Nonlinear Projection for Ballistic Correlation Functions: a Formula in Terms of Minimal Connected Covers [0.03%]
非线性投影的弹道相关函数：用最小连接覆盖表示的一个公式
Benjamin Doyon
Benjamin Doyon
In many-body systems, the dynamics is governed, at large scales of space and time, by the hydrodynamic principle of projection onto the conserved densities admitted by the model. This is formalised as local relaxation of fluctuations in the...
First Order Non-Instantaneous Corrections in Collisional Kinetic Alignment Models [0.03%]
碰撞动力学取向模型中的一阶非瞬时修正
Laura Kanzler,Carmela Moschella,Christian Schmeiser
Laura Kanzler
In this work the standard kinetic theory assumption of instantaneous collisions is lifted. A model for higher order non-instantaneous alignment collisions is presented and studied in the asymptotic regime of short collision duration. A firs...
Dimitrios Ampelogiannis,Benjamin Doyon
Dimitrios Ampelogiannis
The emergence of diffusion is one of the deepest physical phenomena observed in many-body interacting, chaotic systems. But establishing rigorously that correlation functions, say of the spin, expand diffusively, remains one of the most imp...
Paul Fendley,Sascha Gehrmann,Eric Vernier et al.
Paul Fendley et al.
Sutherland showed that the XYZ quantum spin-chain Hamiltonian commutes with the eight-vertex model transfer matrix, so that Baxter's subsequent tour de force proves the integrability of both. The proof requires parametrising the Boltzmann w...
Zheng Fang
Zheng Fang
We study how conditioning on the first k steps, which we think of as training, affects the long-term behavior of the Elephant Random Walk. When the elephant is conditioned to be at position k at time k, the first return time to the origin s...
Imogen Camp,Nick G Jones
Imogen Camp
Matrix-product state (MPS) skeletons are connected networks of Hamiltonians with exact MPS ground states that underlie a phase diagram. Such skeletons have previously been found in classes of free-fermion models. For the translation-invaria...
Yan V Fyodorov,Bertrand Lacroix-A-Chez-Toine,Pierre Le Doussal
Yan V Fyodorov
We describe the atypical fluctuations of the ground state energy of the random elastic manifold, a disordered model defined on a lattice of linear size L with internal dimension 0 ≤ d
Leo T Butler,Alireza Sharifi
Leo T Butler
This note studies Hamiltonian systems which are thermostated using the Jellinek-Berry thermostat (J. Phys. Chem. 1988; Phys. Rev. A 1988). Jellinek & Jellinek and Berry propose an extension of Nosé's thermostat (J. Chem. Phys. 1984). They ...
Paolo Cifani,Franco Flandoli
Paolo Cifani
Stochastic transport due to a velocity field modeled by the superposition of small-scale divergence free vector fields activated by Fractional Gaussian Noises (FGN) is numerically investigated. We present two non-trivial contributions: the ...
Alan Rapoport
Alan Rapoport
In the present paper we establish a clear correspondence between probabilities of certain edges belonging to a realization of the uniform spanning tree (UST), and the states of a fermionic Gaussian free field. Namely, we express the probabi...