Statistical mechanics of nonlinear coherent structures: Kinks in the {Phi}{sup 6} model
We study the thermodynamics of kinks in the {Phi}{sup 6} model using a Langevin code implemented on a massively parallel computer. This code can be used to study first order dynamical phase transitions which exhibit multiple length and time scales. The classical statistical mechanics of a 1 + 1-dimensional field theory reduces to a time-independent quantum problem in one dimension via the transfer integral method. Exact solutions of the Schroedinger equation exist for the {Phi}{sup 6} potential (unlike the case for {Phi}{sup 4}) and can be used to check results from the simulations. The {Phi}{sup 6} model is also much richer than the {Phi}{sup 4} model in terms of the variety of coherent structures and possible phases accompanying a phase transition. Specifically, we have calculated (in a one dimensional model) such quantities as the probability density function (PDF) and field-field correlation functions. These quantities help us understand the contribution to the specific heat from coherent structures such as domain walls (kinks) and other transformation structures as opposed to the contribution from lattice vibrations. We have calibrated our results against known exact solutions for limiting cases with very high accuracy. Having understood this problem, we are now extending our Langevin code to higher dimensions.
- Research Organization:
- Los Alamos National Lab., NM (United States)
- Sponsoring Organization:
- Department of Defense, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 10114846
- Report Number(s):
- LA-UR-94-4318; CONF-9409241-7; ON: DE95005253
- Resource Relation:
- Conference: NEEDS `94,Los Alamos, NM (United States),12-16 Sep 1994; Other Information: PBD: [1994]
- Country of Publication:
- United States
- Language:
- English
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