Nonlinear critical slowing down of the one-component Ginzburg-Landau field

1979 ◽  
Vol 36 (2) ◽  
pp. 179-186 ◽  
Author(s):  
R. Bausch ◽  
E. Eisenriegler ◽  
H. K. Janssen
Keyword(s):  
Critical Slowing Down ◽  
Ginzburg Landau ◽  
Slowing Down ◽  
The One

scholarly journals Order parameter profiles in a system with Neumann – Neumann boundary conditions

2018 ◽  
Vol 145 ◽  
pp. 01009 ◽  
Author(s):  
Vassil M. Vassilev ◽  
Daniel M. Dantchev ◽  
Peter A. Djondjorov
Keyword(s):  
Boundary Conditions ◽  
Order Parameter ◽  
Neumann Boundary ◽  
Elliptic Functions ◽  
Thermodynamic System ◽  
Neumann Boundary Conditions ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
The One ◽  
Field Plane

In this article we consider a critical thermodynamic system with the shape of a thin film confined between two parallel planes. It is assumed that the state of the system at a given temperature and external ordering field is described by order-parameter profiles, which minimize the one-dimensional counterpart of the standard ϕ4 Ginzburg–Landau Hamiltonian and meet the so-called Neumann – Neumann boundary conditions. We give analytic representation of the extremals of this variational problem in terms ofWeierstrass elliptic functions. Then, depending on the temperature and ordering field we determine the minimizers and obtain the phase diagram in the temperature-field plane.

scholarly journals Critical slowing-down and field-dependent paramagnetic fluctuations in the skyrmion host EuPtSi: μSR and NMR studies

2021 ◽  
Vol 104 (4) ◽  
Author(s):  
N. Higa ◽  
T. U. Ito ◽  
M. Yogi ◽  
T. Hattori ◽  
H. Sakai ◽  
...  
Keyword(s):  
Critical Slowing Down ◽  
Nmr Studies ◽  
Slowing Down ◽  
Field Dependent

scholarly journals Critical Slowing Down Exponents of Mode Coupling Theory

2012 ◽  
Vol 108 (8) ◽  
Author(s):  
F. Caltagirone ◽  
U. Ferrari ◽  
L. Leuzzi ◽  
G. Parisi ◽  
F. Ricci-Tersenghi ◽  
...  
Keyword(s):  
Mode Coupling ◽  
Critical Slowing Down ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Slowing Down

Dynamical critical slowing down in CsNiF3

1986 ◽  
Vol 60 (12) ◽  
pp. 945-949 ◽  
Author(s):  
A. Caillé ◽  
M. Poirier
Keyword(s):  
Critical Slowing Down ◽  
Slowing Down

scholarly journals Critical slowing down in circuit quantum electrodynamics

2021 ◽  
Vol 7 (21) ◽  
pp. eabe9492
Author(s):  
Paul Brookes ◽  
Giovanna Tancredi ◽  
Andrew D. Patterson ◽  
Joseph Rahamim ◽  
Martina Esposito ◽  
...  
Keyword(s):  
Quantum Electrodynamics ◽  
Quantum Circuit ◽  
Critical Slowing Down ◽  
Microwave Cavity ◽  
Many Body ◽  
Circuit Quantum Electrodynamics ◽  
Slowing Down ◽  
The Rich ◽  
First Order Phase ◽  
Shed Light

Critical slowing down of the time it takes a system to reach equilibrium is a key signature of bistability in dissipative first-order phase transitions. Understanding and characterizing this process can shed light on the underlying many-body dynamics that occur close to such a transition. Here, we explore the rich quantum activation dynamics and the appearance of critical slowing down in an engineered superconducting quantum circuit. Specifically, we investigate the intermediate bistable regime of the generalized Jaynes-Cummings Hamiltonian (GJC), realized by a circuit quantum electrodynamics (cQED) system consisting of a transmon qubit coupled to a microwave cavity. We find a previously unidentified regime of quantum activation in which the critical slowing down reaches saturation and, by comparing our experimental results with a range of models, we shed light on the fundamental role played by the qubit in this regime.

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