The Heat Distribution of the Underdamped Langevin Equation
Abstract
In Stochastic Thermodynamics, heat is a random variable with a probability distribution associated. Studies of the distribution of heat are mostly in the overdamped regime and in one dimension. Here we solve the heat distribution in the underdamped regime for three different cases: the free particle, the linear potential, and the harmonic potential. All of them in arbitrary dimensions. The results are exact and generalize known results in the literature.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2021
- DOI:
- 10.48550/arXiv.2102.09115
- arXiv:
- arXiv:2102.09115
- Bibcode:
- 2021arXiv210209115P
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 16 pages, 5 figures