Relaxation of classical many-body Hamiltonians in one dimension
نویسندگان
چکیده
منابع مشابه
Relativistic Hamiltonians in many-body theories.
We discuss the description of a many-body nuclear system using Hamilto-nians that contain the nucleon relativistic kinetic energy and potentials with relativistic corrections. Through the Foldy-Wouthuysen transformation, the field theoretical problem of interacting nucleons and mesons is mapped to an equivalent one in terms of relativistic potentials, which are then expanded at some order in 1/...
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Though one dimensional self-gravitating N -body systems have been studied for three decade, the nature of relaxation was still unclear. There were inconsistent results about relaxation time; some initial state relaxed in the time scale T N t c , but another state did not relax even after T N 2 t c , where t c is the crossing time. The water-bag distribution was believed not to relax after T N 2...
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[email protected] 2 Department of Computer Science, Villanova University, Villanova, USA. e-mail: [email protected] 3 Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, Barcelona, Spain. Partially supported by projects MCYT BFM2003-00368, MEC MTM2006-01267 and Gen. Cat. 2005SGR00692. e-mail: [email protected] 4 Chercheur qualifié du FNRS, Département d...
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A. Shabani,1 M. Mohseni,2 S. Lloyd,2,3 R. L. Kosut,4 and H. Rabitz1 1Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA 2Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 3Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 4SC Solutions, Sunnyva...
متن کاملThree-Body Dynamics in One Dimension
We discuss the general three-particle quantum scattering problem, for motion restricted to the full line. Specifically, we formulate the three-body problem in one dimension in terms of the (Faddeev-type) integral equation approach. As a first application, we develop a spinless, one-dimensional (1-D) model that mimics three-nucleon dynamics in one dimension. In addition, we investigate the effec...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.58.7165