Work

Supersymmetric properties of one-dimensional reversible Markov generators with the links to Markov-dualities and to shape-invariance-exact-solvability

Year: 2026

Type: article

Abstract: For one-dimensional reversible diffusion process involving the force F ( x ) and the diffusion coefficient D ( x ), the continuity equation ∂ t P t ( x ) = − ∂ ∂ x J t ( x ) gives the dynamics of the probability P t ( x ) in terms of the divergence of the current J t ( x ) = F ( x ) P t ( x ) − D ( x ) ∂ ∂ x P t ( x ) = J P t ( x ) obtained from P t ( x ) via the application of the first-order differential current-operator J . So the dynamics of the probability P t ( x ) is governed by the factorized Fokker–Planck generator F = − ∂ ∂ x J , while the dynamics of the current J t ( x ) is governed by its supersymmetric partner

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ae4ba4

Author: Cécile Monthus

Institutions: Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, CEA Paris-Saclay, Institut de Physique Théorique

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

OpenAlex ID: W4415348577

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