Nonperturbative evaluation of the diffusion rate in field theory at high temperatures
The Kramers approach to the rate of thermally activated escape from a metastable state is extended to field theory. The diffusion rate in the (1+1)-dimensional sine-Gordon model as a function of temperature and friction coefficient is evaluated numerically by solving the Langevin equation in real ti...
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| Veröffentlicht in: | Physical review. D, Particles and fields Particles and fields, 1993-04, Vol.47 (8), p.3476-3486 |
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| container_issue | 8 |
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| container_title | Physical review. D, Particles and fields |
| container_volume | 47 |
| creator | BOCHKAREV, A DE FORCRAND, P |
| description | The Kramers approach to the rate of thermally activated escape from a metastable state is extended to field theory. The diffusion rate in the (1+1)-dimensional sine-Gordon model as a function of temperature and friction coefficient is evaluated numerically by solving the Langevin equation in real time. A clear crossover from the semiclassical to the high-temperature domain is observed. The temperature behavior of the diffusion rate allows one to determine the kink mass which is found equal to the corresponding classical value. Kramers predictions for the dependence on viscosity are qualitatively valid in this multidimensional case. In the limit of vanishing friction the diffusion rate is shown to coincide with the one obtained from direct measurements of the conventional classical real-time Green's function at finite temperature. |
| doi_str_mv | 10.1103/PhysRevD.47.3476 |
| format | Article |
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The diffusion rate in the (1+1)-dimensional sine-Gordon model as a function of temperature and friction coefficient is evaluated numerically by solving the Langevin equation in real time. A clear crossover from the semiclassical to the high-temperature domain is observed. The temperature behavior of the diffusion rate allows one to determine the kink mass which is found equal to the corresponding classical value. Kramers predictions for the dependence on viscosity are qualitatively valid in this multidimensional case. In the limit of vanishing friction the diffusion rate is shown to coincide with the one obtained from direct measurements of the conventional classical real-time Green's function at finite temperature.</description><identifier>ISSN: 0556-2821</identifier><identifier>EISSN: 1089-4918</identifier><identifier>DOI: 10.1103/PhysRevD.47.3476</identifier><identifier>PMID: 10015967</identifier><identifier>CODEN: PRVDAQ</identifier><language>eng</language><publisher>Ridge, NY: American Physical Society</publisher><subject>DIFFUSION ; ENERGY LEVELS ; EQUATIONS ; Exact sciences and technology ; EXCITED STATES ; FIELD EQUATIONS ; FIELD THEORIES ; Field theory ; FRICTION ; FUNCTIONS 662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-) ; General theory of fields and particles ; GREEN FUNCTION ; LANGEVIN EQUATION ; LIMITING VALUES ; METASTABLE STATES ; Physics ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; QUANTUM FIELD THEORY ; SINE-GORDON EQUATION ; The physics of elementary particles and fields ; TWO-DIMENSIONAL CALCULATIONS ; VISCOSITY</subject><ispartof>Physical review. 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D, Particles and fields</title><addtitle>Phys Rev D Part Fields</addtitle><description>The Kramers approach to the rate of thermally activated escape from a metastable state is extended to field theory. The diffusion rate in the (1+1)-dimensional sine-Gordon model as a function of temperature and friction coefficient is evaluated numerically by solving the Langevin equation in real time. A clear crossover from the semiclassical to the high-temperature domain is observed. The temperature behavior of the diffusion rate allows one to determine the kink mass which is found equal to the corresponding classical value. Kramers predictions for the dependence on viscosity are qualitatively valid in this multidimensional case. 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D, Particles and fields</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>BOCHKAREV, A</au><au>DE FORCRAND, P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonperturbative evaluation of the diffusion rate in field theory at high temperatures</atitle><jtitle>Physical review. D, Particles and fields</jtitle><addtitle>Phys Rev D Part Fields</addtitle><date>1993-04-15</date><risdate>1993</risdate><volume>47</volume><issue>8</issue><spage>3476</spage><epage>3486</epage><pages>3476-3486</pages><issn>0556-2821</issn><eissn>1089-4918</eissn><coden>PRVDAQ</coden><abstract>The Kramers approach to the rate of thermally activated escape from a metastable state is extended to field theory. The diffusion rate in the (1+1)-dimensional sine-Gordon model as a function of temperature and friction coefficient is evaluated numerically by solving the Langevin equation in real time. A clear crossover from the semiclassical to the high-temperature domain is observed. The temperature behavior of the diffusion rate allows one to determine the kink mass which is found equal to the corresponding classical value. Kramers predictions for the dependence on viscosity are qualitatively valid in this multidimensional case. In the limit of vanishing friction the diffusion rate is shown to coincide with the one obtained from direct measurements of the conventional classical real-time Green's function at finite temperature.</abstract><cop>Ridge, NY</cop><pub>American Physical Society</pub><pmid>10015967</pmid><doi>10.1103/PhysRevD.47.3476</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Physical review. D, Particles and fields, 1993-04, Vol.47 (8), p.3476-3486 |
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| source | American Physical Society Journals |
| subjects | DIFFUSION ENERGY LEVELS EQUATIONS Exact sciences and technology EXCITED STATES FIELD EQUATIONS FIELD THEORIES Field theory FRICTION FUNCTIONS 662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-) General theory of fields and particles GREEN FUNCTION LANGEVIN EQUATION LIMITING VALUES METASTABLE STATES Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM FIELD THEORY SINE-GORDON EQUATION The physics of elementary particles and fields TWO-DIMENSIONAL CALCULATIONS VISCOSITY |
| title | Nonperturbative evaluation of the diffusion rate in field theory at high temperatures |
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