23,941 research outputs found
Thermodynamic potentials and Thermodynamic Relations in Nonextensive Thermodynamics
The generalized Gibbs free energy and enthalpy is derived in the framework of
nonextensive thermodynamics by using the so-called physical temperature and the
physical pressure. Some thermodynamical relations are studied by considering
the difference between the physical temperature and the inverse of Lagrange
multiplier. The thermodynamical relation between the heat capacities at a
constant volume and at a constant pressure is obtained using the generalized
thermodynamical potential, which is found to be different from the traditional
one in Gibbs thermodynamics. But, the expressions for the heat capacities using
the generalized thermodynamical potentials are unchanged.Comment: 7 page
NMSSM with generalized deflected mirage mediation
We propose to generate a realistic soft SUSY breaking spectrum for
Next-to-Minimal Supersymmetric Standard Model (NMSSM) with a generalized
deflected mirage mediation scenario, in which additional Yukawa and gauge
mediation contributions are included to deflect the renormalization group
equation(RGE) trajectory. Based on the Wilsonian effective action obtained by
integrating out the messengers, the NMSSM soft SUSY breaking spectrum can be
given analytically at the messenger scale. We find that additional
contributions to can possibly ameliorate the stringent constraints from
the electroweak symmetry breaking (EWSB) and 125 GeV Higgs mass. Constraints
from dark matter and fine-tuning are also discussed. The Barbieri-Giudice
fine-tuning measure and electroweak fine-tuning measure in our scenario can be
as low as , which possibly indicates that our scenario is natural.Comment: Published version, minor changes; 28 pages, 6 figure
Real-time hard-thermal-loop gluon self-energy in a semiquark-gluon plasma
In the real time formalism of the finite-temperature field theory, we compute
the one-loop gluon self-energy in a semi-quark-gluon plasma (QGP) where a
background filed has been introduced for the vector potential,
leading to a non-trivial expectation value for the Polyakov loop in the
deconfined phase. Explicit results of the gluon self-energies up to the
next-to-leading order in the hard-thermal-loop approximation are obtained. We
find that for the retarded/advanced gluon self-energy, the corresponding
contributions at next-to-leading order are formally analogous to the well-known
result at where the background field modification on the Debye
mass is entirely encoded in the second Bernoulli polynomials. The same feature
is shared by the leading order contributions in the symmetric gluon self-energy
where the background field modification becomes more complicated, including
both trigonometric functions and the Bernoulli polynomials. These contributions
are non-vanishing and reproduce the correct limit as .
In addition, the leading order contributions to the retarded/advanced gluon
self-energy and the next-to-leading order contributions to the symmetric gluon
self-energy are completely new as they only survive at . Given
the above results, we explicitly verify that the Kubo-Martin-Schwinger
condition can be satisfied in a semi-QGP with non-zero background field.Comment: final version published in PR
ContraNorm: A Contrastive Learning Perspective on Oversmoothing and Beyond
Oversmoothing is a common phenomenon in a wide range of Graph Neural Networks
(GNNs) and Transformers, where performance worsens as the number of layers
increases. Instead of characterizing oversmoothing from the view of complete
collapse in which representations converge to a single point, we dive into a
more general perspective of dimensional collapse in which representations lie
in a narrow cone. Accordingly, inspired by the effectiveness of contrastive
learning in preventing dimensional collapse, we propose a novel normalization
layer called ContraNorm. Intuitively, ContraNorm implicitly shatters
representations in the embedding space, leading to a more uniform distribution
and a slighter dimensional collapse. On the theoretical analysis, we prove that
ContraNorm can alleviate both complete collapse and dimensional collapse under
certain conditions. Our proposed normalization layer can be easily integrated
into GNNs and Transformers with negligible parameter overhead. Experiments on
various real-world datasets demonstrate the effectiveness of our proposed
ContraNorm. Our implementation is available at
https://github.com/PKU-ML/ContraNorm.Comment: ICLR 202
Proof of the deadlock-freeness of ALD routing algorithm
This is the appendix to the paper Load-Balanced Adaptive Routing for Torus Networks to provide a detailed, formal proof of the deadlock-freeness of the routing algorithm proposed in the paper. The paper is submitted to Electronics Letters, and the abstract of which is as follows:
A new routing algorithm for torus interconnection networks to achieve high throughput on various traffic patterns, Adaptive Load-balanced routing with cycle Detection (ALD), is presented. Instead of the -channels scheme adopted in a few recently proposed algorithms of the same category, a cycle detection scheme is employed in ALD to handle deadlock, which leads to higher routing adaptability. Simulation results demonstrate that ALD achieves higher throughput than the recently proposed algorithms on both benign and adversarial traffic patterns
Analysis On Electrostatic Discharge Protection of Electronics Dictionary
The ESD protection for an electronic dictionary was studied, and detailed countermeasures are presented. By the presented steps against the ESD, the electronic dictionary can satisfy the requirement of 4 kV ESD in the mode of contact discharge, 8 kV ESD in the mode of air discharge. Key words: electrostatic discharge; electronic dictionary; protection; filter; electrostatic interferenc
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