The Heat Distribution of the Underdamped Langevin Equation
arXiv:2102.09115 · doi:10.1016/j.physa.2023.128568
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.
arXiv comment16 pages, 5 figures
References in corpus (32)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- A single-atom heat engine
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Brownian Carnot engine
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Work fluctuation theorems for harmonic oscillators
- Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments
- Anomalous thermodynamics at the micro-scale
- Fluctuation theorems for harmonic oscillators
- Rules of calculus in the path integral representation of white noise Langevin equations: the Onsager-Machlup approach
- Underdamped stochastic heat engine at maximum efficiency
- Heat and work fluctuations for a harmonic oscillator
- Probability density functions of work and heat near the stochastic resonance of a colloidal particle
- Entropy production and fluctuation theorems under feedback control: the molecular refrigerator model revisited
- Inertial Effects in Nonequilibrium Work Fluctuations by a Path Integral Approach
- Jarzynski Equality, Crooks Fluctuation Theorem and the Fluctuation Theorems of Heat for Arbitrary Initial States
- Building an irreversible Carnot-like heat engine with an overdamped harmonic oscillator
- Stochastic thermodynamics of Langevin systems under time-delayed feedback control: II. Nonequilibrium steady-state fluctuations
- Entropic anomaly and maximal efficiency of microscopic heat engines
- Heat fluctuations in a harmonic chain of active particles
- Heat leakage in overdamped harmonic systems
- Functionals in stochastic thermodynamics: how to interpret stochastic integrals
- Heat distribution function for motion in a general potential at low temperature
- Heat fluctuations of Brownian oscillators in nonstationary processes: fluctuation theorem and condensation transition
- The Heat Distribution in a Logarithm Potential
- Path integrals and nonlinear optical tweezers
- Heat and work distributions for mixed Gauss-Cauchy process
- Work and heat distributions for a Brownian particle subjected to an oscillatory drive
- Heat fluctuations in equilibrium
- Heat fluctuations for underdamped Langevin dynamics
- Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle
Cited by in corpus (5)
- Stochastic energetics of a colloidal particle trapped in a viscoelastic bath
- Energy fluctuations of a Brownian particle freely moving in a liquid
- Brownian Fluctuations of a non-confining potential
- Heat statistics in the relaxation process of the Edwards-Wilkinson elastic manifold
- Heat Distribution of Relativistic Brownian Motion