Giorgio Torrieri
We use the Crooks fluctuation theorem together with Zubarev hydrodynamics to develop a bottom-up theory of hydrodynamic fluctuations. We also use thermodynamic uncertainity relations to estimate bottom-up limits to dissipative transport coefficients.
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Effective action for relativistic hydrodynamics from Crooks fluctuation theorem
本文利用相对论协变的 Crooks 涨落定理构建相对论涨落流体动力学有效理论，给出因果、稳定、适定条件，并导出与 Schwinger-Keldysh 作用量一致的 Z₂ 对称性和涨落—耗散关系。
We argue that different formulations of hydrodynamics are related to uncertainties in the definitions of local thermodynamic and hydrodynamic variables. We show that this ambiguity can be resolved by viewing different formulations of hydrodynamics as particular "gauge choices" which lead to the same physical behavior of the system. Using the example of bulk viscosity, we show that Bemfica-Disconzi-Noronha-Kovtun (BDNK) and Israel-Stewart hydrodynamics are particular "gauge choices" of this type, related by a well-defined transformation of thermodynamic and hydrodynamic variables. We argue that…
Linearized fluctuating hydrodynamics via random polynomials
本文提出在自由度较少的强热涨落介质中，流体力学色散关系可由随机系数多项式描述，数值研究表明非微扰背景涨落使极点解析结构改变，证明流体力学行为持续存在并增强。
We review recent progress in developing effective field theories (EFTs) for non-equilibrium processes at finite temperature, including a new formulation of fluctuating hydrodynamics, and a new proof of the second law of thermodynamics. There are a number of new elements in formulating EFTs for such systems. Firstly, the nature of IR variables is very different from those of a system in equilibrium or near the vacuum. Secondly, while all static properties of an equilibrium system can in principle be extracted from the partition function, there appears no such quantity which can capture all non-…
The theory of fluctuating hydrodynamics has been an important tool for analyzing macroscopic behavior in nonlinear lattices. However, despite its practical success, its microscopic derivation is still incomplete. In this work, we provide the microscopic derivation of fluctuating hydrodynamics, using the coarse-graining and projection technique; the equivalence of ensembles turns out to be critical. The Green-Kubo (GK) like formula for the bare transport coefficients is presented in a numerically computable form. Our numerical simulations show that the bare transport coefficients exist for a su…
All-order fluctuating hydrodynamics of the SYK lattice
本文研究了SYK晶格的流体动力学，通过非线性伪Goldstone玻色子作用重构有效场论，计算高阶导数展开下的输运系数，揭示强关联量子多体系统微观描述与流体动力学的联系。
What is a Gravitational Path Integral? {\it or} Gravitational Path Integrals as Fluctuating Gravito-Hydrodynamics
本文通过粗粒化流体动力学假设推导引力路径积分公式，并探讨其与量子引力模型及时空拓扑结构的关系。
Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
发展了Schwinger-Keldysh有效场理论描述具有电荷、偶极矩与动量守恒的流体，揭示了类磁振子色散声波等反常模式，并证明动量密度是偶极子对称性的Goldstone玻色子。
Non-Gaussian fluctuations in relativistic hydrodynamics: Confluent equations for three-point correlations
本文推导了相对论随机流体动力学中非高斯波动演化的确定性方程，通过定义平均局部Landau框架及波动流体动力学变量，提出统一的多组分矩阵形式，引入新的相对论形式，实现局部空间基底SO(3)旋转的协变性。
We describe the collective hydrodynamic motion of an incommensurate charge density wave state in a clean electronic system. Our description simultaneously incorporates the effects of both pinning due to weak disorder and also phase relaxation due to proliferating dislocations. We show that the interplay between these two phenomena has important consequences for charge and momentum transport. For instance, it can lead to metal-insulator transitions. We furthermore identify signatures of fluctuating density waves in frequency and spatially resolved conductivities. Phase disordering is well known…
We show that a recent reformulation of hydrodynamic equations for a large class of models consisting of q-dits on a graph with short range interactions is sufficient for understanding chaotic behavior. Any such system consists of large subsystems coupled together by interactions whose relative strength goes to zero with the subsystem size. In the absence of conservation laws other than energy, the Hamiltonians of the subsystems form a complete set of commuting operators. The hydrodynamic variables are the block diagonal matrix elements $ρ(e(X))$ of the density matrix in the joint eigenbasis of…
We demonstrate that fluid mechanical systems arising from large fluctuations of one-dimensional statistical processes generically exhibit solitons and nonlinear waves. We derive the explicit form of these solutions and examine their properties for the specific cases of the Kipnis-Marchioro-Presutti model (KMP) and the Symmetric Exclusion Process (SEP). We show that the two fluid systems are related by a nonlinear transformation, which reveals an additional symmetry in the SEP system, but still have markedly different properties. In particular, the KMP fluid has a nontrivial sound wave spectrum…
A hydrodynamic theory of transport in quantum mechanically phase-disordered superconductors is possible when supercurrent relaxation can be treated as a slow process. We obtain general results for the frequency-dependent conductivity of such a regime. With time-reversal invariance, the conductivity is characterized by a Drude-like peak, with width given by the supercurrent relaxation rate. Using the memory matrix formalism, we obtain a formula for this width (and hence also the dc resistivity) when the supercurrent is relaxed by short range Coulomb interactions. This leads to a new -- effectiv…
Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs
本讲座介绍平衡与非平衡热化系统的有效场论构建，以“强到弱”自发对称破缺框架统一描述涨落流体动力学，并讨论输运参数的紫外/红外约束。
Phase transitions not allowed in equilibrium steady states may happen however at the fluctuating level. We observe for the first time this striking and general phenomenon measuring current fluctuations in an isolated diffusive system. While small fluctuations result from the sum of weakly-correlated local events, for currents above a critical threshold the system self-organizes into a coherent traveling wave which facilitates the current deviation by gathering energy in a localized packet, thus breaking translation invariance. This results in Gaussian statistics for small fluctuations but non-…
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