Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics

Chakraborti, Subhadip; Ganapa, Santhosh; Krapivsky, P. L.; Dhar, Abhishek

doi:10.1103/physrevlett.126.244503

Cited by 16 publications

(19 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It will be interesting to extend this study to interacting systems also such as the alternate mass hard particle gas (AMHPG) where the masses of alternate particles take different values. This non-integrable model has been studied extensively in the context of the breakdown of Fourier's law of heat conduction in one dimension [36][37][38][39] and verification of the hydrodynamic description [40][41][42][43]. For this case we expect important differences from the present integrable model even though the equilibrium thermodynamics of both are identical.…”

Section: Discussionmentioning

confidence: 83%

Entropy growth during free expansion of an ideal gas

Chakraborti,

Dhar,

Goldstein

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 83%

Entropy growth during free expansion of an ideal gas

Chakraborti,

Dhar,

Goldstein

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

“…In fact, the most fascinating part of the study lies in observing how the microscopic motion manages to create and maintain a jump discontinuity. Along the same lines is the recent numerical study of blast formation [14].…”

Section: Domain Wall For Non-integrable Chainsmentioning

confidence: 78%

High-low pressure domain wall for the classical Toda lattice

Mendl

Spohn

2022

SciPost Phys. Core

View full text Add to dashboard Cite

We study the classical Toda lattice with domain wall initial conditions, for which left and right half lattice are in thermal equilibrium but with distinct parameters of pressure, mean velocity, and temperature. In the hydrodynamic regime the respective space-time profiles scale ballisticly. The particular case of interest is a jump from low to high pressure at uniform temperature and zero mean velocity. Thereby the scaling function for the average stretch (also free volume) is forced to change sign. By direct inspection, the hydrodynamic equations for the Toda lattice seem to be singular at zero stretch. In our contribution we report on numerical solutions and convincingly establish that nevertheless the self-similar solution exhibits smooth behavior.

show abstract

“…since mv 2 is the typical energy of ejected particles and nv (n being the mean density of particles) is the rate at which particles enter the initially empty half-line x < 0. Dimensional analysis, similar to that used in the blast wave problem (see [16]), allows one to estimate the size of the cascade (equivalently the position of the right-most excited particle). One finds again…”

Section: Microscopic Model and Heuristicsmentioning

confidence: 99%

“…The alternating hard particle (AHP) gas has been extensively investigated in the context of studies on heat transport and hydrodynamics in one dimension [5][6][7][8][9][10][11][12][13][14][15]. In recent work [16,17], the AHP model was used for a numerical verification of the equivalence of the continuum hydrodynamics description and the Newtonian description in the context of the socalled blast problem. The blast problem is similar to the splash problem with the important difference that energy is injected at the centre of a cold gas.…”

Section: Introductionmentioning

confidence: 99%

“…The long time behavior of the blast is described by hydrodynamics. The work in [16,17] find that the bulk of the excited gas is described by the famous Taylor-von Neumann-Sedov (TvNS) self-similar solution of the The plot of the space-time trajectories of moving particles of a typical realization of a splash in a one-dimensional gas. Notice that at the left end we see a fan of particles moving ballistically, while the position of the right-most moving particle (the shock position) evolves sub-ballistically.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A splash in a one-dimensional cold gas

Chakraborti¹,

Dhar²,

Krapivsky³

2022

Preprint

Self Cite

View full text Add to dashboard Cite

We consider a set of hard point particles distributed uniformly with a specified density on the positive half-line and all initially at rest. The particle masses alternate between two values, m and M . The particles interact via collisions that conserve energy and momentum. We study the cascade of activity that results when the left-most particle is given a positive velocity. At long times we find that this leads to two fascinating features in the observed dynamics. First, in the bulk of the gas, a shock front develops separating the cold gas from a thermalized region. The shock-front travels sub-ballistically, with the bulk described by selfsimilar solutions of Euler hydrodynamics. Second, there is a splash region formed by the recoiled particles which move ballistically with negative velocities. The splash region is completely non-hydrodynamic and we propose two conjectures for the long time particle dynamics in this region. We provide a detailed analytic understanding of these coexisting regimes. These are supported by the results of molecular dynamics simulations. Conclusions 15References 16

show abstract

Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics

Cited by 16 publications

References 34 publications

Entropy growth during free expansion of an ideal gas

Entropy growth during free expansion of an ideal gas

High-low pressure domain wall for the classical Toda lattice

A splash in a one-dimensional cold gas

Contact Info

Product

Resources

About