dorsal/arxiv
View SchemaKinetic and Transport Equations for Localized Excitations in Sine-Gordon Model
| Authors | I. V. Baryakhtar, V. G. Baryakhtar, E. N. Economou |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9904010 |
| URL | https://arxiv.org/abs/solv-int/9904010 |
| DOI | 10.1103/PhysRevE.60.6645 |
Abstract
We analyze the kinetic behavior of localized excitations - solitons, breathers and phonons - in Sine-Gordon model. Collision integrals for all type of localized excitation collision processes are constructed, and the kinetic equations are derived. We analyze the kinetic behavior of localized excitations - solitons, breathers and phonons - in Sine-Gordon model. Collision integrals for all type of localized excitation collision processes are constructed, and the kinetic equations are derived. We prove that the entropy production in the system of localized excitations takes place only in the case of inhomogeneous distribution of these excitations in real and phase spaces. We derive transport equations for soliton and breather densities, temperatures and mean velocities i.e. show that collisions of localized excitations lead to creation of diffusion, thermoconductivity and intrinsic friction processes. The diffusion coefficients for solitons and breathers, describing the diffusion processes in real and phase spaces, are calculated. It is shown that diffusion processes in real space are much faster than the diffusion processes in phase space.
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"abstract": "We analyze the kinetic behavior of localized excitations - solitons,\nbreathers and phonons - in Sine-Gordon model. Collision integrals for all type\nof localized excitation collision processes are constructed, and the kinetic\nequations are derived. We analyze the kinetic behavior of localized excitations\n- solitons, breathers and phonons - in Sine-Gordon model. Collision integrals\nfor all type of localized excitation collision processes are constructed, and\nthe kinetic equations are derived. We prove that the entropy production in the\nsystem of localized excitations takes place only in the case of inhomogeneous\ndistribution of these excitations in real and phase spaces. We derive transport\nequations for soliton and breather densities, temperatures and mean velocities\ni.e. show that collisions of localized excitations lead to creation of\ndiffusion, thermoconductivity and intrinsic friction processes. The diffusion\ncoefficients for solitons and breathers, describing the diffusion processes in\nreal and phase spaces, are calculated. It is shown that diffusion processes in\nreal space are much faster than the diffusion processes in phase space.",
"arxiv_id": "solv-int/9904010",
"authors": [
"I. V. Baryakhtar",
"V. G. Baryakhtar",
"E. N. Economou"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1103/PhysRevE.60.6645",
"title": "Kinetic and Transport Equations for Localized Excitations in Sine-Gordon Model",
"url": "https://arxiv.org/abs/solv-int/9904010"
},
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