# Supersymmetry in stochastic processes with higher-order time derivatives

@article{Kleinert1997SupersymmetryIS, title={Supersymmetry in stochastic processes with higher-order time derivatives}, author={Hagen Kleinert and Sergei V. Shabanov}, journal={Physics Letters A}, year={1997}, volume={235}, pages={105-112} }

## 10 Citations

Kramers Equation and Supersymmetry

- Physics
- 2005

Hamilton’s equations with noise and friction possess a hidden supersymmetry, valid for time-independent as well as periodically time-dependent systems. It is used to derive topological properties of…

Fokker-Planck and Langevin Equations from the Forward-Backward Path Integral

- Physics, Mathematics
- 2001

Abstract Starting from a forward-backward path integral of a point particle in a bath of harmonic oscillators, we derive the Fokker–Planck and Langevin equations with and without inertia. Special…

Supersymmetric Langevin equation to explore free-energy landscapes.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

The recently discovered supersymmetric generalizations of the Langevin dynamics and Kramers equation can be utilized for the exploration of free-energy landscapes of systems whose large time-scale…

Introduction to Supersymmetric Theory of Stochastics

- PhysicsEntropy
- 2016

The possibility of constructing a unified theory of DLRO has emerged recently within the approximation-free supersymmetric theory of stochastics (STS), which may be interesting to researchers with very different backgrounds because the ubiquitous DLRO is a truly interdisciplinary entity.

Deterministic and stochastic dynamics in spinodal decomposition of a binary system

- Computer Science
- 2009

Numeric modelling shows that the hyperbolic evolution leads to sharper boundary between two structures of a decomposed system in comparison with prediction of parabolic equation given by the theory of Cahn and Hilliard.

Topological Field Theory and Computing with Instantons

- PhysicsArXiv
- 2016

TFTs of another type, specifically the gauge-field-less Witten-type TFTs known as topological sigma models, describe the recently proposed digital memcomputing machines (DMMs) - engineered dynamical systems with point attractors being the solutions of the corresponding logic circuit that solves a specific task.

Grandes déviations, physique statistique et systèmes dynamiques

- Philosophy
- 2007

La theorie des grandes deviations traite des comportements asymptotiques d'evenements rares. C'est le langage moderne de la physique statistique d'equilibre, qui semble offrir un cadre naturel pour…

Stratonovich-Ito integration scheme in ultrafast spin caloritronics

- Physics
- 2020

The magnonic spin Seebeck effect is a key element of spin caloritronics, a field that exploits thermal effects for spintronic applications. Early studies were focused on investigating the…

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