scholarly journals Generalized hydrodynamics of the classical Toda system

2019 ◽  
Vol 60 (7) ◽  
pp. 073302 ◽  
Author(s):  
Benjamin Doyon
Keyword(s):  
Toda System ◽  
Generalized Hydrodynamics

LBE for Generalized Hydrodynamics

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Potential Energy ◽  
Electric Fields ◽  
Chemical Reactions ◽  
Soft Matter ◽  
Fluid Motion ◽  
Life Sciences ◽  
Scientific Discipline ◽  
The Past ◽  
Generalized Hydrodynamics ◽  
Internal Forces

This chapter presents the main techniques to incorporate the effects of external and/or internal forces within the LB formalism. This is a very important task, for it permits us to access a wide body of generalized hydrodynamic applications whereby fluid motion couples to a variety of additional physical aspects, such as gravitational and electric fields, potential energy interactions, chemical reactions and many others. It should be emphasized that while hosting a broader and richer phenomenology than “plain” hydrodynamics, generalized hydrodynamics still fits the hydrodynamic picture of weak departure from suitably generalized local equilibria. This class is all but an academic curiosity; for instance, it is central to the fast-growing science of Soft Matter, a scientific discipline which has received an impressive boost in the past decades, under the drive of micro- and nanotechnological developments and major strides in biology and life sciences at large.

scholarly journals Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions

2006 ◽  
Vol 59 (4) ◽  
pp. 526-558 ◽  
Author(s):  
Jürgen Jost ◽  
Changshou Lin ◽  
Guofang Wang
Keyword(s):  
Existence Of Solutions ◽  
Toda System

scholarly journals Energy transport in an integrable parafermionic chain via generalized hydrodynamics

2018 ◽  
Vol 98 (7) ◽  
Author(s):  
Leonardo Mazza ◽  
Jacopo Viti ◽  
Matteo Carrega ◽  
Davide Rossini ◽  
Andrea De Luca
Keyword(s):  
Energy Transport ◽  
Generalized Hydrodynamics

On the Full-Discrete Extended Generalised q-Difference Toda System

2017 ◽  
Vol 72 (8) ◽  
pp. 703-709
Author(s):  
Chuanzhong Li ◽  
Anni Meng
Keyword(s):  
Difference Equation ◽  
Hamiltonian Structure ◽  
Soliton Solutions ◽  
Toda Equation ◽  
Lax Pairs ◽  
Toda System ◽  
Toda Hierarchy

AbstractIn this paper, we construct a full-discrete integrable difference equation which is a full-discretisation of the generalised q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of an extended generalised full-discrete q-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the extended full-discrete generalised q-Toda hierarchy are given.

ChemInform Abstract: GENERALIZED HYDRODYNAMICS AND THE DEPOLARIZED RAYLEIGH DOUBLET IN ANISALDEHYDE

1974 ◽  
Vol 5 (14) ◽  
pp. no-no
Author(s):  
G. R. ALMS ◽  
D. R. BAUER ◽  
J. I. BRAUMAN ◽  
R. PECORA
Keyword(s):  
Generalized Hydrodynamics

scholarly journals Generalized hydrodynamics regime from the thermodynamic bootstrap program

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Axel Cortes Cubero ◽  
Milosz Panfil
Keyword(s):  
Energy Density ◽  
Correlation Functions ◽  
Form Factors ◽  
Finite Energy ◽  
Axiomatic Approach ◽  
Field Theories ◽  
Relativistic Field ◽  
Generalized Hydrodynamics ◽  
Quantum Integrable Models ◽  
Integrable Field

Within the generalized hydrodynamics (GHD) formalism for quantum integrable models, it is possible to compute simple expressions for a number of correlation functions at the Eulerian scale. Specializing to integrable relativistic field theories, we show the same correlators can be computed as a sum over form factors, the GHD regime corresponding to the leading contribution with one particle-hole pair on a finite energy-density background. The thermodynamic bootstrap program (TBP) formalism was recently introduced as an axiomatic approach to computing such finite-energy-density form factors for integrable field theories. We derive a new axiom within the TBP formalism from which we easily recover the predicted GHD Eulerian correlators. We also compute higher form factor contributions, with more particle-hole pairs, within the TBP, allowing for the computation of correlation functions in the diffusive, and beyond, GHD regimes. The two particle-hole form factors agree with expressions recently conjectured within the GHD.

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