical estimation.
  • Applied TSP to the Ising model in dimensions d=1, 2, 3, and 4.

Main Results:

  • TSP yielded critical temperatures with an excess of +0.03 from exact estimates for d=2, 3, 4.
  • Achieved the exact value of Tc=0 for d=1.
  • Analytically demonstrated the impossibility of full symmetry breaking at T=0.
  • Required significantly fewer computational resources than Monte Carlo sampling.

Conclusions:

  • TSP provides computationally efficient and transparent calculations for critical temperatures.
  • The framework is general and extendable to other discrete spin models.
  • TSP is a scalable tool for studying cooperative behavior in interacting systems.