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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Existence of phase transition for percolation using the Gaussian Free Field
高斯自由 伯努利渗透 相变存在
2023/5/8
In this talk, we prove that Bernoulli percolation on graph undergoes a non-trivial phase transition if the graph has bounded degrees and random walk on the graph has a heat kernel with rapid decay. Th...
Eating Goldstone bosons in a phase transition:A critical review of Lyre's analysis of the Higgs mechanism
gauge transformations Higgs mechanism representation symmetry
2016/5/31
In this note, I briefly review Lyre’s (2008) analysis and interpretation of the Higgs mechanism. Contrary to Lyre, I maintain that, on the proper understanding of the term, the Higgs mechanism r...
Purdue researchers observe phase transition thought impossible
Purdue researchers phase transition thought impossible
2015/11/12
An ultrapure material taken to pressures greater than that in the depths of the ocean and chilled to temperatures colder than outer space has revealed an unexpected phase transition that crosses two d...
Turbo codes: the phase transition
Turbo code noise channel disordered spin model the stability threshold
2015/8/21
Turbo codes are a very efficient method for communicating reliably through a noisy channel. There is no theoretical understanding of their effectiveness. In Ref. [1] they are mapped onto a ...
The Dynamic Phase Transition for Decoding Algorithms
Error correction coding the random structure random graph random arrangement
2015/8/21
The state-of-the-art error correcting codes are based on large random constructions (random graphs, random permutations, . . . ) and are decoded by linear-time iterative algorithms. Because of these f...
The Noise-Sensitivity Phase Transition in Compressed Sensing
Approximate Message Passing Lasso Basis Pursuit Minimax Risk over Nearly- Black Objects Minimax Risk of Soft Thresholding
2015/8/20
Consider the noisy underdetermined system of linear equations: y = Ax0 + z0, with n N measurement matrix A, n < N, and Gaussian white noise z0 N(0; 2I). Both y and A are known, both x0 and z0 are...
Phase Transition Induced Vertical Alignment of Ultrathin Gallium Phosphide Nanowire Arrays on Silicon by Chemical Beam Epitaxy
Vertical Alignment Ultrathin Gallium Phosphide Nanowire Arrays Silicon Chemical Beam Epitaxy
2016/12/2
CBE and CVD were performed in an ultra-high vacuum (UHV) system. The background pressure was kept at 1 × 10-10 mbar. The Au was deposited by MBE on a hydrogen terminated Si substrate with a surface te...
Temperature Dependence of the Raman Intensity and the Bandwidth Close to the Order-Disorder Phase Transition in NaNO3
Raman Intensity Bandwidth NaNO3
2013/1/30
We analyze the temperature dependence of the Raman intensity using the experimental data according to a power-law formula close to the order-disorder transition (Tc = 549 K) in NaNO 3. From this analy...
Subsonic phase transition waves in bistable lattice models with small spinodal region
phase transitions in lattices heteroclinic travelling waves FPU-type chains kinetic relations
2012/6/14
Phase transitions waves in atomic chains with double-well potential play a fundamental role in materials science, but very little is known about their mathematical properties. In particular, the only ...
Phase transition induced vertical alignment of ultrathin gallium phosphide nanowire arrays on silicon by chemical beam epitaxy
Biochemical engineering Green chemistry Sustainable chemistry Universities of Applied Sciences
2016/12/2
We demonstrate high-density heteroepitaxial growth of sub-10 nm diameter gallium phosphide (GaP) nanowire (NW) arrays on silicon (Si), using chemical beam epitaxy (CBE). The vertical alignment of GaP ...
Phase transition in crowd synchrony of delay-coupled multilayer laser networks
Phase transition crowd synchrony delay-coupled multilayer laser networks Chaotic Dynamics
2012/4/26
An analogy between crowd synchrony and multi-layer neural network architectures is proposed. It indicates that many non-identical dynamical elements (oscillators) communicating indirectly via a few me...
Ising model: secondary phase transition
Ising model secondary phase transition General Physics
2012/4/20
Lttice-spin phonons are considered, which make the heat capacity at the critical temperature satisfy experimental observations better. There is a BEC phase transition in an Ising model attributable to...
Disorder promotes ferromagnetism: Rounding of the quantum phase transition in Sr_{1-x}Ca_xRuO_3
Disorder promotes ferromagnetism Rounding the quantum phase transition Sr_{1-x}Ca_xRuO_3
2012/2/24
The subtle interplay of randomness and quantum fluctuations at low temperatures gives rise to a plethora of unconventional phenomena in systems ranging from quantum magnets and correlated electron mat...
Infinite-Period Phase Transition versus Nucleation in a Stochastic Model of Collective Oscillations
Infinite-Period Phase Transition Collective Oscillations
2011/9/2
A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al. [Phys. Rev. Lett. 96, 145701 (2006)] to exhibit a phase transition at a critical value of the coupling...
On critical scaling at the QCD N_f=2 chiral phase transition
chiral phase transition critical scaling at the QCD N_f=2
2011/7/21
We investigate the critical scaling of the quark propagator of N_f=2 QCD close to the chiral phase transition at finite temperature. We argue that it is mandatory to take into account the back-reactio...