A Theory for Spontaneous Mach Stem Formation in Reacting Shock Fronts, I. The Basic Perturbation Analysis

AbstractWe report the results of CO J=l—+0 mapping of portions of the blue outflow lobe of L1551 with ~ 7” (N-S) × 4” (E-W) resolution, obtained with the 3-element OVRO millimeter array. Comparison of our interferometer mosaic with lower resolution single-dish data shows that we resolve the strongest single-dish emission regions into filamentary structures, such as are characteristic of shock fronts mapped via their near-infrared H2 emission in other outflow sources.

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Evolution of nonlinear stationary formations in a quantum plasma at finite temperature

Zeitschrift für Naturforschung A ◽

10.1515/zna-2020-0328 ◽

2021 ◽

Vol 76 (4) ◽

pp. 329-347

Author(s):

Swarniv Chandra ◽

Chinmay Das ◽

Jit Sarkar

Keyword(s):

Finite Temperature ◽

Acoustic Waves ◽

Quantum Plasma ◽

Quantum Hydrodynamics ◽

Stationary Structure ◽

Gradual Evolution ◽

Layer Structures ◽

Model Equations ◽

Electron Acoustic ◽

Shock Fronts

Abstract In this paper we have studied the gradual evolution of stationary formations in electron acoustic waves at a finite temperature quantum plasma. We have made use of Quantum hydrodynamics model equations and obtained the KdV-Burgers equation. From here we showed how the amplitude modulated solitons evolve from double layer structures through shock fronts and ultimately converging into solitary structures. We have studied the various parametric influences on such stationary structure and also showed how the gradual variations of these parameter affect the transition from one form to another. The results thus obtained will help in the generation and structure of the structures in their respective domain. Much of the experiments on dense plasma will benefit from the parametric study. Further we have studied amplitude modulation followed by a detailed study on chaos.

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Perturbation Analysis of Quantum Reset Models

Journal of Statistical Physics ◽

10.1007/s10955-021-02752-y ◽

2021 ◽

Vol 183 (1) ◽

Author(s):

Géraldine Haack ◽

Alain Joye

Keyword(s):

Steady State ◽

Perturbation Analysis ◽

Open Quantum Systems ◽

Quantum Systems ◽

Markov Semigroup ◽

Coupling Constant ◽

Coupling Term ◽

Open Quantum ◽

Effective Dynamics ◽

A Chain

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.

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