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We have studied the problem of the dissipative motion of Bloch wallsconsidering a totally anisotropic one dimensional spin chain in the presence ofa magnetic field. Using the so-called "collective coordinate method" weconstruct an effective Hamiltonian for the Bloch wall coupled to the magneticexcitations of the system. It allows us to analyze the Brownian motion of thewall in terms of the reflection coefficient of the effective potential felt bythe excitations due to the existence of the wall. We find that for finitevalues of the external field the wall mobility is also finite. The spectrum ofthe potential at large fields is investigated and the dependence of the dampingconstant on temperature is evaluated. As a result we find the temperature andmagnetic field dependence of the wall mobility.Comment: 20 pages, 5 figure

Mobility of Bloch walls via the collective coordinate method