%0 Journal Article %1 WOS:000445970500002 %A Moreira, Andre A %A Vieira, Cesar M %A Carmona, Humberto A %A Jr., Jose S Andrade %A Tsallis, Constantino %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2018 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW E %K imported %N 3 %R 10.1103/PhysRevE.98.032138 %T Overdamped dynamics of particles with repulsive power-law interactions %V 98 %X We investigate the dynamics of overdamped D-dimensional systems of particles repulsively interacting through short-ranged power-law potentials, V (r) similar to r(-lambda) (lambda/D > 1). We show that such systems obey a nonlinear diffusion equation, and that their stationary state extremizes a q-generalized nonadditive entropy. Here we focus on the dynamical evolution of these systems. Our first-principle D = 1, 2 many-body numerical simulations (based on Newton's law) confirm the predictions obtained from the time-dependent solution of the nonlinear diffusion equation and show that the one-particle space distribution P (x, t) appears to follow a compact-support q-Gaussian form, with q = 1 - lambda/D. We also calculate the velocity distributions P (upsilon(x), t), and, interestingly enough, they follow the same q-Gaussian form (apparently precisely for D = 1, and nearly so for D = 2). The satisfactory match between the continuum description and the molecular dynamics simulations in a more general, time-dependent framework neatly confirms the idea that the present dissipative systems indeed represent suitable applications of the q-generalized thermostatistical theory.

@article{WOS:000445970500002, abstract = {We investigate the dynamics of overdamped D-dimensional systems of particles repulsively interacting through short-ranged power-law potentials, V (r) similar to r(-lambda) (lambda/D > 1). We show that such systems obey a nonlinear diffusion equation, and that their stationary state extremizes a q-generalized nonadditive entropy. Here we focus on the dynamical evolution of these systems. Our first-principle D = 1, 2 many-body numerical simulations (based on Newton's law) confirm the predictions obtained from the time-dependent solution of the nonlinear diffusion equation and show that the one-particle space distribution P (x, t) appears to follow a compact-support q-Gaussian form, with q = 1 - lambda/D. We also calculate the velocity distributions P (upsilon(x), t), and, interestingly enough, they follow the same q-Gaussian form (apparently precisely for D = 1, and nearly so for D = 2). The satisfactory match between the continuum description and the molecular dynamics simulations in a more general, time-dependent framework neatly confirms the idea that the present dissipative systems indeed represent suitable applications of the q-generalized thermostatistical theory.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Moreira, Andre A and Vieira, Cesar M and Carmona, Humberto A and Jr., Jose S Andrade and Tsallis, Constantino}, biburl = {https://www.bibsonomy.org/bibtex/2d795f074b237b56d5fc9362e614a72f5/ppgfis_ufc_br}, doi = {10.1103/PhysRevE.98.032138}, interhash = {101595e9b0666e20f4da258b07bd224c}, intrahash = {d795f074b237b56d5fc9362e614a72f5}, issn = {2470-0045}, journal = {PHYSICAL REVIEW E}, keywords = {imported}, number = 3, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Overdamped dynamics of particles with repulsive power-law interactions}, tppubtype = {article}, volume = 98, year = 2018 }