
Contents
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6.1 Quantum fluids and magnets 6.1 Quantum fluids and magnets
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6.1.1 Non-equilibrium quantum field theory and Keldysh contours 6.1.1 Non-equilibrium quantum field theory and Keldysh contours
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6.1.2 Coherent states representation of the generating functional 6.1.2 Coherent states representation of the generating functional
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6.1.3 Non-equilibrium field operators 6.1.3 Non-equilibrium field operators
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6.1.4 Numerical methods 6.1.4 Numerical methods
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6.2 Classical polymers and soft matter 6.2 Classical polymers and soft matter
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6.2.1 Phenomenological methods with a molecular basis 6.2.1 Phenomenological methods with a molecular basis
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Dynamic self-consistent field theory Dynamic self-consistent field theory
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External potential dynamics External potential dynamics
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Including convective transport Including convective transport
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6.2.2 Hybrid methods: Single chain in a mean-field 6.2.2 Hybrid methods: Single chain in a mean-field
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Theoretical basis Theoretical basis
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Numerical methods: SCMF simulations Numerical methods: SCMF simulations
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Extensions Extensions
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6 Non-equilibrium Extensions
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Published:February 2023
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Abstract
Chapter 6 discusses the extension of field-theoretic representations, models, and numerical methods to treat the dynamical evolution of systems that are out of equilibrium. For Bose fluids and magnets, this entails the use of coherent state fields on complex contours with real and imaginary time segments. Complex Langevin sampling of such non-equilibrium field theories provides access to finite temperature dynamics with full quantum fluctuations, both near and far from equilibrium. For classical polymers, approximations are required to address chain entanglement and time-dependent couplings between chain conformations and collective field variables. Current approaches to mesoscopic field-based polymer dynamics are described, along with their numerical implementation.
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