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2020
As a prelude, some of the important properties of the Maxwellian distribution of velocities in thermal equilibrium are highlighted. The basic equation of motion of a particle in a fluid incorporating the effects of random molecular collisions, the Langevin equation, is introduced.
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As a prelude, some of the important properties of the Maxwellian distribution of velocities in thermal equilibrium are highlighted. The basic equation of motion of a particle in a fluid incorporating the effects of random molecular collisions, the Langevin equation, is introduced.
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2014
In this chapter, we study the Langevin equation and the associated Fokker –Planck equation. In Sect. 6.1, we introduce the equation and study some of the main properties of the corresponding Fokker–Planck equation. In Sect. 6.2 we give an elementary introduction to the theories of hypoellipticity and hypocoercivity. In Sect.
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In this chapter, we study the Langevin equation and the associated Fokker –Planck equation. In Sect. 6.1, we introduce the equation and study some of the main properties of the corresponding Fokker–Planck equation. In Sect. 6.2 we give an elementary introduction to the theories of hypoellipticity and hypocoercivity. In Sect.
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1997
The generalized Langevin equation describes processes in a mechanical system with both deterministic and random forces which have comparable magnitudes (i.e., neither the deterministic nor random part can be neglected) and the random force is a transformed white noise. Examples of such processes are well known in physics.
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The generalized Langevin equation describes processes in a mechanical system with both deterministic and random forces which have comparable magnitudes (i.e., neither the deterministic nor random part can be neglected) and the random force is a transformed white noise. Examples of such processes are well known in physics.
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Generalized Langevin Equations
2012Diese Arbeit ist wie folgt aufgebaut: Das erste Kapitel stellt verallgemeinerte Langevingleichungen als eine Familie von stochastischen Differential-Integralgleichungen vor, die mittels des Zwanzigschen Projektionsformalismus gewonnen werden. Ausgangspunkt ist ein statistisch-mechanisches Modell, das die Wechselwirkung eines makroskopischen Systems mit
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Complex Langevin and other approaches to the sign problem in quantum many-body physics
Physics Reports, 2021exaly
Langevin and Trap‐Assisted Recombination in Phosphorescent Organic Light Emitting Diodes
Advanced Functional Materials, 2014Jeong-Hwan Lee +2 more
exaly

