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Related Experiment Video

Updated: Jun 12, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Conformal invariance in (2+1)-dimensional stochastic systems.

L Moriconi¹, M Moriconi

¹Instituto de Física, Universidade Federal do Rio de Janeiro, CP 68528, 21945-970 Rio de Janeiro, RJ, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 21, 2010

Summary

This summary is machine-generated.

This study presents a general solution for stochastic dynamics, yielding a conformal energy-momentum tensor for (2+1)-dimensional systems. The method, applied to the Kardar-Parisi-Zhang model, confirms its conformal fixed point.

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Evolution of Staircase Structures in Diffusive Convection

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Published on: September 5, 2018

Area of Science:

Statistical Physics
Quantum Field Theory
Non-equilibrium Phenomena

Background:

Stochastic partial differential equations model phase transitions and critical out-of-equilibrium phenomena.
Many (2+1)-dimensional systems are described by conformal field theories.

Purpose of the Study:

To develop a general solution for translation Ward identities within the Martin-Siggia-Rose formalism.
To derive a putative conformal energy-momentum tensor for (2+1)-dimensional stochastic systems.
To apply and validate the method using the Kardar-Parisi-Zhang model.

Main Methods:

Utilizing the Martin-Siggia-Rose field-theoretical formalism for stochastic dynamics.
Solving translation Ward identities to obtain a conformal energy-momentum tensor.
Employing replicated fields to overcome dimensional reduction issues in correlator computations.
Performing perturbative analysis in the ultraviolet region of the Kardar-Parisi-Zhang model.

Main Results:

A general solution for translation Ward identities is advanced.
A putative conformal energy-momentum tensor is derived.
Dimensional reduction issues are bypassed using replicated fields.
The Kardar-Parisi-Zhang model is shown to possess a c=1 conformal fixed point.

Conclusions:

The developed method provides a consistent framework for analyzing (2+1)-dimensional stochastic systems.
The approach successfully identifies conformal properties, as demonstrated by the Kardar-Parisi-Zhang model.
This work offers a pathway to understanding critical phenomena in non-equilibrium systems.