Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations
J K Bhattacharjee1,2, T R Kirkpatrick1, J V Sengers1
1Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.
Physical Review. E
|May 16, 2018
Summary
Work fluctuations differ significantly between systems with short- and long-ranged correlations. This study analyzes how magnetic fields tune these correlations in a Heisenberg ferromagnet, impacting work probability distributions and fluctuation theorems.
Area of Science:
- Statistical mechanics
- Condensed matter physics
- Quantum field theory
Background:
- Work fluctuations and probability distributions vary based on correlation range.
- Long-ranged correlations lead to broader work distributions than short-ranged ones.
- This impacts the applicability of fluctuation theorems, such as the Jarzynski fluctuation theorem.
Purpose of the Study:
- To investigate the crossover in work probability distributions.
- To analyze how tuning magnetic fields affects correlations in a Heisenberg ferromagnet.
- To elucidate changes in work distribution and fluctuations from long- to short-ranged correlations.
Main Methods:
- Utilizing a Heisenberg ferromagnet model.
- Analyzing systems below the Curie temperature.
- Tuning magnetic fields to alter correlation ranges.
Main Results:
- Demonstrating the distinct nature of work distributions in systems with differing correlation ranges.
- Quantitatively analyzing the crossover behavior of work probability distributions.
- Showing how magnetic field strength influences correlation length and work fluctuations.
Conclusions:
- The Heisenberg ferromagnet serves as an ideal system to study correlation-driven changes in work distributions.
- Understanding these changes is crucial for the application of fluctuation theorems.
- The study provides a quantitative analysis of this transition.
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