scholarly journals Equilibrium states and zero temperature limit on topologically transitive countable Markov shifts

2018 ◽  
Vol 370 (12) ◽  
pp. 8451-8465 ◽  
Author(s):  
Ricardo Freire ◽  
Victor Vargas
Keyword(s):  
Temperature Limit ◽  
Equilibrium States ◽  
Zero Temperature ◽  
Topologically Transitive ◽  
Markov Shifts ◽  
Countable Markov Shifts

scholarly journals Dissipation of Quantum Turbulence in the Zero Temperature Limit

2007 ◽  
Vol 99 (26) ◽  
Author(s):  
P. M. Walmsley ◽  
A. I. Golov ◽  
H. E. Hall ◽  
A. A. Levchenko ◽  
W. F. Vinen
Keyword(s):  
Quantum Turbulence ◽  
Temperature Limit ◽  
Zero Temperature

scholarly journals Strong magnon–photon coupling with chip-integrated YIG in the zero-temperature limit

2021 ◽  
Vol 119 (3) ◽  
pp. 033502
Author(s):  
Paul G. Baity ◽  
Dmytro A. Bozhko ◽  
Rair Macêdo ◽  
William Smith ◽  
Rory C. Holland ◽  
...  
Keyword(s):  
Temperature Limit ◽  
Zero Temperature ◽  
Photon Coupling

scholarly journals Fundamental dissipation due to bound fermions in the zero-temperature limit

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
S. Autti ◽  
S. L. Ahlstrom ◽  
R. P. Haley ◽  
A. Jennings ◽  
G. R. Pickett ◽  
...  
Keyword(s):  
Critical Velocity ◽  
Ground State ◽  
Bound States ◽  
Bound State ◽  
Temperature Limit ◽  
Pair Breaking ◽  
Zero Temperature ◽  
Andreev Bound States ◽  
Macroscopic Object

Abstract The ground state of a fermionic condensate is well protected against perturbations in the presence of an isotropic gap. Regions of gap suppression, surfaces and vortex cores which host Andreev-bound states, seemingly lift that strict protection. Here we show that in superfluid 3He the role of bound states is more subtle: when a macroscopic object moves in the superfluid at velocities exceeding the Landau critical velocity, little to no bulk pair breaking takes place, while the damping observed originates from the bound states covering the moving object. We identify two separate timescales that govern the bound state dynamics, one of them much longer than theoretically anticipated, and show that the bound states do not interact with bulk excitations.

scholarly journals Electromagnetic instability and Schwinger effect in the Witten–Sakai–Sugimoto model with D0–D4 background

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Wenhe Cai ◽  
Kang-le Li ◽  
Si-wen Li
Keyword(s):  
Phase Transition ◽  
Decay Rate ◽  
Temperature Limit ◽  
Zero Temperature ◽  
Vacuum Decay ◽  
Constant Electromagnetic Field ◽  
Schwinger Effect ◽  
Electromagnetic Instability ◽  
Probe Brane ◽  
Chiral Potential

Abstract Using the Witten–Sakai–Sugimoto model in the D0–D4 background, we holographically compute the vacuum decay rate of the Schwinger effect in this model. Our calculation contains the influence of the D0-brane density which could be identified as the $$\theta $$θ angle or chiral potential in QCD. Under the strong electromagnetic fields, the instability appears due to the creation of quark–antiquark pairs and the associated decay rate can be obtained by evaluating the imaginary part of the effective Euler–Heisenberg action which is identified as the action of the probe brane with a constant electromagnetic field. In the bubble D0–D4 configuration, we find the decay rate decreases when the $$\theta $$θ angle increases since the vacuum becomes heavier in the present of the glue condensate in this system. And the decay rate matches to the result in the black D0–D4 configuration at zero temperature limit according to our calculations. In this sense, the Hawking–Page transition of this model could be consistently interpreted as the confined/deconfined phase transition. Additionally there is another instability from the D0-brane itself in this system and we suggest that this instability reflects to the vacuum decay triggered by the $$\theta $$θ angle as it is known in the $$\theta $$θ-dependent QCD.

scholarly journals On the existence of maximizing measures for irreducible countable Markov shifts: a dynamical proof

2013 ◽  
Vol 34 (4) ◽  
pp. 1103-1115 ◽  
Author(s):  
RODRIGO BISSACOT ◽  
RICARDO DOS SANTOS FREIRE
Keyword(s):  
Probability Measure ◽  
Bounded Variation ◽  
Finite Alphabet ◽  
Markov Shift ◽  
Positive Real ◽  
Shift Space ◽  
Markov Shifts ◽  
Maximizing Measure ◽  
Full Shift ◽  
Countable Markov Shifts

AbstractWe prove that if ${\Sigma }_{\mathbf{A} } ( \mathbb{N} )$ is an irreducible Markov shift space over $ \mathbb{N} $ and $f: {\Sigma }_{\mathbf{A} } ( \mathbb{N} )\rightarrow \mathbb{R} $ is coercive with bounded variation then there exists a maximizing probability measure for $f$, whose support lies on a Markov subshift over a finite alphabet. Furthermore, the support of any maximizing measure is contained in this same compact subshift. To the best of our knowledge, this is the first proof beyond the finitely primitive case in the general irreducible non-compact setting. It is also noteworthy that our technique works for the full shift over positive real sequences.

LIMITATIONS ON THE STATISTICAL DESCRIPTION OF BLACK HOLES

1991 ◽  
Vol 06 (26) ◽  
pp. 2353-2361 ◽  
Author(s):  
JOHN PRESKILL ◽  
PATRICIA SCHWARZ ◽  
ALFRED SHAPERE ◽  
SANDIP TRIVEDI ◽  
FRANK WILCZEK
Keyword(s):  
Elementary Particle ◽  
Black Holes ◽  
Temperature Limit ◽  
Zero Temperature ◽  
Charged Black Holes ◽  
Thermal Object ◽  
Particle Interpretation

We argue that the description of a block hole as a statistical (thermal) object must break down as the extreme (zero-temperature) limit is a approached, due to uncontrollable thermodynamic fluctuatations. For the recently discovered charged black holes, the analysis is significantly different, but again indicates that a statistical decription of the extreme hole is inappropriate. These holes invite a more normal elementary particle interpretation than is possible for Reissner-Nordström hole.

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