PARITY-VIOLATING ANOMALY FROM THE FOKKER-PLANCK EQUATION

1991 ◽  
Vol 06 (02) ◽  
pp. 123-128
Author(s):  
G. NARDULLI ◽  
L. TEDESCO
Keyword(s):  
Langevin Equation ◽  
Gauge Theories ◽  
Planck Equation ◽  
Quantization Scheme ◽  
Stochastic Quantization ◽  
Fokker Planck Equation ◽  
Fokker Planck

We compute parity-violating anomaly in gauge theories with odd number of dimensions using an approach based on the effective Fokker-Planck equation in the stochastic quantization scheme. We find results that agree with those obtained by the Langevin equation.

scholarly journals Deterministic and Stochastic Research of Cubic Population Model with Harvesting

2021 ◽  
pp. 2150023
Author(s):  
Özgür Gültekin ◽  
Çağatay Eskin ◽  
Esra Yazicioğlu
Keyword(s):  
Langevin Equation ◽  
Allee Effect ◽  
Deterministic Model ◽  
Probability Distributions ◽  
Gaussian White Noise ◽  
Quadratic Function ◽  
Planck Equation ◽  
Detailed Examination ◽  
Fokker Planck Equation ◽  
Fokker Planck

A detailed examination of the effect of harvesting on a population has been carried out by extending the standard cubic deterministic model by considering a population under Allee effect with a quadratic function representing harvesting. Weak and strong Allee effect transitions, carrying capacity, and Allee threshold change according to harvesting are first discussed in the deterministic model. A Fokker–Planck equation has been obtained starting from a Langevin equation subject to correlated Gaussian white noise with zero mean, and an Approximate Fokker–Planck Equation has been obtained from a Langevin equation subject to correlated Gaussian colored noise with zero mean. This allowed to calculate the stationary probability distributions of populations, and thus to discuss the effects of linear and nonlinear (Holling type-II) harvesting for populations under Allee effect and subject to white and colored noises, respectively.

STOCHASTIC CALCULUS AND COVARIANT AND ROTATION-INVARIANT LANGEVIN EQUATION FOR GRAVITY

1990 ◽  
Vol 05 (28) ◽  
pp. 2335-2342 ◽  
Author(s):  
RIUJI MOCHIZUKI
Keyword(s):  
Langevin Equation ◽  
Planck Equation ◽  
Stochastic Calculus ◽  
Rotation Invariant ◽  
Fokker Planck Equation ◽  
Fokker Planck

We investigate the relations among the Langevin equation, the Fokker-Planck equation, and the stochastic action, both in the sense of Ito and of Stratonovich. In the latter case we suggest a somewhat modified Langevin equation which is covariant and rotation-invariant.

scholarly journals Lévy flights and Lévy-Schrödinger semigroups

Open Physics ◽  
2010 ◽  
Vol 8 (5) ◽  
Author(s):  
Piotr Garbaczewski
Keyword(s):  
Master Equation ◽  
Langevin Equation ◽  
Probability Function ◽  
Planck Equation ◽  
Levy Process ◽  
Stationary Probability ◽  
Lévy Flights ◽  
Fokker Planck Equation ◽  
Levy Flights ◽  
Fokker Planck

AbstractWe analyze two different confining mechanisms for Lévy flights in the presence of external potentials. One of them is due to a conservative force in the corresponding Langevin equation. Another is implemented by Lévy-Schrödinger semigroups which induce so-called topological Lévy processes (Lévy flights with locally modified jump rates in the master equation). Given a stationary probability function (pdf) associated with the Langevin-based fractional Fokker-Planck equation, we demonstrate that generically there exists a topological Lévy process with the same invariant pdf and in reverse.

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